sample_id stringlengths 21 23 | level int64 1 14 | grade stringclasses 14
values | topic stringclasses 441
values | new_concept stringclasses 14
values | learner_response stringlengths 2 463 | problem stringlengths 2 6.12k | cot_solution stringlengths 0 3.86k | answer stringlengths 13 2.21k |
|---|---|---|---|---|---|---|---|---|
jp-math-l01-1846-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | èµ€ãã·ãŒã«ã2æãã£ãŠãããã«éãã·ãŒã«ã6æå¢ãããã©âŠâŠå
šéšã§äœæã«ãªãã®ããã©ããã£ãŠæ°ããã°ããã®ãåãããŸããã | ããŒãã«ãèµ€ãã·ãŒã«ã2æã¯ã£ãŠãããŸããããã«ãéãã·ãŒã«ã6æã¯ããŸãããããŒãã«ã¯ãå
šéšã§äœæã®ã·ãŒã«ãã¯ã£ãŠãããŸããã | ãªãã»ã©ããŸã ãåãããããšããèãæ¹ã«æ
£ããŠããªãã¿ããã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãä»ãããã®ã®æ°ãšãæ°ããå¢ãããã®ã®æ°ã ãã
ããŒãã«ã¯ãããšããšèµ€ãã·ãŒã«ã $2$ æãããããã«ãéãã·ãŒã«ã $6$ æã¯ããšããããšã ãããæ°ã¯ã©ãã©ãå¢ããŠããããã
ãããããšãã¯ãä»ããæ°ããé çªã«æ°ãäžããŠããã®ãäžçªç¢ºå®ã ãã
ãŸã㯠$2$ æãããšããããå§ããŠãããã« $6$ ååãæ°ãå¢ãããŠã¿ãããã
$2$ ã®æ¬¡ã®æ°ã¯ $3$ããã®æ¬¡ã¯ $4$ã $5$ã $6$ã $7$ã ãã㊠$8$ã
ããã§ $6$ ååæ°ãäžãããã
ãã®ãæ°ãäžããããšããæäœãåŒã«ãããšãè¶³ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšãã£ãèµ€ãã·ãŒã« $2$ æã«ãéãã·ãŒã« $6$ æããä»ãè¶³ãããšããããšã ãã
åã¯ãããã $2$ ããå§ã㊠$6$ ååæ°ãæ°ãäžããæ¹æ³ã§èãããã
$2$ ããæ°ãããšã $3, 4, 5, 6, 7, 8$ ãšãªããããå
šéšã§ $8$ æã«ãªããã
ãããåŒã«ãããšã $2 + 6 = 8$ ãšæžãããã
åã®ç¢ºèªã§ã¯ãçãã® $8$ æããéãã·ãŒã«ã® $6$ æãåŒããš $8 - 6 = 2$ ã«ãªããã¯ããã®èµ€ãã·ãŒã«ã®æ°ãšãŽã£ããåãã
ã ãããçã㯠$8$ æã§ééããªããã
çã: $\boxed{8 \text{ æ}}$ |
jp-math-l01-416-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èµ€ããªãã³ã 7 ã»ã³ããããŸããéããªãã³ã 3 ã»ã³ããããŸããèµ€ããªãã³ã¯ãéããªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãèµ€ããªãã³ãéããªãã³ããäœã»ã³ãé·ããããšããã2ã€ã®é·ãã®å·®ãæ±ããããšãç®çã ãã
æ¡ä»¶ã確èªãããšãèµ€ããªãã³ã¯ $7$ ã»ã³ãã§ãéããªãã³ã¯ $3$ ã»ã³ããæ°åãæ¯ã¹ãã°ãèµ€ããªãã³ã®ã»ããé·ãã®ã¯æããã ãã
ãã®å·®ãåºãã«ã¯ãé·ãæ¹ã®æ°ããçãæ¹ã®æ°ãåŒãã°ãããã ãããåã¯ãããåŒãç®ã®èšç®ã§è§£ããã
$$7 - 3 = 4$$
èšç®çµæã¯ $4$ ã«ãªã£ãããããã§äžåºŠããã®çããæ£ããã確èªããŠã¿ããã
ããèµ€ããªãã³ãéããªãã³ãã $4$ ã»ã³ãé·ããªããéããªãã³ã® $3$ ã»ã³ãã« $4$ ã»ã³ããè¶³ãããšããèµ€ããªãã³ã® $7$ ã»ã³ãã«æ»ãã¯... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ã2ã€ã®ãªãã³ã®ãé·ãã®å·®ãã ãšããããšã ãã
èµ€ããªãã³ã $7$ ã»ã³ããéããªãã³ã $3$ ã»ã³ãã ããããã®å·®ãæ±ããããã«åŒãç®ãããŠã¿ããã
$$7 - 3 = 4$$
èšç®ãããš $4$ ã»ã³ãã«ãªããã
åã®ç¢ºèªã§ã¯ãçãæ¹ã®éããªãã³ $3$ ã»ã³ãã«ãããŸåºãã差㮠$4$ ã»ã³ããè¶³ããš $3 + 4 = 7$ ã»ã³ãã«ãªããèµ€ããªãã³ã®é·ããšãŽã£ããåãããã ãããããã§ééããªããã
çã㯠$4$ ã»ã³ãã ãã |
jp-math-l01-072-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | å
çãããããããã«ã·ãŒã«ã8æãšãããŽã€ã1æ¬ãããŸãããã¯ãªãããã«ã¯ãã·ãŒã«ã3æãããŸãããã©ã¡ãã®äººããäœæå€ãã·ãŒã«ãããã£ãã§ããããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããã®åé¡ã§æ¯ã¹ããã®ã¯ãã·ãŒã«ãã®ææ°ã ãã ãã
æ¡ä»¶ã確èªããŠã¿ããã
ãããããã¯ã·ãŒã«ã $8$ æããã£ããããããŽã€ã $1$ æ¬ããã£ãŠããããã©ãã·ãŒã«ã®ææ°ãæ¯ã¹ãæã«ã¯ããã¯é¢ä¿ãªããããåãªãç¡èŠãããã
äžæ¹ãã¯ãªãããã¯ã·ãŒã«ã $3$ æããã£ãã
ããã§ãã©ã¡ããå€ãã倧å°ãæ¯ã¹ããã
$8$ ãš $3$ ãæ¯ã¹ããšãåœç¶ $8$ ã®æ¹ã倧ããããã ãããå€ãããã£ãã®ã¯ãããããã ã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
åã¯ãã®èšç®ããåŒãç®ã§èãããã
$$8 - 3 = 5$$
èšç®ãããš $5$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããã·ãŒã«ã®ææ°ãã ãšããããšã ããããããããããã£ããããŽã€ã¯ãææ°ãæ¯ã¹ãæã«ã¯é¢ä¿ãªãããèããªããŠãããã
åã®ç¢ºèªã§ã¯ãããããã㯠$8$ æãã¯ãªããã㯠$3$ æã®ã·ãŒã«ãããã£ãŠããã$8$ 㯠$3$ ãã倧ãããããå€ãããã£ãã®ã¯ãããããã ãã
ã©ããããå€ããå·®ãèšç®ãããšã
$$8 - 3 = 5$$
ãšãªãã $5$ æãšããçµæã«ãªãããããã« $3$ æã« $5$ æãè¶³ãã° $8$ æã«ãªããããèšç®ã¯åã£ãŠãããã
ã ããçãã¯ããããããã $5$ æå€ããã§ééããªããã
çã: ãããããã $5$ æå€ã |
jp-math-l01-884-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãèåäœããããŠããŸãã
ãããããã¯ããã§ã³ã7åæã£ãŠããŸããããã®ãã¡3åã䜿ããŸããã
ãããããã¯ããã§ã³ã5åæã£ãŠããŸãã
ããŸããã§ã³ãå€ãæã£ãŠããã®ã¯ãã©ã¡ãã®äººã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããŸèª°ãäœåã®ãã§ã³ãæã£ãŠããããšããããšã ãã
ãããããã¯æåãã $5$ åæã£ãŠããããã©ããããããã¯æã£ãŠããæ°ããäžéšã䜿ã£ããããä»ã®æ°ãèšç®ããå¿
èŠããããã
ããããã㯠$7$ åæã£ãŠããŠããã®ãã¡ $3$ åã䜿ã£ãã
ãšããããšã¯ãä»ã®æ°ã¯åŒãç®ã§æ±ãããããã
$7 - 3 = 4$
ããã§ãããããããããŸæã£ãŠãããã§ã³ã¯ $4$ åã ãšåãã£ããã
ããã§èŠãã¹ããªã®ã¯ããããããã® $4$ åãšããããããã® $5$ åã®ã©ã¡ããå€ãããšããããšã ãã
æ°ãæ¯ã¹ãŠã¿ããšã $4$ ããã $5$ ã®ã»ãã倧ããã
ã€ãŸãã $4 < 5$ ãšããããšã«ãªããã
念ã®ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããŸäºäººãããããäœåã®ãã§ã³ãæã£ãŠãããã ãã
ããããã㯠$5$ åæã£ãŠããããã©ãããããã㯠$7$ åæã£ãŠãããšãããã $3$ å䜿ã£ããããããŸæã£ãŠããæ°ã¯ $7 - 3 = 4$ åã«ãªãã
ããã§èŠãã¹ããªã®ã¯ããããããã® $4$ åãšãããããã® $5$ åã®ã©ã¡ããå€ãããšããããšã ãã
åã®ç¢ºèªã§ã¯ã $4 < 5$ ãªã®ã§ããããããã®ã»ããæ°ãå€ãããšãåãããã
ãããã«ããããããã® $4$ åã« $3$ åãè¶³ãã°å
ã® $7$ åã«æ»ããããèšç®ãééã£ãŠããªããã
ã ããçãã¯ããããããã ãã
çã: $\boxed{ããããã}$ |
jp-math-l01-792-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æå®€ã«ãéãããŒãã7åãšãèµ€ãããŒãã3åãããŸãããŸããé»è²ããããŽã€ã2æ¬ãããŸããéãããŒãã¯ãèµ€ãããŒãããäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããåé¡ã«ã¯ããŒããšãããŽã€ã®äž¡æ¹ãåºãŠããããã©ãæ±ãããã®ã¯ãéãããŒããèµ€ãããŒãããäœåå€ããããšããããšãã€ãŸãããããŽã€ã®æ°ã¯èšç®ã«é¢ä¿ãªããšããããšã«ãªããã
ããã§èŠãã¹ããªã®ã¯ãããŒãã®æ°ã ãã ã
éãããŒã㯠$7$ åã
èµ€ãããŒã㯠$3$ åã
ãã©ãã ãå€ããããç¥ããããšãã¯ãåŒãç®ã䜿ãã°ããã
$7 - 3 = 4$
èšç®çµæã¯ $4$ ã«ãªã£ããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿ããã
èµ€ãããŒãã® $3$ åã«ãä»åºãã差㮠$4$ åãè¶³ããšã $3 + 4 = 7$ åã
ãããã«éãããŒãã®æ°ãšäžèŽãããã
æ¡ä»¶ãæŽçããŠèšç®ãã確èªãŸã§ããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãéãããŒããèµ€ãããŒãããäœåå€ããããæ±ããããããããŽã€ã®æ° $2$ æ¬ã¯èããªããŠãããã
åã®èŠæ¹ã§ã¯ãããã¯åçŽãªå·®ãæ±ããåé¡ã ãã
éãããŒãã® $7$ åãããèµ€ãããŒãã® $3$ åãåŒããŠã
$7 - 3 = 4$
確èªãããšãèµ€ãããŒãã® $3$ åã«ãã® $4$ åãè¶³ãã°ãã¡ãããšéãããŒãã® $7$ åã«ãªãã
ã ããçã㯠$4$ åã§åã£ãŠãããã
çã: $\boxed{4\text{å}}$ |
jp-math-l01-727-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | çç§ã®å®éšã§ã2ã€ã®ã«ããã«çš®ãå
¥ããŸããã
ã«ããAã«ã¯çš®ã7ç²ãããŸãã
ã«ããBã«ã¯çš®ã4ç²ãããŸãã
ã«ããBã®çš®ã®æ°ããã«ããAãšåãæ°ã«ãããã§ãã
ã«ããBã«ããšäœç²ã®çš®ãå
¥ããã°ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãã«ããAãšã«ããBã®çš®ã®æ°ã®éãã ãã
ã«ããAã«ã¯ $7$ ç²ãã«ããBã«ã¯ $4$ ç²ããã
åã¯ãã®åé¡ããã«ããBãã«ããAãšåã $7$ ç²ã«ãªãããã«ãããšããã€è¶³ããªãããæ¢ããå·®ãã®åé¡ã ãšèŠããã
ããã§ã倧ããæ¹ã®æ°ããå°ããæ¹ã®æ°ãåŒããŠããã®å·®ãèšç®ããŠã¿ããã
$$7 - 4 = 3$$
èšç®ãããšã差㯠$3$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
ä»ããã«ããBã® $4$ ç²ã«ãåºããçãã® $3$ ç²ãè¶³ããŠã¿ããã
$$4 + 3 = 7$$
ãããã«ãã«ããAãšåã $7$ ç²ã«ãªã£ããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠãããããåã®çãã¯ããã§ééããªããã
... | ãŸã泚ç®ãã¹ãç¹ã¯ãã«ããAã® $7$ ç²ã«å¯ŸããŠãã«ããB㯠$4$ ç²ãããªããšããããšã ãã
ã«ããBãã«ããAãšåãæ°ã«ããã«ã¯ããã®å·®ã®åã ãçš®ãè¶³ãã°ããã
åã¯ããããåŒãç®ã§å·®ãæ±ããåé¡ã ãšèŠããã
èšç®ãããšã
$$7 - 4 = 3$$
ãšãªããããš $3$ ç²å¿
èŠã ãšããããšãåãããã
åã®ç¢ºèªã§ã¯ãä»ã® $4$ ç²ã« $3$ ç²ãè¶³ããš $4 + 3 = 7$ ç²ã«ãªããã¡ãããšã«ããAãšåãæ°ã«ãªãã
ã ããçã㯠$3$ ç²ã§åã£ãŠãããã
çã: $\boxed{3}$ ç² |
jp-math-l01-507-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æ€ç©ã®æé·ã調ã¹ãèšé²ããããŸãã
ã»ãã©ã³ã¿ãŒAïŒèœãåºãæ° 2ã
ã»ãã©ã³ã¿ãŒBïŒèœãåºãæ° 7ã
ã©ã¡ãã®ãã©ã³ã¿ãŒã«ã 9ã€ã®çš®ããŸããŠããŸããã
ãã©ã³ã¿ãŒBã¯ããã©ã³ã¿ãŒAããããèœãåºãæ°ãããã€å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããã®åé¡ã§æ±ãããã®ã¯ããã©ã³ã¿ãŒBããã©ã³ã¿ãŒAããããèœãåºãæ°ãããã€å€ããããšããããšãã€ãŸãã2ã€ã®ãã©ã³ã¿ãŒã®èœã®æ°ã®ãå·®ããèŠãã°ãããã ãã
ããã§æ¡ä»¶ã確èªãããã
ãã©ã³ã¿ãŒAã®èœã¯ $2$ ãã
ãã©ã³ã¿ãŒBã®èœã¯ $7$ ãã
ã©ã¡ãã«ã $9$ ã€ã®çš®ããŸãããšããæ¡ä»¶ãããããã©ãèãããŠããã®ã¯ãèœãåºãæ°ãã®å·®ã ããããã® $9$ ãšããæ°åã¯èšç®ã«ã¯äœ¿ããªããããããåãéããªãããã«ãã
åã¯ããããåŒãç®ã®åé¡ãšããŠè§£ããã
ãã©ã³ã¿ãŒBã® $7$ ãããããã©ã³ã¿ãŒAã® $2$ ããåŒããŠã¿ããã
$$7 - 2 = 5$$
èšç®çµæã¯ $5$ ã«... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãã©ã³ã¿ãŒBããã©ã³ã¿ãŒAãããããã€å€ããããšããå·®ãæ±ãããããçš®ããŸããæ°ã§ã¯ãªããèœãåºãæ°ã«æ³šç®ãããã
ãã©ã³ã¿ãŒB㯠$7$ ãããã©ã³ã¿ãŒA㯠$2$ ãã ããããã®å·®ãèšç®ãããš
$$7 - 2 = 5$$
ã«ãªããã
åã®ç¢ºèªã§ã¯ããã©ã³ã¿ãŒAã® $2$ ãã«ãã® $5$ ããè¶³ãã° $2 + 5 = 7$ ãã«ãªããã¡ãããšãã©ã³ã¿ãŒBã®æ°ãšäžèŽãããã ããçã㯠$5$ ãã§ééããªããã
çã: $\boxed{5\text{ã}}$ |
jp-math-l01-386-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éããªãã³ã 7 ã»ã³ããããŸããèµ€ããªãã³ã 4 ã»ã³ããããŸããéããªãã³ã¯èµ€ããªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãéããªãã³ãèµ€ããªãã³ããäœã»ã³ãé·ããããšãããäºã€ã®é·ãã®å·®ãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããã
éããªãã³ã¯ $7$ ã»ã³ãã
èµ€ããªãã³ã¯ $4$ ã»ã³ãã
åã¯ããããåŒãç®ã®åé¡ãšããŠèããããé·ãæ¹ã® $7$ ã»ã³ããããçãæ¹ã® $4$ ã»ã³ããåŒãã°ããã®å·®ãã¯ã£ããããã¯ãã ãã
èšç®ããŠã¿ããã
$$7 - 4 = 3$$
ããã§äžåºŠãåã®èšç®ãæ£ããã確èªããŠãããã
èµ€ããªãã³ã® $4$ ã»ã³ãã«ãä»åºãã差㮠$3$ ã»ã³ããè¶³ããŠãéããªãã³ã® $7$ ã»ã³ãã«æ»ããã©ãããèŠããã ã
$$4 + 3 = 7$$
ãããã«ããŽã£ããåããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯éããªãã³ãšèµ€ããªãã³ã®é·ãã®å·®ãæ±ãããããåã¯åŒãç®ã䜿ã£ãŠèãããã
éããªãã³ã® $7$ ã»ã³ãããèµ€ããªãã³ã® $4$ ã»ã³ããåŒããšã
$$7 - 4 = 3$$
ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $3$ ã»ã³ããšããçãã«èµ€ããªãã³ã® $4$ ã»ã³ããè¶³ããš $4 + 3 = 7$ ã»ã³ãã«ãªããã¡ãããšéããªãã³ã®é·ãã«äžèŽãããã ãããããã§ééããªããã
çã: $3$ ã»ã³ã |
jp-math-l01-1930-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãã§ã³ã®æ°ãšããã©ã®æ°ãå¥ã
ã«æžããŠãããããã©ããã£ãŠãå
šéšã§ãã®æ°ãæ°ããã°ããã®ãåãããªããã | ãç¿ã2æãããŸãã
Aã®ãç¿ã«ã¯ããã§ã³ã®ã¯ãããŒã3æãšãããã©ã®ã¯ãããŒã1æã®ã£ãŠããŸãã
Bã®ãç¿ã«ã¯ããã§ã³ã®ã¯ãããŒã2æãšãããã©ã®ã¯ãããŒã3æã®ã£ãŠããŸãã
å
šéšã§5æã®ã¯ãããŒãã®ã£ãŠããã®ã¯ãã©ã¡ãã®ãç¿ã§ããã | çš®é¡ãéããããã©ãåãããŠãããè¿·ã£ã¡ãã£ããã ããã§ã倧äžå€«ãåãæãããã
ãŸã泚ç®ãã¹ãç¹ã¯ããå
šéšã§ããšããèšèã®æå³ã ããããã¯ããã§ã³ãããã©ãã«é¢ä¿ãªãããç¿ã®äžã«ããã¯ãããŒãå
šéšãŸãšããŠæ°ããã°ããã£ãŠããããšãªãã ãçš®é¡ãéã£ãŠããåããã¯ãããŒããªãäžç·ã«æ°ããŠãããã ãã
ããããå®éã«ãç¿ã®äžèº«ã確èªããŠã¿ããã
ãŸããAã®ãç¿ãèŠãŠãããã
ãã§ã³ã $3$ æã§ãããã©ã $1$ æã ããããããŸãšããŠæ°ãããšã
$$3 + 1 = 4$$
ã«ãªããã€ãŸããAã®ãç¿ã«ã¯å
šéšã§ $4$ æã®ã¯ãããŒãã®ã£ãŠããããšã«ãªããã
次ã«ãBã®ãç¿ã確èªãããã
ãã¡ãã¯ãã§ã³ã $2$ æã§ãããã©ã... | ãŸã泚ç®ãã¹ãç¹ã¯ããå
šéšã§ããšããèšèã ããããã¯ãã§ã³ãšããã©ãåºå¥ããã«ããŸãšããŠæ°ãããšããããšã ãã
åãããããã®ãç¿ã®åèšãèšç®ããŠã¿ããã
Aã®ãç¿ã¯ããã§ã³ $3$ æãšããã© $1$ æã ãããå
šéšã§ $3 + 1 = 4$ æã«ãªãã
Bã®ãç¿ã¯ããã§ã³ $2$ æãšããã© $3$ æã ãããå
šéšã§ $2 + 3 = 5$ æã«ãªããã
ããã§èŠãã¹ããªã®ã¯ãåé¡ã®æ¡ä»¶ã§ãããå
šéšã§ $5$ æããšããç¹ã ã
åã®ç¢ºèªã§ã¯ãAã® $4$ æã¯æ¡ä»¶ã«åããªãããã©ãBã® $5$ æã¯ãŽã£ããæ¡ä»¶ã«åã£ãŠãããã
ã ãããçã㯠Bã®ãç¿ ã ãã
$\boxed{Bã®ãç¿}$ |
jp-math-l01-1624-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çãã¯6æ¬ã ãšæããŸããã«ããããšãããããã3æ¬ãã€ã ãã $3 + 3 = 6$ ã«ãªããšæã£ããã§ããã©ãããŸããã®2æ¬ã¯æ°ããªããŠãããã§ããããâŠâŠïŒ | æçã®ææãããããŸãã
ã«ãããã3æ¬çšæããŸããã
ãããããããã«ããããšåãæ°ã ãçšæããŸãã
ããŸããã2æ¬çšæããŸããããããŸããã¯äœ¿ããŸããã
䜿ãã«ããããšãããããã¯ãå
šéšã§äœæ¬ã§ããã | ãµãµããèªä¿¡ããªãããã ããã§ããçµè«ããèšãããåã®çãã¯æ£è§£ã ïŒ
ãŸã泚ç®ãã¹ãç¹ã¯ãåé¡ã§ãäœãèãããŠããããã ããããã§ã¯ã䜿ãã«ããããšããããããã®åèšãèããŠãããã
æ¡ä»¶ãæŽçããŠã¿ããã
ã«ããã㯠$3$ æ¬ã
ãããããã¯ãã«ããããšåãæ°ãã ãããããã $3$ æ¬ã«ãªããã
ããã§ãåãè¿·ã£ãŠããããŸããã«ã€ããŠã ãã©ãå顿ã«ãããŸããã¯äœ¿ããŸããããšã¯ã£ããæžããŠãããããªãããã ãããããŸããã® $2$ æ¬ã¯èšç®ã«å
¥ããå¿
èŠã¯ãªããã ãããããèŠæããŠããã°å€§äžå€«ãã
ããããèšç®ã確èªããŠã¿ããã
䜿ãã®ã¯ã«ãããã® $3$ æ¬ãšããããããã® $3$ æ¬ã ãã
$$3 + 3 = 6$$
... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããäœ¿ãææãã ãã ãšããããšã ãã
æ¡ä»¶ã確èªãããšãã«ããã㯠$3$ æ¬ã§ãããããããåãæ°ã® $3$ æ¬ãäžæ¹ã§ãããŸããã® $2$ æ¬ã¯ã䜿ããªãããšæžããŠãããããèšç®ã«å«ããŠã¯ãããªããã
åã®ç¢ºèªã§ã¯ãèšç®åŒã¯ãããªããã
$$3 + 3 = 6$$
ããã«ãåèšã® $6$ æ¬ããã«ãããã® $3$ æ¬ãåŒããš $6 - 3 = 3$ æ¬ã«ãªãããããããã®æ°ãšäžèŽããããšãããããã®çãã§ééããªããã
ã ããçã㯠$6$ æ¬ã ãã |
jp-math-l01-331-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãããã2ãè²·ããŸãããæ¬¡ã«ãã¿ããã5ãè²·ããŸãããè²·ã£ããã ãã®ã¯å
šéšã§äœãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãããããšã¿ãããåãããŠå
šéšã§äœãã«ãªã£ãããã€ãŸãåèšãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããã
ããã㯠$2$ ãã
ã¿ãã㯠$5$ ãã
åã¯ããããåçŽãªè¶³ãç®ã®åé¡ãšããŠèŠããã
åŒã«ãããšã
$$2 + 5 = 7$$
ã«ãªããã
ããã§äžåºŠãåã®èšç®ãæ£ããã確èªããŠã¿ããã
$2$ ããå§ããŠãã¿ããã®æ°ã ã $5$ ã€æ°ãäžããŠã¿ããã
$3, 4, 5, 6, 7$ã
ãŽã£ãã $7$ ã«ãªã£ããã
ãŸããéããèã㊠$7$ ããã¿ããã® $5$ ããåŒããŠã¿ããã
$$7 - 5 = 2$$
ã¡ãããšãã¯ããã®ãããã®æ°ã§ãã $2$ ãã«æ»ã£ãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããšã¿ãããåããããå
šéšã®æ°ããèãããŠããããšã ãã
æ¡ä»¶ãèŠããšããããã $2$ ãã§ãã¿ããã $5$ ããããã ãããããããè¶³ãåãããã°ããã
èšç®åŒã¯ $2 + 5 = 7$ ãšãªããã
åã®ç¢ºèªã§ã¯ã $2$ ã« $5$ ãè¶³ã㊠$7$ ã«ãªãããéã« $7$ ãã $5$ ãåŒãã° $2$ ã«æ»ããããèšç®ã¯ãŽã£ããåã£ãŠãããã
ãšããããã§ãçã㯠$\boxed{7}$ ããã |
jp-math-l01-1732-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çã㯠5 æã ãšæããŸãã3 æã« 5 æãè¶³ããš 8 æã«ãªãããâŠâŠãã§ããæ¬åœã«ããã§åã£ãŠããã®ããªïŒ | ããçåŸããããªã³ãã 3 ææã£ãŠããŸããå
šéšã§ 8 æã«ããã«ã¯ãããšäœæããªã³ããå¿
èŠã§ãã | ãµãµããèªä¿¡ããªãã¿ããã ããã§ã倧äžå€«ãåã®èãæ¹ã¯æ£è§£ã ããåããã£ãã確èªããŠããããããèŠãŠããŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ã仿ã£ãŠããææ°ãšãæçµçã«æ¬²ããææ°ã®å·®ã ãã
仿ã£ãŠããã®ã¯ $3$ æã§ãå
šéšã§ $8$ æã«ãããã
ãã®ãšããããšäœæå¿
èŠããç¥ããããªããå
šäœã® $8$ æããä»ã® $3$ æãåŒããŠã¿ãã°ããã
èšç®ããŠã¿ããã
$$8 - 3 = 5$$
ããã§ãå¿
èŠãªææ°ã¯ $5$ æã ãšããããšãåãããã
ããã§ãæ¬åœã«ããã§åã£ãŠãããæ€ç®ããŠã¿ãããã
ä»ãã $3$ æã«ãåºããçãã® $5$ æãè¶³ããŠã¿ããã
$$3 + 5 = 8$$
èŠãŠããããã¡ãããšå
šéšã§ $8$ æã«... | åã®ç¢ºèªã§ããåã®çãã§åã£ãŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãå
šéšã§ $8$ æã«ããããã«ãä»ã® $3$ æããã©ãã ãå¢ããå¿
èŠãããããšããããšã ãã
èšç®åŒã«ãããš $8 - 3 = 5$ ãšãªããããå¿
èŠãªã®ã¯ $5$ æã«ãªãã
ããã§ãä»ã® $3$ æã« $5$ æãè¶³ã㊠$3 + 5 = 8$ ã«ãªãããšã確èªããã°ãæ¡ä»¶ã«ãŽã£ããåããã
ã ããçã㯠$5$ æã§ééããªããã
çã: $\boxed{5\text{æ}}$ |
jp-math-l01-1316-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éããªãã³ã 7 ã»ã³ããããŸããèµ€ããªãã³ã 3 ã»ã³ããããŸãã
éããªãã³ã¯ãèµ€ããªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããå
šéšã§äœã»ã³ããããã§ã¯ãªãããéããªãã³ãèµ€ããªãã³ããã©ãã ãé·ããããšããå·®ãæ±ããåé¡ã ãã
æ¡ä»¶ã確èªãããšãéããªãã³ã¯ $7$ ã»ã³ãã§ãèµ€ããªãã³ã¯ $3$ ã»ã³ãã
éãæ¹ãé·ãããããã®å·®ãåºãã«ã¯åŒãç®ã䜿ãã°ããã
èšç®ããŠã¿ããã
$$7 - 3 = 4$$
ããã§ãåã®èšç®ãæ£ããã確èªããŠãããã
èµ€ããªãã³ã® $3$ ã»ã³ãã«ãä»åºãã差㮠$4$ ã»ã³ããè¶³ããŠãéããªãã³ã® $7$ ã»ã³ãã«æ»ããèŠãŠã¿ããã
$$3 + 4 = 7$$
ãŽã£ããåããã
ãšããããã§ãèšç®ãšç¢ºèªã®äž¡æ¹ã§ééãããªãããšãåãã£ããã
çã㯠$4$ ã»ã³ãã ãã
... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãªãã³ã®åèšã§ã¯ãªããéããªãã³ãèµ€ããªãã³ããã©ãã ãé·ãããšãããå·®ããæ±ãããã
åã®èŠæ¹ã§ã¯ãéããªãã³ã® $7$ ã»ã³ãããèµ€ããªãã³ã® $3$ ã»ã³ããåŒãã°ããã
èšç®ãããšã
$$7 - 3 = 4$$
ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $4$ ã»ã³ãã«èµ€ããªãã³ã® $3$ ã»ã³ããè¶³ããš $3 + 4 = 7$ ã»ã³ãã«ãªããã¡ãããšéããªãã³ã®é·ãã«æ»ããã ããããã®çãã§ééããªããã
çã: $4$ ã»ã³ã |
jp-math-l01-094-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãç¿ã« éèã ãªãã¹ãŸãã
1æç®ã®ãç¿ã«ãã«ãããã 2å ãããŸããã
2æç®ã®ãç¿ã«ã1æç®ãšåãæ°ã ã ã«ãããã ãããŸããã
3æç®ã®ãç¿ã«ãããŸããã 3å ãããŸããã
å
šéšã§ éè㯠äœå ã«ãªããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ãç¿ã«äœåã®éèãããããæ£ç¢ºã«èªã¿åãããšã ãã
1æç®ã®ãç¿ã«ã¯ãã«ãããã $2$ åããã
次ã«2æç®ã®ãç¿ã ãã©ãããããã€ã³ãã ããã1æç®ãšåãæ°ã ãããšãããããããã«ãã«ãããã $2$ åããããšã«ãªããã
ãããŠ3æç®ã®ãç¿ã«ã¯ãããŸããã $3$ åãããã
å
šéšã§äœåã«ãªããèšç®ããŠã¿ããã
ãŸãã¯1æç®ãš2æç®ã®ã«ããããåããããšã
$2 + 2 = 4$ åã«ãªãã
ããã«3æç®ã®ããŸãã $3$ åãè¶³ããšã
$4 + 3 = 7$ åã ãã
åã®ç¢ºèªã§ã¯ãã«ãããã $2$ åãš $2$ åã§åãã㊠$4$ åãããã«ããŸããã $3$ åå ãã£ãŠãå
šéšã§ ... | ãŸã泚ç®ãã¹ãç¹ã¯ã2æç®ã®ãç¿ã®æ°ã ããã1æç®ãšåãæ°ããšããããšã ãããããã«ãã«ãããã $2$ åãããšèŠããã
ããã§ãå
šéšã®æ°ãèšç®ããŠã¿ããã
1æç®ãš2æç®ã®ã«ãããã§ $2 + 2 = 4$ åã
ããã«3æç®ã®ããŸãã $3$ åãè¶³ããŠã $4 + 3 = 7$ åã«ãªããã
åã®ç¢ºèªã§ã¯ãã«ããã $4$ åãšããŸãã $3$ åãåãããŠãåèš $7$ åã§ééããªããã
ã ããçã㯠$7$ åã ãã
$\boxed{7\text{å}}$ |
jp-math-l01-089-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç®ãæ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 1çµã¯9人ã§ããã®ãã¡3人ã峿žå®€ã«è¡ããŸããã
2çµã¯8人ã§ããã®ãã¡4人ã峿žå®€ã«è¡ããŸããã
æå®€ã«æ®ã£ãŠãã人æ°ãå€ãã®ã¯ãã©ã¡ãã®çµã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãã峿žå®€ã«è¡ã£ã人æ°ãã§ã¯ãªããæå®€ã«æ®ã£ãŠãã人æ°ãã ãšããããšã ãããããåãéããªãããã«ãããã
ãŸãã¯1çµã«ã€ããŠèããããå
šéšã§ $9$ 人ããŠããã®ãã¡ $3$ 人ã峿žå®€ã«è¡ã£ããããæå®€ã«æ®ã£ãŠããã®ã¯ $9 - 3 = 6$ 人ã«ãªããã
次ã«2çµã«ã€ããŠèŠãããå
šéšã§ $8$ 人ããŠããã®ãã¡ $4$ 人ã峿žå®€ã«è¡ã£ããããæå®€ã«æ®ã£ãŠããã®ã¯ $8 - 4 = 4$ 人ã ã
ããã§ã1çµã® $6$ 人ãš2çµã® $4$ äººãæ¯ã¹ãŠã¿ããã$6$ ãš $4$ ã§ã¯ããã¡ãã $6$ ã®æ¹ã倧ãããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠãããã
1çµã¯ãæ®ã£ã $6$ 人ã«... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããæå®€ã«æ®ã£ãŠãã人æ°ãã ãšããããšã ãã
åã®èšç®ã§ã¯ã1çµã¯å
šéšã§ $9$ 人ãã峿žå®€ã«è¡ã£ã $3$ 人ãåŒã㊠$9 - 3 = 6$ 人ã
2çµã¯å
šéšã§ $8$ 人ãã峿žå®€ã«è¡ã£ã $4$ 人ãåŒã㊠$8 - 4 = 4$ 人ã«ãªãã
ããã§ $6$ 人㚠$4$ äººãæ¯ã¹ããšã $6 > 4$ ãªã®ã§ã1çµã®æ¹ã人æ°ãå€ãããšãåãããã
確èªããŠãã $6 + 3 = 9$ ã $4 + 4 = 8$ ãšãªããããšã®äººæ°ãšäžèŽããŠããããééãã¯ãªããã
ã ããçã㯠$\boxed{1\text{çµ}}$ ã ãã |
jp-math-l01-351-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããããã¯ãèµ€ãããã4åè²·ããŸããããã¿ããã¯ãéãããã8åè²·ããŸããããã®åŸãããããã¯ããã«èµ€ãããã2åè²·ããŸããã
å
šéšã§ãã©ã¡ãã®äººããããå€ãè²·ã£ããããŸããäœåå€ãããçããªããã | ãŸã泚ç®ãã¹ãç¹ã¯ããããããäºåã«åããŠãããè²·ã£ãŠããããšã ãããã¿ããã¯äžåºŠã«è²·ã£ãŠããããã©ãããããã¯åèšãåºãå¿
èŠããããã
ãããããè²·ã£ãããã®æ°ãèšç®ããŠã¿ãããæåã« $4$ åè²·ã£ãŠããã®ããšããã« $2$ åè²·ã£ããããå
šéšã§
$$4 + 2 = 6$$
åã«ãªããã
次ã«ããã¿ãããè²·ã£ãããã®æ°ã確èªããããå顿ã«ããéãããã¿ãã㯠$8$ åè²·ã£ããã
ããã§èŠãã¹ããªã®ã¯ãããããã® $6$ åãšããã¿ããã® $8$ åãã©ã¡ããå€ãããšããããšã ã
$6$ ãš $8$ ãæ¯ã¹ããšãåœç¶ $8$ ã®ã»ãã倧ãããããã ããããããå€ãè²·ã£ãã®ã¯ãã¿ããã ã
æåŸã«ãäœåå€ãããšããå·®ãæ±ã... | ãŸã泚ç®ãã¹ãç¹ã¯ããããããåèšã§äœåãããè²·ã£ããã ãããããã㯠$4$ åã®ããšã« $2$ åè²·ã£ããããå
šéšã§ $4 + 2 = 6$ åã«ãªãã
äžæ¹ã§ããã¿ãã㯠$8$ åè²·ã£ãããšãåãã£ãŠããããããã§ $6$ åãš $8$ åãæ¯ã¹ããšããã¿ããã®ã»ããå€ãè²·ã£ãããšã«ãªããã
ã§ã¯ãäœåå€ããã確èªããããåã®èšç®ã§ã¯ããã¿ããã® $8$ åããããããã® $6$ åãåŒããŠ
$$8 - 6 = 2$$
ãšãªãããã差㯠$2$ åã ãã
確èªãããšãããããã® $6$ åã« $2$ åãè¶³ãã°ããããã«ãã¿ããã® $8$ åã«ãªããã ããçãã¯ããã¿ããã®ã»ãã $2$ åå€ãã§åã£ãŠãããã
çã... |
jp-math-l01-716-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 8cmã®ããŒãããããŸãããããã3cmãåããŸãããã®ããã®ããŒãã¯äœcmã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšã®ããŒããã©ããããã®é·ãã ã£ããã ããå顿ãèŠããšãã¯ãã㯠$8\text{ cm}$ ãã£ãããšãåãããã
ãããã $3\text{ cm}$ ãåã£ããšããããšã ãããã®ããã®é·ããæ±ããã«ã¯ãå
šäœã®é·ãããåã£ãåãåŒãã°ãããåã¯ããããåçŽãªåŒãç®ã®åé¡ãšããŠèãããã
èšç®ããŠã¿ããã
$$8 - 3 = 5$$
ããã§çã㯠$5\text{ cm}$ ã«ãªããã
念ã®ãããåã®ããæ¹ãæ£ããã確èªããŠããããã®ããã® $5\text{ cm}$ ã«ãåã£ã $3\text{ cm}$ ãè¶³ããŠãããšã® $8\text{ cm}$ ã«æ»ããã©ãããèŠããã ã
$$5 + 3... | ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšã®ããŒãã®é·ãã $8\text{ cm}$ ã§ããããã $3\text{ cm}$ ãåã£ããšããããšã ããèãããŠããã®ã¯ãã®ããã®é·ããã ãããåã¯ãããå
šäœã®é·ãããåã£ãåãåŒãèšç®ã§èãããã
åŒã«ãããš $8 - 3 = 5$ ãšãªããããã®ããã®ããŒã㯠$5\text{ cm}$ ã«ãªããã
åã®ç¢ºèªã§ã¯ãã®ããã® $5\text{ cm}$ ã«åã£ã $3\text{ cm}$ ãè¶³ããš $5 + 3 = 8$ ã«ãªããããšã®é·ãã«ãŽã£ããåããã ãããçã㯠$5\text{ cm}$ ã§åã£ãŠãããã
çã: $\boxed{5\text{ cm}}$ |
jp-math-l01-752-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | å
çãã·ãŒã«ã 7 ææã£ãŠããŸããããã®ãã¡ 2 æãçåŸã«ãããŸãããå
çã®æå
ã«æ®ã£ãã·ãŒã«ã¯ãçåŸãããã£ãã·ãŒã«ãããäœæå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããåã«ãå
çãäœææã£ãŠããããã§ã¯ãªãããçåŸãããã£ãæ°ããäœæå€ããããšããå·®ãæ±ããåé¡ã ãã
ãŸãã¯ãå
çã®æå
ã«äœææ®ã£ããã確èªãããã
ã¯ããã« $7$ æãã£ãŠããã®ãã¡ $2$ æãããããã ãããåŒãç®ã«ãªããã
$$7 - 2 = 5$$
ããã§ãå
çã®æå
ã«ã¯ $5$ ææ®ã£ãããšãåãã£ããã
次ã«ãçåŸãããã£ãææ°ãšæ¯èŒããŠã¿ããã
çåŸãããã£ãã®ã¯ $2$ æã ãã
å
çã® $5$ æãšãçåŸã® $2$ æãã©ã¡ããå€ããã¯äžç®çç¶ã ãã
ãã®å·®ãèšç®ãããšã
$$5 - 2 = 3$$
ã«ãªãã
ããã§äžåºŠãåã®èšç®ãæ£ããã確èªããŠãããã
çåŸã® ... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããå
çã®æå
ã«æ®ã£ãæ°ãã§ã¯ãªãããçåŸãããã£ãæ°ãšã®å·®ãã ãšããããšã ãã
åã®èšç®ã§ã¯ããŸãå
çã®æå
ã«æ®ã£ãææ°ãåºãããã¯ããã® $7$ æãã $2$ æããããããã
$$7 - 2 = 5$$
ãšãªããå
ç㯠$5$ ææã£ãŠããããšã«ãªããã
ããã§èŠãã¹ããªã®ã¯ãå
çã® $5$ æãšçåŸãããã£ã $2$ æã®å·®ã ã
$$5 - 2 = 3$$
ãšãªããããå
çã®æ¹ã $3$ æå€ãããšã«ãªããã
確èªãããšãçåŸã® $2$ æã«å·®ã® $3$ æãè¶³ãã°å
çã® $5$ æã«ãªããããã«ããã«çåŸã® $2$ æãåãããã°å
šäœã® $7$ æã«æ»ããæ¡ä»¶ã«ãŽã£ããåã£ãŠããã... |
jp-math-l01-1530-wrong | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | 9人ãã¿ããã奜ããªäººã9人ã ããã | ããã¯ã©ã¹ã§å¥œããªæç©ã調ã¹ããšããããããã 4 人ã§ãã¿ããã 9 人ã§ãããã¿ããã奜ããªäººã¯ããããã奜ããªäººããäœäººå€ãã§ããã | ãããããã ãšéãããã ã£ãŠããã®çãã¯ãã ãã¿ããã奜ããªäººã®æ°ããçããã ããããªããã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããåé¡ã¯ãã¿ããã奜ããªäººã¯ããããã奜ããªäººããäœäººå€ããããšèããŠãããã€ãŸããã¿ããã®äººæ°ãšããããã®äººæ°ã®ãå·®ããæ±ããå¿
èŠããããã ãã
ããã§æ¡ä»¶ã確èªãããã
ã¿ããã奜ããªäººã¯ $9$ 人ã
ãããã奜ããªäººã¯ $4$ 人ã
åã¯ããããåŒãç®ã®åé¡ãšããŠèŠããã
$9$ ãã $4$ ãåŒãã°ãã©ãã ãå€ãããåããã¯ãã ãã
èšç®ããŠã¿ããã
$$9 - 4 = 5$$
ããã§ãã¿ããã奜ããªäººã¯ããããã $5$ 人å€ãããšãåãã£ããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãã¿ããã奜ããªäººãããããã奜ããªäººããäœäººå€ããããšããå·®ãæ±ããå¿
èŠããããã
ã¿ããã奜ããªäººã¯ $9$ 人ã§ããããã奜ããªäººã¯ $4$ 人ãåã®ç¢ºèªã§ã¯ããã®äºã€ã®æ°ã®å·®ãèšç®ããã°ãããããåŒã¯ $9 - 4 = 5$ ã«ãªããã
確èªãããšããããã® $4$ 人ã«ãã® $5$ 人ãè¶³ãã°ããããã«ã¿ããã® $9$ 人ã«ãªããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$5$ 人ã ãã
$\boxed{5\text{人}}$ |
jp-math-l01-1758-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãããããã®æ¹ãå€ããŠã4ç¹å€ããšæããã§ããã©âŠâŠåã£ãŠããŸããïŒ | ã²ãŒã ã§ããããããã¯3ç¹ããããããã¯7ç¹ãåããŸãããã©ã¡ãã®äººããäœç¹å€ãç¹ãåããŸãããã | ãµãµããæ£è§£ã ããèªä¿¡ãæã£ãŠãããšæããã
ã©ãããŠãã®çãã«ãªãã®ããåãšäžç·ã«æ¡ä»¶ãæŽçããŠç¢ºèªããŠã¿ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããããããšãããããã®ç¹æ°ãæ¯ã¹ãããšã ãã
ããããã㯠$3$ ç¹ãããããã㯠$7$ ç¹ã
æ°ãäžãã§èããŠãã$3$ ãã $7$ ã®æ¹ã倧ãããããç¹æ°ãå€ãã®ã¯ãããããã§ééããªããã
次ã«ãã©ããããå€ãããã€ãŸããå·®ããèšç®ããŠã¿ããã
倧ããæ¹ã® $7$ ç¹ãããå°ããæ¹ã® $3$ ç¹ãåŒãã°ããã
$$7 - 3 = 4$$
èšç®ãããšãã¡ãããš $4$ ç¹ã«ãªããã
æåŸã«ããã®çããæ¬åœã«æ£ãããæ€ç®ããŠã¿ãããã
ãããããã® $3$ ç¹ã«ã差㮠$4$ ç¹ã... | åã®ç¢ºèªã§ããåã®çãã§åã£ãŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ããããããã® $3$ ç¹ãšãããããã® $7$ ç¹ã®ã©ã¡ãã倧ãããã ãã$7$ ã®æ¹ã倧ãããããç¹æ°ãå€ãã®ã¯ãããããã ã
ãããŠããã®å·®ãæ±ããããã« $7 - 3 = 4$ ãšèšç®ãããšããããããã®æ¹ã $4$ ç¹å€ãããšãåãããã
念ã®ããæ€ç®ããŠã¿ããšã$3 + 4 = 7$ ã«ãªãããããããã«ãããããã®ç¹æ°ãšäžèŽãããã
ã ããçãã¯ããããããã $4$ ç¹å€ããã§ééããªããã
çã: ãããããã $4$ ç¹å€ã | |
jp-math-l01-075-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éãã㯠4ã¡ãŒãã« æ©ããŸãããè±åãã㯠7ã¡ãŒãã« æ©ããŸãããè±åãã㯠倪éãããã äœã¡ãŒãã« å€ãæ©ããŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãã倪éããã $4$ ã¡ãŒãã«ãè±åããã $7$ ã¡ãŒãã«æ©ãããšããè±åããããã©ãã ãå€ãæ©ãããããšããå·®ãæ±ããåé¡ã ãã
ããã§èŠãã¹ããªã®ã¯ãäºäººã®æ©ããè·é¢ã®æ¯ã¹ã£ãã ããè±åããã® $7$ ã¡ãŒãã«ããã倪éããã® $4$ ã¡ãŒãã«ãåŒãã°ããã®å·®ãã¯ã£ããããã¯ããã
èšç®ããŠã¿ããã
$$7 - 4 = 3$$
ããã§ $3$ ã¡ãŒãã«ãšããçµæãåºããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿ããã倪éããã® $4$ ã¡ãŒãã«ã«ãä»åºãã差㮠$3$ ã¡ãŒãã«ãè¶³ããŠãè±åããã® $7$ ã¡ãŒãã«ã«æ»ãã確èªãããã ã
$$4 + 3 = 7$$
ãããã«ãŽã£ããåããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯è±åããã倪éãããããäœã¡ãŒãã«å€ãæ©ãããããšããå·®ãæ±ãããããè±åããã® $7$ ã¡ãŒãã«ãã倪éããã® $4$ ã¡ãŒãã«ãåŒããŠèãããã
èšç®ãããšã
$$7 - 4 = 3$$
ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $3$ ã¡ãŒãã«ã«å€ªéããã® $4$ ã¡ãŒãã«ãè¶³ããš $4 + 3 = 7$ ã¡ãŒãã«ã«ãªããã¡ãããšè±åããã®è·é¢ãšäžèŽãããã ããçã㯠$3$ ã¡ãŒãã«ã§åã£ãŠãããã
çã: $\boxed{3\text{ã¡ãŒãã«}}$ |
jp-math-l01-1663-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çãã¯3åã ãšæããŸãã5ãã2ãåŒããš3ã«ãªãããã§ããã§ããæ¬åœã«ããã§åã£ãŠãããèªä¿¡ããªããŠâŠâŠã | 峿žé€šã§æ¬ãèªã¿ãŸããããããããã¯5åèªã¿ãŸãããã¯ãªã¡ããã¯2åèªã¿ãŸãããã¯ãªã¡ãããããããããšåãæ°ã ãæ¬ãèªãã«ã¯ãããšäœåèªãã°ããã§ããã | ãµãµããèªä¿¡ããªãã¿ããã ããã§ã倧äžå€«ãåã®èãæ¹ã¯æ£è§£ã ããåããã£ãã確èªããŠããããããäžç·ã«èŠãŠã¿ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããããããšã¯ãªã¡ããã®èªãã æ¬ã®æ°ã ãã
ããããã㯠$5$ åãã¯ãªã¡ãã㯠$2$ åã
ããã§èŠãã¹ããªã®ã¯ããåãæ°ã«ããã«ã¯ããšäœåå¿
èŠãããšããããšãã€ãŸãããããããã®æ°ãšã¯ãªã¡ããã®æ°ã®ãå·®ããæ±ããã°ãããã ãã
èšç®ããŠã¿ããšã
$$5 - 2 = 3$$
ãšãªããã
ããã§ãåã®ããæ¹ã§æ€ç®ããŠã¿ããã
ã¯ãªã¡ãããä»èªãã§ãã $2$ åã«ãããš $3$ åè¶³ãããšããããããããšåã $5$ åã«ãªããã確èªãããã ã
$$2 + 3 = 5$$
èŠãŠãããããŽ... | ãŸã泚ç®ãã¹ãç¹ã¯ããããããã $5$ åãã¯ãªã¡ããã $2$ åèªãã§ãããšããæ¡ä»¶ã ãã
ã¯ãªã¡ãããããããããšåãæ°ã«ãªãããã«å¿
èŠãªæ¬ã¯ããã®äºäººã®å·®ãèšç®ããã°ããã
åã®èšç®ã§ã¯ã $5 - 2 = 3$ åã«ãªããã
ããã§ç¢ºèªããŠããããã¯ãªã¡ããã® $2$ åã«ãæ±ãã $3$ åãè¶³ããš $2 + 3 = 5$ åã«ãªãããããããã®æ°ãšãŽã£ããåãã«ãªããã
æ¡ä»¶ã«ãã£ããåã£ãŠãããããçã㯠$3$ åã§ééããªããã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-657-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | çç§ã®èгå¯ã§ã2ã€ã®æ€æšé¢ã«ããèœã®æ°ã調ã¹ãŸãããAã®æ€æšé¢ã«ã¯èœã7ã€ãããBã®æ€æšé¢ã«ã¯èœã3ã€ãããŸãããã©ã¡ãã®æ€æšé¢ã®èœãå€ããŠãäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®æ€æšé¢ã«ããèœã®æ°ã ãã
Aã®æ€æšé¢ã«ã¯ $7$ ã€ãBã®æ€æšé¢ã«ã¯ $3$ ã€ããã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ããå€ãããšããæ¯èŒã ãã
$7$ ãš $3$ ãæ¯ã¹ããšã $7$ ã®æ¹ã倧ãããããèœãå€ãã®ã¯Aã®æ€æšé¢ã§ééããªããã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãæ±ãããã
åã¯ããããåŒãç®ã§èãããã
$$7 - 3 = 4$$
èšç®ãããš $4$ ã«ãªããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
Bã® $3$ ã€ã«ã差㮠$4$ ã€ãè¶³ããŠã¿ããšã
$$3 + 4 = 7$$
ã¡ãããšAã®æ°ãšäžèŽãããã
ãšããããã§ãåã®åºããçãã¯ããã ã
çã: Aã®æ€æšé¢ã®æ¹ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãAã®æ€æšé¢ã® $7$ ã€ãšãBã®æ€æšé¢ã® $3$ ã€ãšããæ°ã ãã
ãã®2ã€ãæ¯ã¹ããš $7$ ã®æ¹ã倧ãããããèœãå€ãã®ã¯Aã®æ€æšé¢ã«ãªãã
ãããŠãã©ããããå€ããã確èªããããã«ãåã¯ãã®å·®ãèšç®ãããã
$$7 - 3 = 4$$
èšç®ã®çµæã差㯠$4$ åã ãã
åã®ç¢ºèªã§ã¯ãBã® $3$ åã«ãã® $4$ åãè¶³ããš $3 + 4 = 7$ ã«ãªãããããã«Aã®æ°ãšäžèŽããã
ã ããçãã¯ãAã®æ€æšé¢ã®æ¹ã $4$ åå€ããã§åã£ãŠãããã
çã: Aã®æ€æšé¢ã®æ¹ã 4 åå€ã |
jp-math-l01-1871-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ã·ãŒã«ã9åã§ãããŸ6åæã£ãŠããããšã¯åãã£ããã©ããããšäœåããã°ããããã£ãŠããã®ãã©ããã£ãŠèããã°ããã®ãåãããªããã | ã·ãŒã«ã1ãŸãè²·ããããšæã£ãŠããŸããã·ãŒã«ã®å€æ®µã¯9åã§ããããŸã6åæã£ãŠããŸããããšäœåããã°ãã·ãŒã«ãè²·ãããšãã§ããŸããã | ãªãã»ã©ãã©ãèããã°ãããè¿·ã£ãŠãããã ãã倧äžå€«ãåãåãããããå°ããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããŸæã£ãŠãããéãšãå¿
èŠãªéé¡ã®ãå·®ããèŠã€ããããšã ãã
ããŸæã£ãŠããã®ã¯ $6$ åãã§ããæ¬²ããã·ãŒã«ã¯ $9$ åã
ã€ãŸãã$6$ ããã $9$ ã®ã»ãã倧ãããšããããšã«ãªããã
ããã§ãæ°ãäžãã䜿ã£ãŠèããŠã¿ããã
$6$ åæã£ãŠããç¶æ
ãããããšããã€æ°ããã° $9$ ã«å±ãããªïŒ
$6$ ã®æ¬¡ããæ°ãããšã $7, 8, 9$ ãšã $3$ åæ°ããããšã«ãªããã
ãããèšç®åŒã§è¡šããšãå
šäœã® $9$ åãããããŸæã£ãŠãã $6$ åãåŒãã°ããããšã«ãªããã
$$9 - 6 = 3$$
... | ãŸã泚ç®ãã¹ãç¹ã¯ãããŸæã£ãŠãã $6$ åãšãã·ãŒã«ã®å€æ®µã§ãã $9$ åã®å·®ãæ±ããããšã ãã
åã¯ããããå
šäœã® $9$ åããæã£ãŠãã $6$ åãåŒãèšç®ã ãšèŠããã
$$9 - 6 = 3$$
åã®ç¢ºèªã§ã¯ããã® $3$ åãšããæ°åã«ééãã¯ãªããã
ãããã«ãããŸã® $6$ åã« $3$ åãè¶³ãã° $6 + 3 = 9$ åã«ãªããã·ãŒã«ã®å€æ®µã«ãŽã£ããåããããã
ã ããçã㯠$3$ åã ãã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-1989-bridge | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | é»è²ãããŒã«ã®æ¹ãæ°ãå€ãã®ã¯ããããã©ããäœãå€ããããã©ããã£ãŠèšç®ããã°ããã®ãåãããªããã | éãããŒã«ã4ããé»è²ãããŒã«ã7ããããŸããã©ã¡ãã®è²ã®ããŒã«ãäœãå€ãã§ããã | ãŸãã¯ãã©ã¡ããå€ããåãã£ãŠããã®ã¯ããããšã ãããããæ°ãèŠæ¯ã¹ããš $7$ ã®ã»ãã $4$ ããã倧ãããããé»è²ãããŒã«ã®æ¹ãå€ããããã¯æ£è§£ã ãã
ã§ã¯ããããããäœãå€ããããšããèãæ¹ã«æ©æž¡ããããŠã¿ããã
ãäœãå€ããããšããã®ã¯ãå°ãªãæ¹ã®æ°ãããå€ãæ¹ã®æ°ãŸã§ãããšããã€ããã°è¿œãã€ããããšããå·®ã®ããšãªãã ã
äŸãã°ãéãããŒã« $4$ ãã«ãããšããã€è¶³ãã°é»è²ãããŒã«ã® $7$ ããšåãã«ãªãããäžç·ã«æ°ããŠãããã
$4$ ã®æ¬¡ããæ°ãããšã $5, 6, 7$ ãšã $3$ åæ°ããããšã«ãªããã
ãããèšç®åŒã§è¡šããšãå€ãæ¹ã®æ°ããå°ãªãæ¹ã®æ°ãåŒãããšã«ãªããã
$$7 - 4 = 3$$
... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®æ°ãå€ããã ããéãããŒã«ã¯ $4$ ããé»è²ãããŒã«ã¯ $7$ ãã ããã $7 > 4$ ãšãªããé»è²ãããŒã«ã®æ¹ãå€ãããšãåãããã
次ã«ãã©ããããå€ãããšãããå·®ããæ±ããããã«ãå€ãæ¹ã®æ°ããå°ãªãæ¹ã®æ°ãåŒããŠã¿ããã
$$7 - 4 = 3$$
åã®ç¢ºèªã§ã¯ããã® $3$ ãšããæ°åããéãããŒã«ã«è¶³ããªãåãã€ãŸãé»è²ãããŒã«ãã©ãã ãå€ããã瀺ããŠãããã
ãããã«ã $4 + 3 = 7$ ã«ãªããããèšç®ã¯ééã£ãŠããªããã
ã ããçãã¯ãé»è²ãããŒã«ã $3$ ãå€ããã§åã£ãŠãããã
çã: $\boxed{é»è²ãããŒã«ã 3 ãå€ã}$ |
jp-math-l01-1311-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãåºã§ãããã 3åããã§ã³ã 8åã§å£²ã£ãŠããŸãã
ãã§ã³ã¯ãããããäœåé«ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ããã§ã³ãããããäœåé«ããããšããã倿®µã®å·®ãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããã
ããã®å€æ®µã¯ $3$ åã
ãã§ã³ã®å€æ®µã¯ $8$ åã
ãã§ã³ã®æ¹ã倿®µãé«ãããšã¯ã $8$ ãš $3$ ãæ¯ã¹ãã°ããã«åãããã
åã¯ããããåŒãç®ã®åé¡ãšããŠèãããã
é«ãæ¹ã®å€æ®µããå®ãæ¹ã®å€æ®µãåŒãã°ããã®å·®ãåºããããã
åŒã«ãããšã
$$8 - 3 = 5$$
ã«ãªãã
ããã§äžåºŠãèšç®ãåã£ãŠããã確èªããŠããããã
ãããã§ã³ããããã $5$ åé«ããªããããã® $3$ åã« $5$ åãè¶³ãããšããã¡ãããšãã§ã³ã® $8$ åã«ãªãã¯ãã ãã
$$3 + 5 = ... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãã倿®µã®å·®ãã ãšããããšã ãã
ãã§ã³ã¯ $8$ åããã㯠$3$ åã ãããåã®èŠæ¹ã§ã¯ãé«ãæ¹ã® $8$ åããå®ãæ¹ã® $3$ åãåŒãã°ãããšèãããã
èšç®ãããšã
$$8 - 3 = 5$$
ã«ãªããã
åã®ç¢ºèªã§ã¯ãããã® $3$ åã«ãã®å·®ã® $5$ åãè¶³ããš $3 + 5 = 8$ åã«ãªããã¡ãããšãã§ã³ã®å€æ®µãšäžèŽãããã ãããããã§ééããªããã
çã: $\boxed{5\text{å}}$ |
jp-math-l01-723-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éããã¯æ¬ã2åèªã¿ãŸãããè±åããã¯æ¬ã5åèªã¿ãŸãããã©ã¡ãã®äººããäœåå€ãæ¬ãèªãã ãçããªããã | ãŸã泚ç®ãã¹ãç¹ã¯ã倪éãããšè±åãããããããäœåã®æ¬ãèªãã ããšããæ°ã ãã
倪éãã㯠$2$ åãè±åãã㯠$5$ åã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ãã®æ°ã®æ¹ã倧ããããšããããšãã
$2$ ãš $5$ ãæ¯ã¹ããšãåœç¶ $5$ ã®æ¹ã倧ããããã
ã ãããå€ãæ¬ãèªãã ã®ã¯è±åããã§ééããªããã
次ã«ãã©ããããå€ãèªãã ããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
å€ãæ¹ã® $5$ åãããå°ãªãæ¹ã® $2$ åãåŒãã°ããã
$$5 - 2 = 3$$
èšç®ãããšã差㯠$3$ åã«ãªããã
æåŸã«ããã®çµæãæ£ããã確èªããŠããããã
å°ãªãæ¹ã® $2$ åã«ãä»åºãã差㮠$3$ åãè¶³ããŠãå€ãæ¹ã® $5$ åã«... | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®èªãã åæ°ã®éãã ãã倪éãã㯠$2$ åã§ãè±åãã㯠$5$ åã$5$ ã®æ¹ã $2$ ãã倧ãããããå€ãèªãã ã®ã¯è±åããã ãšåãããã
ããã§ãã©ãã ãå€ãèªãã ããæ±ããããã«åŒãç®ãããŠã¿ããã
$$5 - 2 = 3$$
åã®ç¢ºèªã§ã¯ã差㯠$3$ åã«ãªããããããã« $2$ åã« $3$ åãè¶³ãã° $5$ åã«ãªããããèšç®ã¯ãŽã£ããåã£ãŠãããã
ã ããçãã¯ãè±åããã $3$ åå€ãèªãã ãã§ééããªããã
çã: $\boxed{è±åããã 3 åå€ãèªãã }$ | |
jp-math-l01-1390-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã·ãŒã«ããã€ããŠãã衚ããããŸãã
ã¯ãªããã¯ãæã®ã·ãŒã«ã2ãŸããããŒãã®ã·ãŒã«ã3ãŸããããŸãã
ãããããã¯ãæã®ã·ãŒã«ã4ãŸããããŒãã®ã·ãŒã«ã2ãŸããããŸãã
å
šéšã§5ãŸãã®ã·ãŒã«ãæã£ãŠããã®ã¯ãã ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããå
šéšã§ $5$ ãŸããæã£ãŠããã®ã誰ããæ¢ãã°ããã
ãŸãã¯ãã¯ãªããã®ã·ãŒã«ãæ°ããŠã¿ããã
æã®ã·ãŒã«ã $2$ ãŸãã§ãããŒãã®ã·ãŒã«ã $3$ ãŸããããããå
šéšã§
$$2 + 3 = 5$$
ãŸãã«ãªããã
次ã«ããããããã®ã·ãŒã«ãæ°ããŠã¿ããã
æã®ã·ãŒã«ã $4$ ãŸãã§ãããŒãã®ã·ãŒã«ã $2$ ãŸããããããå
šéšã§
$$4 + 2 = 6$$
ãŸãã ãã
ããã§æ¡ä»¶ã確èªããããåãã¡ãæ¢ããŠããã®ã¯ãå
šéšã§ $5$ ãŸããæã£ãŠãã人ã ã
ã¯ãªãã㯠$5$ ãŸãã§ãããããã㯠$6$ ãŸãã
$5$ ãš $6$ ãæ¯ã¹ããšãæ¡ä»¶ã«ãŽã£ããåãã®ã¯ã¯ãªããã®æ¹... | ãŸã泚ç®ãã¹ãç¹ã¯ãå
šéšã§ $5$ ãŸãã®ã·ãŒã«ãæã£ãŠããäººãæ¢ãããšã ãã
åã®èšç®ã§ã¯ãã¯ãªããã¯æã®ã·ãŒã« $2$ ãŸããšããŒãã®ã·ãŒã« $3$ ãŸããæã£ãŠããŠãå
šéšã§ $2 + 3 = 5$ ãŸãã«ãªãã
äžæ¹ã§ããããããã¯æã®ã·ãŒã« $4$ ãŸããšããŒãã®ã·ãŒã« $2$ ãŸããæã£ãŠããŠãå
šéšã§ $4 + 2 = 6$ ãŸãã ãã
ããã§æ¡ä»¶ã確èªãããšãå
šéšã§ $5$ ãŸãæã£ãŠããã®ã¯ã¯ãªããã ãã§ããããããã® $6$ ãŸããšã¯éãããšãåãããã
ã ãããçãã¯ã¯ãªããã§ééããªããã
çã: ã¯ãªãã |
jp-math-l01-1730-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çã㯠5 ã€ã ãšæããŸãã$7 - 2 = 5$ ã ããã ãšæããŸããã©ãããã§åã£ãŠããã§ããããâŠâŠã | ãã衚ã«ãèµ€ãæã 7 ã€ãéãæã 2 ã€ããããŠããŸãã
èµ€ãæã¯ãéãæãããããã€å€ãã§ããã | ãµãµããèªä¿¡ãªãããã«ããŠãããã©ãæ£è§£ã ããåã®èãæ¹ã¯å®ç§ã ãã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããèµ€ãæã¯ãéãæãããããã€å€ããããšããããšã ãããããã¯åèšã§ã¯ãªãã2ã€ã®æ°ã®ãå·®ããæ±ããåé¡ã ãšèŠãã°ããã
æ¡ä»¶ã確èªãããã
èµ€ãæã¯ $7$ ã€ã
éãæã¯ $2$ ã€ã
ããã§ãèµ€ãæã®æ°ããéãæã®æ°ãåŒããŠããã®å·®ãèšç®ããŠã¿ããã
$$7 - 2 = 5$$
èšç®çµæã¯ $5$ ã«ãªã£ããã
念ã®ãããåã®æ¹ã§ãæ€ç®ããŠç¢ºãããŠããããã
éãæã® $2$ ã€ã«ãä»åºãã差㮠$5$ ã€ãè¶³ããŠãã¡ãããšèµ€ãæã®æ°ã«æ»ããèŠãŠã¿ããã
$$2 + 5 = 7$$
ãããã« $7$ ã«ãªã£ãã... | åã®ç¢ºèªã§ããåã®çãã§åã£ãŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããããã€å€ããããšããå·®ã§ããããšã ããèµ€ãæã $7$ ã€ãéãæã $2$ ã€ã ããããã®å·®ãæ±ããããã« $7 - 2 = 5$ ãšèšç®ããã°ããã
ããã§ãéãæã® $2$ ã€ã«å·®ã® $5$ ã€ãè¶³ã㊠$2 + 5 = 7$ ã«ãªãããšã確èªãããšããããã«èµ€ãæã®æ°ãšäžèŽããããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$5$ ã€ã ãã |
jp-math-l01-894-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããã®äžã«ãããŸããã 2åããããããã 5å å
¥ã£ãŠããŸããã©ã¡ããäœå å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããã«å
¥ã£ãŠããããããã®æ°ã ãã
ããŸããã $2$ åã§ããããããã $5$ åã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ããå€ãããšããããšãã
$2$ ãš $5$ ãæ¯ã¹ããšãåœç¶ $5$ ã®ã»ãã倧ããããã
ã ãããå€ãã®ã¯ãããããããã®æ¹ã ã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
å€ãæ¹ã®æ°ããå°ãªãæ¹ã®æ°ãåŒãã°ãããããåŒã¯ãããªããã
$$5 - 2 = 3$$
èšç®çµæã¯ $3$ ã«ãªã£ãã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿ããã
å°ãªãæ¹ã®ããŸãã $2$ åã«ãä»åºãã差㮠$3$ åãè¶³ããŠããããããã®æ°ã«ãªãã確èªãããã ã
$$2 + 3 = 5$$
ãããã«ãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããŸããã $2$ åããããããã $5$ åãšããæ°ã ãã
åã®èŠæ¹ã§ã¯ããŸã $2$ ãš $5$ ãæ¯èŒããŠãã©ã¡ããå€ããã確èªããã®ãæ£è§£ãã$5$ ã®ã»ãã倧ãããããå€ãã®ã¯ãããããã®æ¹ã ãã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ãããã€ããããšããããšã
ãããããã® $5$ åããããŸããã® $2$ åãåŒããŠã
$$5 - 2 = 3$$
ãšãªãããã差㯠$3$ åã ãã
åã®ç¢ºèªã§ã¯ãå°ãªãæ¹ã® $2$ åã« $3$ åãè¶³ããš $2 + 3 = 5$ ã«ãªãããããããã®æ°ãšãŽã£ããåããã ãããããã§ééããªããã
çã: ãããããã $3$ åå€ã |
jp-math-l01-019-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã·ãŒã«ã 䞊ã¹ãŠããŸãã1ã€ãã®ã°ã«ãŒãã« 2 æãããŸãã2ã€ãã®ã°ã«ãŒãã«ã¯ã1ã€ãã®ã°ã«ãŒããšåãæ°ã ããããŸããããš 3 æãããŸããã·ãŒã«ã¯ å
šéšã§ äœæãããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãã·ãŒã«ãã©ãåãããŠããããšããæ¡ä»¶ã ãã
1ã€ãã®ã°ã«ãŒãã«ã¯ $2$ æãããããã¯ã·ã³ãã«ã ãã
次ã«ã2ã€ãã®ã°ã«ãŒãã«ã€ããŠèŠããã
ã1ã€ãã®ã°ã«ãŒããšåãæ°ã ãããããšæžããŠãããããããã $2$ æãšããããšã«ãªããã
ãããŠãããã«ãããš $3$ æããããšããæ¡ä»¶ãããã
ã€ãŸããå
šéšã®ææ°ãåºãã«ã¯ãããããå
šéšåãããã°ãããã ã
èšç®ããŠã¿ããã
ãŸãã1ã€ããš2ã€ãã®ã°ã«ãŒããåããããš $2 + 2 = 4$ æã ãã
ããã«ãæ®ãã® $3$ æãè¶³ããš $4 + 3 = 7$ æã«ãªãã
åã®ç¢ºèªã§ã¯ãèšç®ã®éäžã§ $10$ ãè¶
ããããšã¯ãªãããæ¡ä»¶ããã¹ãŠäœ¿ãåã£ãŠã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ã°ã«ãŒãã«äœæãããã ãã
1ã€ãã®ã°ã«ãŒã㯠$2$ æã§ã2ã€ãã®ã°ã«ãŒããåãæ°ã ãã $2$ æãããã«ããš $3$ æãããšããããšã ãã
åã®èšç®ã§ã¯ããŸãã°ã«ãŒãã®åãåãã㊠$2 + 2 = 4$ æãããã«æ®ãã® $3$ æãè¶³ã㊠$4 + 3 = 7$ æã«ãªããã
確èªãããšã $2 + 2 + 3 = 7$ ãšãªããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$7$ æã ãã
$\boxed{7\text{æ}}$ |
jp-math-l01-555-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èµ€ãè»ã¯ 8ã»ã³ã é²ã¿ãŸããã
éãè»ã¯ 5ã»ã³ã é²ã¿ãŸããã
èµ€ãè»ã¯ éãè»ãã äœã»ã³ã å€ã é²ã¿ãŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãã©ã¡ããã©ãã ãå€ãé²ãã ãããšããå·®ãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããã
èµ€ãè»ã¯ $8$ ã»ã³ãã
éãè»ã¯ $5$ ã»ã³ãã
åã¯ããããåŒãç®ã®åé¡ãšããŠèãããã
èµ€ãè»ã®é²ãã è·é¢ãããéãè»ã®é²ãã è·é¢ãåŒãã°ããã®å·®ãåºãã¯ãã ãã
èšç®ããŠã¿ããã
$$8 - 5 = 3$$
ããã§äžåºŠã確èªããŠããããã
ããå·®ã $3$ ã»ã³ããªããéãè»ã® $5$ ã»ã³ãã« $3$ ã»ã³ããè¶³ããšãèµ€ãè»ã® $8$ ã»ã³ãã«ãªãã¯ãã ãã
$$5 + 3 = 8$$
ãããã«èšç®ã¯åã£ãŠããã
ãšããããã§ãåã®çãã¯ãããªããã
çã: $3$ ã»ã³ã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯èµ€ãè»ãéãè»ãããäœã»ã³ãå€ãé²ãã ãããšããå·®ãæ±ãããã
åã®ç¢ºèªã§ã¯ãèµ€ãè»ã¯ $8$ ã»ã³ããéãè»ã¯ $5$ ã»ã³ãé²ãã§ããããããã®å·®ãæ±ããããã«åŒãç®ã䜿ãã®ãæ£è§£ã ãã
$$8 - 5 = 3$$
èšç®ãããš $3$ ã»ã³ãã«ãªãã
ããã§ãéãè»ã® $5$ ã»ã³ãã«ãã® $3$ ã»ã³ããè¶³ããŠãèµ€ãè»ã® $8$ ã»ã³ãã«æ»ããæ€ç®ããŠã¿ããã
$$5 + 3 = 8$$
ãŽã£ããåãããã ããçã㯠$3$ ã»ã³ãã§ééããªããã
çã: $\boxed{3\text{ ã»ã³ã}}$ |
jp-math-l01-1318-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã²ãŒã ã§ãèµ€ããŒã 㯠6ç¹ ãšããŸãããéããŒã 㯠2ç¹ ã§ããéããŒã ã èµ€ããŒã ãš åãç¹æ°ã« ãªãã«ã¯ãããš äœç¹ ãšãã° ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãä»ã®ç¹æ°ã®éãã ããèµ€ããŒã 㯠$6$ ç¹ã§ãéããŒã 㯠$2$ ç¹ãã©ã¡ããå€ããã¯äžç®ã§åããããã
ããã§èŠãã¹ããªã®ã¯ããåãç¹æ°ã«ãªãã«ã¯ããšäœç¹å¿
èŠãããšããããšãã€ãŸããèµ€ããŒã ã® $6$ ç¹ã«è¿œãã€ãããã«ãéããŒã ã«è¶³ããªãåãæ±ããåé¡ã ããåã¯ããããåŒãç®ã§å·®ãæ±ããåé¡ãšããŠèãããã
èšç®ããŠã¿ããã
$$6 - 2 = 4$$
ããã§ã差㯠$4$ ç¹ã ãšããããšãåãã£ããã
æåŸã«ããã®çããæ¬åœã«æ£ããã確èªããŠãããã
ä»ã®éããŒã ã® $2$ ç¹ã«ãããš $4$ ç¹ãšãã°ã
$$2 + 4 = 6$$
ãšãªããã¡ãããšèµ€ããŒã ãšåã $6$ ç¹ã«ãªãã
åã®ç¢ºèªã§ã¯ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèµ€ããŒã ã® $6$ ç¹ãšéããŒã ã® $2$ ç¹ãšãããä»ã®ç¹æ°ã®å·®ã ããéããŒã ãèµ€ããŒã ãšåãç¹æ°ã«ãªãã«ã¯ããã®å·®ã®åã ãç¹æ°ããšãã°ããã
åã¯ããããåŒãç®ã䜿ã£ãŠ $6 - 2 = 4$ ç¹ãšèšç®ãããã
åã®ç¢ºèªã§ã¯ãä»ã®éããŒã ã® $2$ ç¹ã«ãã® $4$ ç¹ãè¶³ããš $2 + 4 = 6$ ç¹ã«ãªãããããã«èµ€ããŒã ãšåãç¹æ°ã«ãªããã
ã ããçã㯠$4$ ç¹ã ãã
çã: $\boxed{4\text{ç¹}}$ |
jp-math-l01-1081-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãåºã§ã·ãŒã«ã2æè²·ããŸããããã®ããšãããã«ã·ãŒã«ã5æè²·ããŸãããå
šéšã§ã·ãŒã«ãäœæè²·ããŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãã¯ããã«è²·ã£ãæ°ãšããã®ããšã«è¿œå ã§è²·ã£ãæ°ãåãããŠãå
šéšã§äœæã«ãªã£ããããæ±ããå¿
èŠããããã
åã¯ããããåçŽãªè¶³ãç®ã®åé¡ã ãšèŠããã
æ¡ä»¶ã確èªãããšãã¯ããã«è²·ã£ãã®ã¯ $2$ æããã®ããšããã«è²·ã£ãã®ã¯ $5$ æã ã
ãã® $2$ æãš $5$ æãåãããèšç®ãããŠã¿ããã
$$2 + 5 = 7$$
èšç®çµæã¯ $7$ ã«ãªã£ããã
ããã§ãåã®ããæ¹ã§æ€ç®ãããŠãæ¬åœã«åã£ãŠããã確èªããŠãããã
$2$ æããç¶æ
ããã $1, 2, 3, 4, 5$ ãšæãæã£ãŠæ°ããŠãããšã $3, 4, 5, 6, 7$ ãšãªãã
ãããã« $7$ æã«ãªãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãã·ãŒã«ãè²·ãè¶³ããŠãå
šéšã§äœæã«ãªã£ããããæ±ããããšã ãã
ã¯ããã« $2$ æããã®ããšããã« $5$ æè²·ã£ããããèšç®åŒã¯ $2 + 5 = 7$ ã«ãªããã
åã®ç¢ºèªã§ã¯ãçãã® $7$ æããåŸã§è²·ã£ã $5$ æãåŒãã°ãã¯ããã® $2$ æã«æ»ããããããã§èšç®ã¯æ£ãããšèšãããã
ã ãããçã㯠$\boxed{7 \text{æ}}$ ã ãã |
jp-math-l01-1965-bridge | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | 倪éããã 3 ã§ãè±åããã 7 ãªã®ã¯åãã£ããã©ããã©ã¡ããäœã¡ãŒãã«å€ãæ©ããããã£ãŠããã®ã¯ã©ããã£ãŠèããã°ããã®ããªïŒ | 倪éãã㯠3 ã¡ãŒãã«æ©ããŸããã
è±åãã㯠7 ã¡ãŒãã«æ©ããŸããã
ã©ã¡ããäœã¡ãŒãã«å€ãæ©ããŸãããã | ãªãã»ã©ãæ°åã¯åãã£ãŠããããã©ããã®ãå·®ããã©ãåºãã°ãããè¿·ã£ãŠãããã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®æ°åã倧ããããšããããšã ãã
倪éãã㯠$3$ ã¡ãŒãã«ãè±åãã㯠$7$ ã¡ãŒãã«ã
$3$ ãš $7$ ãæ¯ã¹ããšãåœç¶ $7$ ã®æ¹ã倧ããããã
ã ãããå€ãæ©ããã®ã¯ãè±åãããã ãšããããšãåããã
次ã«ãã©ããããå€ãæ©ããããã€ãŸããå·®ããæ±ããŠã¿ããã
ãå€ãæ©ããéããç¥ããããšãã¯ã倧ããæ°ããå°ããæ°ãåŒãã°ãããã ãã
ä»åã®å Žåã¯ãè±åããã® $7$ ã¡ãŒãã«ããã倪éããã® $3$ ã¡ãŒãã«ãåŒããŠã¿ããã
$$7 - 3 = 4$$
èšç®ãããš... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®æ°åã倧ãããã ãã倪éããã® $3$ ã¡ãŒãã«ãšè±åããã® $7$ ã¡ãŒãã«ãæ¯ã¹ããšã$7$ ã®æ¹ã倧ãããããå€ãæ©ããã®ã¯è±åããã ãšåãããã
次ã«ãã©ããããå€ãæ©ããããšãããå·®ããæ±ããããã«ã倧ããæ°ããå°ããæ°ãåŒããŠã¿ããã
$$7 - 3 = 4$$
èšç®ãããš $4$ ã¡ãŒãã«ã«ãªããã
åã®ç¢ºèªã§ã¯ã倪éããã® $3$ ã¡ãŒãã«ã«ãã®å·®ã® $4$ ã¡ãŒãã«ãè¶³ããš $3 + 4 = 7$ ã¡ãŒãã«ã«ãªããã¡ãããšè±åããã®æ©ããè·é¢ãšäžèŽãããã ãããããã§ééããªããã
çã: è±åããã $\boxed{4}$ ã¡ãŒãã«å€ãæ©ãã |
jp-math-l01-546-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éããªãã³ã7ã»ã³ããããŸããèµ€ããªãã³ã4ã»ã³ããããŸãã
ã©ã¡ãã®ãªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ãªãã³ã®é·ããæ¯ã¹ãããšã ãã
éããªãã³ã¯ $7$ ã»ã³ãã§ãèµ€ããªãã³ã¯ $4$ ã»ã³ãã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ãã®æ°åã倧ããããšããããšãã
$7$ ãš $4$ ãæ¯ã¹ããšã$7$ ã®ã»ãã倧ãããã
ã ãããé·ãã®ã¯ãéããªãã³ãã ãšããããšãããã«åãããã
次ã«ãã©ããããé·ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
åã¯ããããåŒãç®ã§èãããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£ããã確èªããŠããããã
çãæ¹ã®èµ€ããªãã³ $4$ ã»ã³ãã«ãããŸåºãã差㮠$3$ ã»ã³ããè¶³ããŠã¿ããã
$$4 + 3 = 7$$
ãããã«ãéããªãã³... | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ãªãã³ã®é·ããæ¯ã¹ãããšã ãã
éããªãã³ã¯ $7$ ã»ã³ããèµ€ããªãã³ã¯ $4$ ã»ã³ãã ãããæ°åãæ¯ã¹ããš $7$ ã®ã»ãã倧ãããã ãããé·ãã®ã¯éããªãã³ã ãã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ãäœã»ã³ãããšããããšãã
åã®èšç®ã§ã¯ãåŒãç®ã䜿ã£ãŠ $7 - 4 = 3$ ã»ã³ããšãªãã
確èªãããšãèµ€ããªãã³ã® $4$ ã»ã³ãã« $3$ ã»ã³ããè¶³ãã°ãã¡ãããšéããªãã³ã® $7$ ã»ã³ãã«ãªããããããã§ééããªããã
ã ããçãã¯ãéããªãã³ã $3$ ã»ã³ãé·ãããšãªããã
$\boxed{éããªãã³ã 3 \text{ ã»ã³ãé·ã}}$ |
jp-math-l01-703-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 峿žé€šã§æ¬ãèªã¿ãŸããããããåã¯2åèªã¿ãŸãããã¯ãªã¡ããã¯5åèªã¿ãŸããã
ãããåãã¯ãªã¡ãããšåãæ°ã ãæ¬ãèªãã«ã¯ãããšäœåèªãã°ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ããããåãšã¯ãªã¡ããã®èªãã æ¬ã®æ°ã ãã
ãããå㯠$2$ åãã¯ãªã¡ãã㯠$5$ åã
ããã§èŠãã¹ããªã®ã¯ããããåãã¯ãªã¡ãããšåãæ°ã«ãªãã«ã¯ãããšäœåå¿
èŠãããšããå·®ã®ããšã ãã
ã¯ãªã¡ããã® $5$ åããããããåããã§ã«èªãã $2$ åãåŒããŠã¿ããã
$$5 - 2 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
ããã§äžåºŠãåã®ç¢ºèªãããŠã¿ããã
ãããåã® $2$ åã«ãä»åºãã $3$ åãè¶³ããšã©ããªãããªã
$$2 + 3 = 5$$
ãããã«ãã¯ãªã¡ããã®èªãã æ°ãšåã $5$ åã«ãªããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãééã£ãŠããªãã
ã ãããçã㯠$3$ åã§é... | ãŸã泚ç®ãã¹ãç¹ã¯ããããåãšã¯ãªã¡ããã®èªãã æ¬ã®æ°ã®éãã ãã
ãããå㯠$2$ åã§ãã¯ãªã¡ãã㯠$5$ åãåã¯ããããã¯ãªã¡ããã®æ°ã«åãããããã®ãå·®ããæ±ããåé¡ã ãšèŠããã
èšç®ãããšã $5 - 2 = 3$ åã«ãªããã
åã®ç¢ºèªã§ã¯ããããåã® $2$ åã«ãã® $3$ åãè¶³ãã° $2 + 3 = 5$ åãšãªããã¡ããã©ã¯ãªã¡ãããšåãæ°ã«ãªãã
æ¡ä»¶ã«ãŽã£ããåã£ãŠãããããçã㯠$3$ åã ãã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-1070-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãããããã¯ã·ãŒã«ã8ãŸãæã£ãŠããŸããã¯ãªã¡ããã¯ã·ãŒã«ã3ãŸãæã£ãŠããŸãããããããã¯ã¯ãªã¡ããããäœãŸãå€ãæã£ãŠããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããããããšã¯ãªã¡ããã®ã·ãŒã«ã®åèšã§ã¯ãªãããäœãŸãå€ãæã£ãŠãããããšããå·®ãæ±ããåé¡ã ãã
ããã§æ¡ä»¶ã確èªãããã
ããããã㯠$8$ ãŸãã
ã¯ãªã¡ãã㯠$3$ ãŸãã
åã¯ããããåŒãç®ã§èãããã
$8 - 3 = 5$
èšç®çµæã¯ $5$ ã«ãªã£ããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿ããã
ã¯ãªã¡ããã® $3$ ãŸãã«ãä»åºãã差㮠$5$ ãŸããè¶³ããšã $3 + 5 = 8$ ã«ãªãã
ãããããã®æã£ãŠããæ°ãšãŽã£ããäžèŽãããã
ãšããããã§ãåã®çãã¯ããã§ééããªããã
çã: $5$ ãŸã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ããããããšã¯ãªã¡ããã®ã·ãŒã«ã®å·®ãæ±ããããããããããã® $8$ ãŸãããã¯ãªã¡ããã® $3$ ãŸããåŒããŠã $8 - 3 = 5$ ãŸããåã®ç¢ºèªã§ã¯ãã¯ãªã¡ããã® $3$ ãŸãã«ãã® $5$ ãŸããè¶³ãã°ããããããã® $8$ ãŸãã«æ»ãããèšç®ã¯æ£ããããã ããçã㯠$5$ ãŸãã ãã
çã: $\boxed{5}$ ãŸã |
jp-math-l01-1990-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ã«ãŒããæ°ããããšã¯ã§ãããã©ãã3æè¶³ããš6æã«ãªããã£ãŠããã®ãã©ãããããšãããåãããªãããã©ããã£ãŠèããã°ããã®ïŒ | 衚ã«ãæã£ãŠããã«ãŒãã®æ°ãæžããŠãããŸãã
ãããããïŒ3æ
ãããããïŒ2æ
ã©ã¡ãã®äººã«ãã«ãŒãã 3æ è¶³ããšãå
šéšã§ 6æ ã«ãªããŸããã | ãªãã»ã©ãæ°ãæ¹ã¯åãã£ãŠããããã©ããããã©ããã£ãŠãè¶³ãç®ããšããŠäœ¿ãããäžå®ãªãã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ããè¶³ãããšããã®ã¯ãä»ããæ°ã«ããã«æ°ãä»ãè¶³ããŠãå
šéšã§ããã€ã«ãªããæ°ããããšã ããæã䜿ã£ãŠãããããé ã®äžã§æ°ãæ°ããŠããããã
ã§ã¯ããããããã®å Žåã§èããŠã¿ããã
ãããããã¯ä» $3$ ææã£ãŠããããããã« $3$ æè¶³ããšã©ããªãããäžç·ã«æ°ããŠãããã
$3$ ã®æ¬¡ãã $3$ åæ°ãããã
$4, 5, 6$ã
èšç®åŒã«ãããš $3 + 3 = 6$ ã«ãªããã
ãããã¡ããã© $6$ æã«ãªã£ããã
次ã«ããããããã®å Žåã確èªããŠãããã
ãããããã¯ä»... | ãŸã泚ç®ãã¹ãç¹ã¯ãã3æè¶³ããŠ6æã«ãªãããšããæ¡ä»¶ã ããåã¯ãããããããšãããããããããã«3æè¶³ããŠãã©ã¡ãã6æã«ãªããã確èªããŠã¿ããã
ããããã㯠$3$ ææã£ãŠãããããããã« $3$ æè¶³ããš $3 + 3 = 6$ æã«ãªããã
äžæ¹ãããããã㯠$2$ ææã£ãŠãããããããã« $3$ æè¶³ããš $2 + 3 = 5$ æã«ãªãã
ããã§çµæãæ¯ã¹ããšãããããã㯠$6$ æã§æ¡ä»¶ã«ãŽã£ããåãããã©ãããããã㯠$5$ æã§è¶³ããªãããšãåãããã
åã®ç¢ºèªã§ã¯ãæ¡ä»¶ãæºããã®ã¯ãããããã ãã ã
ã ãããçã㯠ããããã ã ãã
$\boxed{ããããã}$ |
jp-math-l01-348-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éãããšè±åãããã²ãŒã ãããŸããã
倪éããã¯7ç¹ãè±åããã¯4ç¹ã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ç¹æ°ã倧ãããã ãã
倪éãã㯠$7$ ç¹ãè±åãã㯠$4$ ç¹ã
$7$ 㯠$4$ ããã倧ãããããç¹æ°ãå€ãã®ã¯å€ªéããã ãšåãããã
次ã«ãã©ããããç¹æ°ãå€ããã確èªãããã
倧ããæ¹ã®æ°ããå°ããæ¹ã®æ°ãåŒãã°ãããã
èšç®ãããšã
$$7 - 4 = 3$$
ã«ãªããã
ããã§äžåºŠãèšç®ãåã£ãŠããã確èªããŠã¿ããã
å°ãªãæ¹ã®è±åããã® $4$ ç¹ã«ãä»åºãã差㮠$3$ ç¹ãè¶³ããŠã¿ããã
$$4 + 3 = 7$$
ãããã«å€ªéããã®ç¹æ°ã«ãªã£ããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãæ£ããã
ã ãããçãã¯å€ªéããã $3$ ç¹å€ããã§ééããªããã
çã: 倪éããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ç¹æ°ã倧ãããã ãã倪éãã㯠$7$ ç¹ã§è±åãã㯠$4$ ç¹ã ãããç¹æ°ãå€ãã®ã¯å€ªéããã ãã
次ã«ãã©ããããå€ãããèšç®ãããš $7 - 4 = 3$ ç¹ã«ãªãããåã®ç¢ºèªã§ã¯ãè±åããã® $4$ ç¹ã« $3$ ç¹ãè¶³ããš $4 + 3 = 7$ ç¹ã«ãªã£ãŠãã¡ãããšå€ªéããã®ç¹æ°ãšäžèŽããã
ã ããçãã¯ã倪éããã $3$ ç¹å€ããã§åã£ãŠãããã
$\boxed{倪éããã 3 ç¹å€ã}$ | |
jp-math-l01-1197-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | çç§ã®å®éšã§ã2ã€ã®æ€æšé¢ã«çš®ããŸããŠèгå¯ããŸããã
5æ¥ç®ã®èšé²ãèŠããšãAã®æ€æšé¢ã§ã¯3ã€ã®çš®ãèœãåºãŸããã
Bã®æ€æšé¢ã§ã¯8ã€ã®çš®ãèœãåºãŸããã
èœãåºãæ°ã¯ãã©ã¡ãã®æ€æšé¢ãäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®æ€æšé¢ã§èœãåºãæ°ã ãã
Aã®æ€æšé¢ã¯ $3$ åãBã®æ€æšé¢ã¯ $8$ åã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ããå€ãããšããããšã ãã
$3$ ãš $8$ ãæ¯ã¹ããšãåœç¶ $8$ ã®ã»ãã倧ãããããèœãå€ãåºãã®ã¯Bã®æ€æšé¢ã«ãªããã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
å€ãæ¹ã® $8$ ããå°ãªãæ¹ã® $3$ ãåŒãã°ããããã
$$8 - 3 = 5$$
ãšãªããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
å°ãªãæ¹ã® $3$ åã«ãããŸåºãã差㮠$5$ åãè¶³ããŠãå€ãæ¹ã®æ°ã«æ»ããèŠãŠã¿ããã
$$3 + 5 = 8$$
ãŽã£ãã $8$ ã«ãªã£ãããåã®èšç®ã«é... | ãŸã泚ç®ãã¹ãç¹ã¯ãAã®æ€æšé¢ã $3$ åã§ãBã®æ€æšé¢ã $8$ åã§ããããšã ãã
ãã®äºã€ãæ¯ã¹ããš $8$ ã®ã»ãã倧ãããããèœãå€ãåºãã®ã¯Bã®æ€æšé¢ã ãšåãããã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ãã©ããããããšããããšã ãã
åã®èšç®ã§ã¯ãå€ãæ¹ã® $8$ ããå°ãªãæ¹ã® $3$ ãåŒããŠã
$$8 - 3 = 5$$
ãšãªãã
確èªãããšãå°ãªãæ¹ã® $3$ åã« $5$ åãè¶³ãã° $3 + 5 = 8$ ã«ãªããã¡ãããšBã®æ°ãšäžèŽãããã
ã ããçãã¯ãBã®æ€æšé¢ã®ã»ãã $5$ åå€ãã§ééããªããã
çã: $\boxed{Bã®æ€æšé¢ã 5 åå€ã}$ |
jp-math-l01-370-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èšé²ã«ã1æ¥ç®ã«è²ããã2åã2æ¥ç®ã«5åã²ãã£ãããšãæžããŠãããŸãã
ããAã«ã¯è²ããã6åãããBã«ã¯è²ããã7åå
¥ã£ãŠããŸãã
1æ¥ç®ãš2æ¥ç®ã«ã²ãã£ãå
šéšã®æ°ãšåãæ°ãå
¥ã£ãŠããã®ã¯ãã©ã¡ãã®ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã1æ¥ç®ãš2æ¥ç®ã«ã²ãã£ãè²ããã®ãå
šéšã®æ°ããããã€ã«ãªããã ãã
1æ¥ç®ã« $2$ åã2æ¥ç®ã« $5$ åã²ãã£ãããããããåããããã
$2 + 5 = 7$
å
šéšã§ $7$ åã ãã
ããã§ãããã®äžèº«ã確èªããŠã¿ããã
ããAã«ã¯ $6$ åãããBã«ã¯ $7$ åå
¥ã£ãŠããã
åãèšç®ããå
šéšã®æ° $7$ åãšãããã®äžèº«ãæ¯ã¹ããšããŽã£ããåããªã®ã¯ããBã®æ¹ã ãã
ããAã® $6$ åãšã¯ $1$ åéããããããAã§ã¯ãªããã
念ã®ãã確èªããŠãããã
ããBã® $7$ åãã2æ¥ç®ã® $5$ åãåŒããš $7 - 5 = 2$ ã«ãªããããã¯1æ¥ç®ã«ã²ãã£ãæ°ãšäžèŽãããã
èšç®ã«é... | ãŸã泚ç®ãã¹ãç¹ã¯ã1æ¥ç®ãš2æ¥ç®ã«ã²ãã£ãè²ããã®åèšã ãã
1æ¥ç®ã® $2$ åãš2æ¥ç®ã® $5$ åãåããããšã $2 + 5 = 7$ åã«ãªãã
ããã§ãããã®äžèº«ã確èªããŠã¿ãããããA㯠$6$ åãããB㯠$7$ åã ãã
åã®ç¢ºèªã§ã¯ãå
šéšã®æ°ã§ãã $7$ åãšãŽã£ããåããªã®ã¯ããBã®æ¹ã ããããAã® $6$ åãšã¯æ°ãåããªããããæ£è§£ã§ã¯ãªããã
ãããã« $7$ åãšããèšç®çµæã¯ãããBã®æ°ãšäžèŽããŠããã
ã ããçãã¯ãããBã ãã
çã: $\boxed{ããB}$ |
jp-math-l01-1136-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èµ€ããªãã³ã7ã»ã³ããããŸããéããªãã³ã4ã»ã³ããããŸããèµ€ããªãã³ã¯ãéããªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ãªãã³ã®é·ãã ããèµ€ããªãã³ã¯ $7$ ã»ã³ãã§ãéããªãã³ã¯ $4$ ã»ã³ãã
ããã§èŠãã¹ããªã®ã¯ããäœã»ã³ãé·ããããšããå·®ãèãããŠããããšã ããå
šéšã§äœã»ã³ãããèãããŠãããããããªããããè¶³ãç®ã§ã¯ãªãåŒãç®ã䜿ãã®ãæ£è§£ã ãã
èšç®ããŠã¿ããã
$$7 - 4 = 3$$
ããã§ã差㯠$3$ ã»ã³ãã«ãªãã
念ã®ãããåã®ããæ¹ã§åã£ãŠããã確èªããŠããããéããªãã³ã® $4$ ã»ã³ãã«ãä»åºãã差㮠$3$ ã»ã³ããè¶³ããŠã¿ããšã
$$4 + 3 = 7$$
ãšãªããã¡ãããšèµ€ããªãã³ã®é·ãã«æ»ã£ããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãæ£ãããã ãããçãã¯ããã§ééããªã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããã©ããããé·ããããšããå·®ã§ããããšã ããèµ€ããªãã³ã $7$ ã»ã³ããéããªãã³ã $4$ ã»ã³ãã ãããåã¯ãããåŒãç®ã§èãããã
èšç®ãããš $7 - 4 = 3$ ã«ãªããã
åã®ç¢ºèªã§ã¯ãéããªãã³ã® $4$ ã»ã³ãã«ãã® $3$ ã»ã³ããè¶³ãã° $4 + 3 = 7$ ã»ã³ãã«ãªããèµ€ããªãã³ã®é·ããšäžèŽããã
ãããã«æ¡ä»¶ã«åã£ãŠããããèšç®ãæ£ããããã ããçã㯠$3$ ã»ã³ãã ãã
çã: $\boxed{3\text{ã»ã³ã}}$ |
jp-math-l01-1091-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ç§ã¯ 8æã®ã³ã€ã³ãæã£ãŠããŸãããèåã 3æã®ã³ã€ã³ã§è²·ããŸããç§ã¯ããèåã®å€æ®µããäœæå€ãã³ã€ã³ãæã£ãŠããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããæã£ãŠããã³ã€ã³ã®æ°ã§ã¯ãªããããèåã®å€æ®µããäœæå€ããããšããå·®ãæ±ããåé¡ã ãšåã¯èŠããã
ããã§æ¡ä»¶ã確èªãããã
æã£ãŠããã³ã€ã³ã¯ $8$ æã
ãèåã®å€æ®µã¯ $3$ æã
å€ãææ°ãç¥ããããšãã¯ãæã£ãŠããæ°ãã倿®µãåŒãã°ããã
èšç®ããŠã¿ããã
$$8 - 3 = 5$$
çµæã¯ $5$ ã«ãªã£ããã
念ã®ãããæ€ç®ãããŠããããã
ãèåã®å€æ®µã® $3$ æã«ãä»åºãã差㮠$5$ æãè¶³ããšã
$$3 + 5 = 8$$
ã¡ãããšåãæã£ãŠããã³ã€ã³ã®æ°ã«æ»ã£ããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãæ£ããã
ã ãããçã㯠$5$ æã§ééããªããã
çã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯æã£ãŠããã³ã€ã³ã®æ°ãšããèåã®å€æ®µã®ãå·®ããæ±ããå¿
èŠããããã
åã®ç¢ºèªã§ã¯ãæã£ãŠããã³ã€ã³ã¯ $8$ æã§ããèåã®å€æ®µã¯ $3$ æã
ãã®å·®ãèšç®ãããšã
$$8 - 3 = 5$$
ãšãªããã
ããã«ããã® $5$ æã«ãèåã®å€æ®µã® $3$ æãè¶³ã㊠$3 + 5 = 8$ æã«ãªãããšãããèšç®ãæ£ããããšãããããã
ã ããçã㯠$5$ æã ãã
çã: $\boxed{5 \text{æ}}$ |
jp-math-l01-1762-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çãã¯3æã ãšæããŸãã7æãã4æãåŒã㊠$7 - 4 = 3$ ã«ãªã£ãããã§ããã§ããããã§æ¬åœã«åã£ãŠããã®ãèªä¿¡ããªããŠâŠâŠã | ãããåã¯ã·ãŒã«ã7ææã£ãŠããŸããã¯ãªãããã¯ã·ãŒã«ã4ææã£ãŠããŸããã¯ãªãããããããåãšåãæ°ã®ã·ãŒã«ãæã€ããã«ã¯ãããšäœæã®ã·ãŒã«ãå¿
èŠã§ããã | ãµãµããèªä¿¡ããªãã¿ããã ããã§ã倧äžå€«ãåã®èãæ¹ã¯å®ç§ã«åã£ãŠããããåãæ¹ããŠæ¡ä»¶ã確èªããŠã蚌æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ããããåãšã¯ãªãããã®æã£ãŠããã·ãŒã«ã®ææ°ã®å·®ã ãã
ãããå㯠$7$ æãã¯ãªããã㯠$4$ æã
ã¯ãªãããããããåãšåãæ°ã«ãªãããã«ã¯ããã®ãå·®ãã®åã ãã·ãŒã«ãå¢ããå¿
èŠãããã
èšç®ããŠã¿ããšã
$$7 - 4 = 3$$
ãšãªããã
ããã§ãæ¬åœã« $3$ æããã°ããã®ããåã®ããæ¹ã§æ€ç®ããŠã¿ããã
ä»ãã¯ãªããããæã£ãŠãã $4$ æã«ãå¿
èŠã ãšèšã£ã $3$ æãè¶³ããŠã¿ããã
$$4 + 3 = 7$$
èŠãŠããããã¡ãããšãããåãšåã $7$ æã«ãªã£... | ãŸã泚ç®ãã¹ãç¹ã¯ããããåã® $7$ æãšã¯ãªãããã® $4$ æã®ãå·®ããæ±ããããšã ãã
åã®ç¢ºèªã§ã¯ãã¯ãªãããããããåãšåãæ°ã«ãªãããã«å¿
èŠãªææ°ã¯ãåŒãç®ã䜿ã£ãŠ $7 - 4 = 3$ æãšèšç®ã§ãããã
ããã§ãæ¬åœã«ããã§åã£ãŠããã確ãããŠã¿ããã
ã¯ãªãããã® $4$ æã«ãæ±ãã $3$ æãè¶³ããš $4 + 3 = 7$ æã«ãªãããããåã®ææ°ãšãŽã£ããäžèŽãããã
èšç®ãšæ¡ä»¶ã®äž¡æ¹ã確èªãããããçã㯠$3$ æã§ééããªããã
çã: $\boxed{3\text{æ}}$ |
jp-math-l01-849-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããã®äžã«ããããã7åãšããªãã4åå
¥ã£ãŠããŸããã©ã¡ãã®ãã ãã®ãå€ããŠãäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ãã ãã®ã®æ°ã ãã
ãããã $7$ åã§ããªãã $4$ åã
ããã§ãã©ã¡ããå€ããã確èªãããã
$7$ ãš $4$ ãæ¯ã¹ããšã$7$ ã®æ¹ã倧ãããããå€ãã®ã¯ãããããã«ãªããã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãæ±ãããã
åã¯ããããåŒãç®ã§èšç®ããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
å°ãªãæ¹ã®ãªã $4$ åã«ã差㮠$3$ åãè¶³ããŠã¿ããã
$$4 + 3 = 7$$
ãããã«ããããã®æ°ã§ãã $7$ åã«æ»ã£ããã
ãšããããã§ãåã®èšç®ã«ééãã¯ãªããã
çãã¯ããããã®æ¹ã $3$ åå€ã... | ãŸã泚ç®ãã¹ãç¹ã¯ããããã $7$ åã§ãªãã $4$ åãšããæ°ã ãã
$7$ ãš $4$ ãæ¯ã¹ããš $7$ ã®æ¹ã倧ãããããå€ãã®ã¯ãããã®æ¹ã ãšåãããã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ãããã€ããããšããããšã ãã
åã®èšç®ã§ã¯ã$$7 - 4 = 3$$ ãšãªãããã差㯠$3$ åã«ãªãã
確èªã®ããã«ããªãã® $4$ åã« $3$ åãè¶³ããŠã¿ããš $$4 + 3 = 7$$ ã«ãªããã¡ãããšæ¡ä»¶ã«åã£ãŠãããã
ã ããçãã¯ããããã®æ¹ã $3$ åå€ããã§ééããªããã
çã: ãããã $\boxed{3}$ åå€ã |
jp-math-l01-131-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æã£ãŠãããé㯠8å ã§ãã 3å ã® ãããã è²·ããŸããã æ®ã㯠äœå ã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãæã£ãŠãããéãã䜿ã£ãåãåŒããšããããšã ãã
ã¯ããã«æã£ãŠããã®ã¯ $8$ åã§ããããããããã« $3$ å䜿ã£ãã
ã ãããæ±ããã®ã¯ $8$ ãã $3$ ãåŒããæ®ãã®æ°ã«ãªããã
èšç®ããŠã¿ããã
$$8 - 3 = 5$$
ããã§ãæ®ã㯠$5$ åã ãã
ããã§ãåã®ããæ¹ãæ£ããã確èªããŠãããã
æ®ã£ã $5$ åã«ã䜿ã£ã $3$ åãè¶³ããŠãã¯ããã® $8$ åã«æ»ããèŠãŠã¿ããã
$$5 + 3 = 8$$
ãããã« $8$ ã«ãªã£ãããèšç®ã«ééãã¯ãªããã
çã: $5$ å | ãŸã泚ç®ãã¹ãç¹ã¯ãæã£ãŠãããéãã䜿ã£ãåãåŒããŠãæ®ãããåºãããšã ãã
åã¯ããããåçŽãªåŒãç®ã®åé¡ã ãšèŠããã
ã¯ããã® $8$ åãããããã代㮠$3$ åãåŒããšã
$$8 - 3 = 5$$
ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $5$ åã«äœ¿ã£ã $3$ åãè¶³ãã° $5 + 3 = 8$ ã«ãªããã¯ããã®éé¡ãšãŽã£ããåãã
ã ããçã㯠$5$ åã§ééããªããã
çã: $\boxed{5\text{å}}$ |
jp-math-l01-1416-wrong | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | éããªãã³ã7ã»ã³ãã§ãèµ€ããªãã³ã4ã»ã³ãã ãããéããªãã³ã®æ¹ã7ã»ã³ãé·ããïŒ | éããªãã³ã7ã»ã³ããããŸããèµ€ããªãã³ã4ã»ã³ããããŸããã©ã¡ãã®ãªãã³ããäœã»ã³ãé·ãã§ããã | ãããããã ãšéãããæããããã©ãããã¯åãéããŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããã©ã¡ãã®ãªãã³ããäœã»ã³ãé·ããããšèãããŠãããããã¯ãé·ãæ¹ã®ãªãã³ã®é·ããçããã®ã§ã¯ãªããçãæ¹ãšæ¯ã¹ãŠãã©ãã ãå·®ããããããçããåé¡ãªãã ãã
åã¯éããªãã³ãé·ãããšãŸã§ã¯æ£ããèŠæããŠããããã©ãçãã«æžãã $7$ ã»ã³ããšããã®ã¯ãåã«éããªãã³ã®é·ãã®ããšã ããããã§ã¯ãäœã»ã³ãé·ããããšããå·®ã«ãªã£ãŠããªããã
ããã§èŠãã¹ããªã®ã¯ãéããªãã³ã® $7$ ã»ã³ããšãèµ€ããªãã³ã® $4$ ã»ã³ãã®å·®ã ãã
åã¯ããããåŒãç®ã§èãããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªããã
... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãã©ã¡ãããäœã»ã³ãé·ããããšããå·®ãæ±ããå¿
èŠããããã
éããªãã³ã¯ $7$ ã»ã³ããèµ€ããªãã³ã¯ $4$ ã»ã³ãã ããããŸãã¯å€§å°ãæ¯èŒããŠãéããªãã³ã®æ¹ãé·ãããšãåããããæ¬¡ã«ããã®å·®ãèšç®ããããã«åŒãç®ãããŠã¿ããã
$$7 - 4 = 3$$
åã®ç¢ºèªã§ã¯ãèµ€ããªãã³ã® $4$ ã»ã³ãã«ãã® $3$ ã»ã³ããè¶³ããš $4 + 3 = 7$ ã»ã³ãã«ãªããã¡ãããšéããªãã³ã®é·ããšäžèŽãããã ãããèšç®ã¯ããã§ééããªããã
ãšããããã§ãçãã¯éããªãã³ã $3$ ã»ã³ãé·ããã«ãªããã
çã: $\boxed{éããªãã³ã 3 \text{ ã»ã³ãé·ã}}... |
jp-math-l01-1601-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çã㯠4 åã ãšæããŸãã7 ãã 3 ãåŒãããã 4 ã«ãªã£ããã§ããã©ãããã§åã£ãŠããŸããïŒ | ã¢ã¡ã¯3åã§ããã§ã³ã¯7åã§ãããã§ã³ã¯ã¢ã¡ããäœåé«ãã§ããã | ãµãµããèªä¿¡ãªãããã«ããŠãããã©ãèãæ¹ã¯å®ç§ã ãã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã³ãã¢ã¡ããäœåé«ããããšããããšã ãããããã¯ãã§ã³ã®å€æ®µãšã¢ã¡ã®å€æ®µã®ãå·®ããæ±ããåé¡ã«ãªãã
æ¡ä»¶ã確èªãããšããã§ã³ã¯ $7$ åã§ãã¢ã¡ã¯ $3$ åã
ããã§åãèšç®ããŠã¿ããšã
$$7 - 3 = 4$$
ãšãªããã
ããã«ãåã®ããæ¹ã§æ€ç®ããŠã¿ããã
ãããã§ã³ãã¢ã¡ãã $4$ åé«ããšããããã¢ã¡ã® $3$ åã« $4$ åãè¶³ãããšããã¡ãããšãã§ã³ã®å€æ®µã® $7$ åã«ãªãã¯ãã ããã
$$3 + 4 = 7$$
èŠãŠãããããŽã£ããäžèŽããŠãããããªããã
èšç®ãæ¡ä»¶ããã¹ãŠæ£ãããã ãããåã®... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãããã§ã³ãã¢ã¡ããäœåé«ããããšããå·®åã§ããããšã ãã
æ¡ä»¶ã確èªãããšããã§ã³ã¯ $7$ åãã¢ã¡ã¯ $3$ åã ããããã®å·®ãæ±ããããã« $7 - 3 = 4$ ãšèšç®ã§ãããåã®ç¢ºèªã§ã¯ããã®èšç®ã«ééãã¯ãªããã
ããã«ãã¢ã¡ã® $3$ åã«ãã®å·®ã® $4$ åãè¶³ã㊠$3 + 4 = 7$ åã«ãªããã¡ãããšãã§ã³ã®å€æ®µãšäžèŽããããšã確ãããããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$4$ åã§åã£ãŠãããã
çã: $\boxed{4 \text{ å}}$ |
jp-math-l01-461-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã·ãŒã«ã1ãŸãè²·ãã®ã«ã8åããããŸããããŸã5åæã£ãŠããŸããããšäœåããã°ãã·ãŒã«ãè²·ãããšãã§ããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãã·ãŒã«ãè²·ãã®ã«å¿
èŠãªéé¡ãšãããŸæã£ãŠããéé¡ã®å·®ã ãã
å¿
èŠãªã®ã¯ $8$ åã§ãããŸæã£ãŠããã®ã¯ $5$ åã
åã¯ãã®åé¡ããå
šäœã®æ°ããæã£ãŠããæ°ãåŒããŠãè¶³ããªãåãåºãåŒãç®ã®åé¡ã ãšèŠããã
èšç®ããŠã¿ããã
$$8 - 5 = 3$$
ããã§ $3$ åãšããçµæãåºããã
念ã®ãããåã®ããæ¹ãæ£ããã確èªããŠãããã
ããŸæã£ãŠãã $5$ åã«ãè¶³ããªãåã® $3$ åãè¶³ããšã©ããªãããªã
$$5 + 3 = 8$$
ãããã«ãã·ãŒã«ã®å€æ®µã§ãã $8$ åã«ãªããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãééã£ãŠããªãã
ã ãããçã㯠$3$ åã§ééããªããã
çã: $... | ãŸã泚ç®ãã¹ãç¹ã¯ãã·ãŒã«ã®å€æ®µã§ãã $8$ åã«å¯ŸããŠãã㟠$5$ åæã£ãŠãããšããããšã ãã
åã¯ããããå¿
èŠãªéé¡ããæã£ãŠããéé¡ãåŒããŠãäžè¶³åãæ±ããåé¡ã ãšèŠããã
èšç®ãããšã
$$8 - 5 = 3$$
ãšãªããããš $3$ åå¿
èŠã ãšããããšãåãããã
åã®ç¢ºèªã§ã¯ãããŸæã£ãŠãã $5$ åã«ãã® $3$ åãè¶³ãã° $5 + 3 = 8$ åã«ãªããã¡ããã©ã·ãŒã«ã®å€æ®µã«ãªãã
æ¡ä»¶ã«ãŽã£ããåã£ãŠãããããçã㯠$3$ åã§ééããªããã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-1194-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æçã«äœ¿ãéèãçšæããŸãããã«ãããã3æ¬ããããããã7æ¬ãããŸããã©ã¡ãã®éèãäœæ¬å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®éèãäœæ¬ãããã ãã
ã«ããã㯠$3$ æ¬ãããããã㯠$7$ æ¬ã
ãã®äºã€ã®æ°ãæ¯ã¹ããšã $7$ ã®æ¹ã $3$ ãã倧ããããããããããã®æ¹ãå€ãããšãããã«åãããã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
åã¯ããããåŒãç®ã§èãããã
$$7 - 3 = 4$$
èšç®ãããš $4$ ã«ãªã£ããã
ããã§äžåºŠãåã®ç¢ºèªãããŠã¿ããã
å°ãªãæ¹ã®ã«ããã $3$ æ¬ã«ãä»åºãã差㮠$4$ æ¬ãè¶³ããŠã¿ããšã $3 + 4 = 7$ ã«ãªãã
ã¡ãããšãããããã®æ°ãšäžèŽãããã
ãšããããã§ãæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
çãã¯ãããããã $4$ æ¬å€ãããšã... | ãŸã泚ç®ãã¹ãç¹ã¯ãã«ããããšãããããã®æ°ã®æ¯èŒã ããã«ããã㯠$3$ æ¬ã§ãããããã㯠$7$ æ¬ã ããããããããã®æ¹ãå€ãããšãåãããã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ã ãã $7 - 3 = 4$ ãšèšç®ã§ããã
åã®ç¢ºèªã§ã¯ã $3 + 4 = 7$ ã«ãªããããèšç®ã¯ãŽã£ããåã£ãŠãããã
ã ããçãã¯ããããããã $4$ æ¬å€ãããšããããšã«ãªããã
$\boxed{ãããããã 4 æ¬å€ã}$ |
jp-math-l01-308-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã²ãŒã ã®åŸç¹è¡šã«ããããå㯠8ç¹ããããå㯠5ç¹ ãšæžããŠãããŸãããããåã¯ããããåãã äœç¹ å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããããåããããåãããäœç¹å€ããããç¥ãããããã ãããããã¯äºäººã®åŸç¹ã®å·®ãæ±ããåé¡ã ãšèŠããã
æ¡ä»¶ã確èªãããããããå㯠$8$ ç¹ããããå㯠$5$ ç¹ã ãã
ã©ã¡ããå€ããã¯ãæ°åãæ¯ã¹ãã°ããã«åããã $8$ 㯠$5$ ãã倧ããããããããåã®æ¹ãå€ããã
ãããããã®å·®ãèšç®ããŠã¿ããã
$8$ ãã $5$ ãåŒãã°ããããã
$$8 - 5 = 3$$
ã«ãªããã
ããã§ãåã®ããæ¹ãæ£ãããæ€ç®ããŠãããã
ãããåã® $5$ ç¹ã«ãä»åºãã差㮠$3$ ç¹ãè¶³ããŠããããåã® $8$ ç¹ã«æ»ãã確èªãããã ã
$$5 + 3 = 8$$
ãŽã£ããããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãäºäººã®åŸç¹ã®ãå·®ãã ãšããããšã ãããããå㯠$8$ ç¹ããããå㯠$5$ ç¹ã ããããããåãã©ãã ãå€ãããæ±ããã«ã¯åŒãç®ã䜿ãã°ããã
èšç®ãããš $8 - 5 = 3$ ã«ãªããã
åã®ç¢ºèªã§ã¯ããããåã® $5$ ç¹ã«ãã® $3$ ç¹ãè¶³ããš $5 + 3 = 8$ ç¹ã«ãªãããããåã®åŸç¹ãšãŽã£ããäžèŽãããã
ã ããçã㯠$3$ ç¹ã ãã
$\boxed{3 \text{ç¹}}$ |
jp-math-l01-1639-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | 2人ãš6人ãåããããš8人ã«ãªããšæããã§ããã©âŠâŠãããã§åã£ãŠããŸããïŒ | åã©ããã¡ã2ã€ã®ã°ã«ãŒãã«åãããŠããŸãã1ã€ãã®ã°ã«ãŒãã«ã¯2人ã®åã©ããããŠã2ã€ãã®ã°ã«ãŒãã«ã¯6人ã®åã©ããããŸããå
šéšã§äœäººã®åã©ããããŸããã | èªä¿¡ãªãããã«ããŠããããã§ããçµè«ããèšãããåã®çãã¯å®å
šã«æ£ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããå
šéšã§äœäººãããç¥ããããã ããã2ã€ã®ã°ã«ãŒãã®äººæ°ãåãããã°ãããã€ãŸããããã¯è¶³ãç®ã®åé¡ã ãšèŠãã°ãããã
æ¡ä»¶ã確èªãããã
1ã€ãã®ã°ã«ãŒã㯠$2$ 人ã
2ã€ãã®ã°ã«ãŒã㯠$6$ 人ã
ãããåŒã«ãããšã $2 + 6 = 8$ ã«ãªããã
åã®ç¢ºèªã§ã¯ãããã§ééããªãã念ã®ãããæ°ãäžãã§æ€ç®ããŠã¿ãããã
$2$ ããå§ããŠã $6$ ååã ãæãæã£ãŠæ°ããŠãããã
$3, 4, 5, 6, 7, 8$ ã
ãŽã£ãã $8$ ã«ãªã£ããã
ãããã¯ãåŒãç®ã§ç¢ºãããŠããããã
å
šéš... | åã®çãã§åã£ãŠãããããŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ã°ã«ãŒããåãããŠãå
šéšã§äœäººãããæ±ããããšã ãã
1ã€ãã®ã°ã«ãŒãã® $2$ 人ãšã2ã€ãã®ã°ã«ãŒãã® $6$ 人ãè¶³ããšã $2 + 6 = 8$ ã«ãªããåã®ç¢ºèªã§ã¯ã $2$ ãã $6$ ã€åæ°ãäžããŠã $8$ ã«ãªããã $8 - 6 = 2$ ãšããèšç®ã§ãæ¡ä»¶ã«ãŽã£ããåããã
ã ãããçã㯠$\boxed{8}$ 人ã§ééããªããã |
jp-math-l01-945-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããããã㯠å
¬åãŸã§ æ©ãã®ã« 8 åããããŸããã
ã²ãªããã㯠å
¬åãŸã§ æ©ãã®ã« 5 åããããŸããã
ããããã㯠ã²ãªããããã äœåå€ã ããããŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããäœåå€ãããã£ããããšããããšã ãããããã¯ããããããšã²ãªãããã®æéã®å·®ãæ±ããåé¡ã ãšåãããã
æ¡ä»¶ã確èªãããã
ããããã㯠$8$ åã
ã²ãªããã㯠$5$ åã
åã¯ããããåŒãç®ã§èãããã
ãããããã®æéããã²ãªãããã®æéãåŒãã°ããã®å·®ãåºãã¯ãã ãã
èšç®ããŠã¿ããã
$$8 - 5 = 3$$
ããã§äžåºŠãåã®èšç®ãæ£ããã確èªããŠãããã
ã²ãªãããã® $5$ åã«ãä»åºãã差㮠$3$ åãè¶³ããŠããããããã® $8$ åã«æ»ããã©ãããèŠããã ã
$$5 + 3 = 8$$
ãããã«ããŽã£ããåããã
ãšããããã§ãèšç®ã«ééãã¯ãªããã
çã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ããããããšã²ãªãããã®æéã®å·®ãæ±ãããããåã¯ãããåŒãç®ã®åé¡ãšããŠèŠããã
ããããã㯠$8$ åãã²ãªããã㯠$5$ åããã£ããããåŒã¯ $8 - 5 = 3$ ãšãªããã
åã®ç¢ºèªã§ã¯ãã²ãªãããã® $5$ åã«ãã® $3$ åãè¶³ããšãã¡ãããšãããããã® $8$ åã«æ»ãã
æ¡ä»¶ã«ãŽã£ããåã£ãŠãããããçã㯠$3$ åã§ééããªããã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-1822-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | æ°ãæ°ããããšã¯ã§ãããã©ããããšäœæããã°ãããããšããèãæ¹ãããåãããªããã | å
çãã·ãŒã«ã9ææã£ãŠããŸããããããã¯ããã4æã®ã·ãŒã«ãæã£ãŠããŸãããããããå
šéšã§7æã®ã·ãŒã«ãæã€ããã«ã¯ãããšäœæãããå¿
èŠããããŸããã | ãªãã»ã©ãæ°ãæ¹ã¯åãããã©ãè¶³ããªãåããã©ãåºãã°ãããè¿·ã£ãŠãããã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ã仿ã£ãŠããæ°ãšããªãããæ°ã ãã
ããããã¯ä» $4$ ææã£ãŠããŠãå
šéšã§ $7$ æã«ãªããããšèããŠããã
ããã§ãæã䜿ã£ãŠ $4$ ãã $7$ ãŸã§æ°ããŠãããã$5, 6, 7$ ãšã $3$ åæ°ããããããã®ãæ°ããåæ°ãããããè¶³ããªãåãªãã ãã
ãããèšç®ã§åºãã«ã¯ãåŒãç®ã䜿ããšãã£ããããã
ããªãããæ°ãããã仿ã£ãŠããæ°ããåŒãã°ãããã ã
åŒã«ãããšãããªããã
$$7 - 4 = 3$$
ããã§ãå顿ã«ãããå
çã $9$ ææã£ãŠããããšããæ¡ä»¶ã«ã€ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã仿ã£ãŠããæ°ãšãæçµçã«ãªãããæ°ã ãã
ä»ã¯ $4$ ææã£ãŠããŠãå
šéšã§ $7$ æã«ããããšããããšã ããããã®å·®ãèããã°ããã
åã¯ããããåŒãç®ã䜿ã£ãŠ $7 - 4 = 3$ æãšèŠããã
ããã§ãå
çãæã£ãŠãã $9$ æãšããæ¡ä»¶ãããããã©ãèãããŠããã®ã¯ãããããããããææ°ãã ããããã®æ°åã¯äœ¿ããªããŠå€§äžå€«ã
åã®ç¢ºèªã§ã¯ãä»ãã $4$ æã« $3$ æãè¶³ããš $4 + 3 = 7$ æã«ãªããæ¡ä»¶ã«ãŽã£ããåããã
ã ããçã㯠$3$ æã ãã
çã: $\boxed{3\text{æ}}$ |
jp-math-l01-1798-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çãã¯3ç¹ã ãšæããŸãã5ãã2ãåŒããš3ã«ãªãããâŠâŠãã§ããæ¬åœã«ããã§åã£ãŠãããèªä¿¡ããªããŠã | ã²ãŒã ã§ããããåã¯5ç¹åããŸãããã¯ãªã¡ããã¯2ç¹åããŸãããã¯ãªã¡ããããããåãšåãç¹æ°ã«ãªãã«ã¯ãããšäœç¹åãã°ããã§ããã | ãµãµããèªä¿¡ããªãã¿ããã ããã§ã倧äžå€«ãåã®åºããçãã¯æ£è§£ã ããåãã¡ãããšç¢ºèªããŠããããããã©ãããŠãããªãã®ãäžç·ã«èŠãŠã¿ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ããããåãšã¯ãªã¡ããã®ä»ã®ç¹æ°ã®å·®ã ãã
ãããå㯠$5$ ç¹ãã¯ãªã¡ãã㯠$2$ ç¹ã
ã¯ãªã¡ããããããåãšåãç¹æ°ã«ãªãã«ã¯ããã®å·®ã®åã ãç¹æ°ãå¢ããå¿
èŠãããã
ããã§ãåŒãç®ã䜿ã£ãŠå·®ãæ±ããŠã¿ããã
$$5 - 2 = 3$$
èšç®ãããšã差㯠$3$ ç¹ã«ãªããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠã¿ããã
ä»ã®ã¯ãªã¡ãããæã£ãŠãã $2$ ç¹ã«ãæ±ãã $3$ ç¹ãè¶³ããŠã¿ããšã©ããªãããªã
$$2 + 3 = 5$$
èŠãŠãããããããåã®ç¹æ°ã§... | ãŸã泚ç®ãã¹ãç¹ã¯ããããåã® $5$ ç¹ãšã¯ãªã¡ããã® $2$ ç¹ã®å·®ã ããã¯ãªã¡ããããããåãšåãç¹æ°ã«ãªãã«ã¯ããã®å·®ã®åã ãç¹æ°ãåãå¿
èŠããããããåã¯ãããåŒãç®ã§èãããã
èšç®ãããš $5 - 2 = 3$ ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $3$ ç¹ãã¯ãªã¡ããã®ä»ã®ç¹æ°ã«è¶³ããš $2 + 3 = 5$ ã«ãªãããããåã®ç¹æ°ãšãŽã£ããäžèŽããã
æ¡ä»¶ã«ãã£ããåã£ãŠããããèšç®ãæ£ãããã ããçã㯠$3$ ç¹ã§ééããªããã
çã: $\boxed{3\text{ç¹}}$ |
jp-math-l01-1144-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãæçã«ãã«ãããã 3 æ¬äœ¿ããŸãããããããããã«ããããšåãæ°ã ã䜿ããŸããããã«ãããŸããã 1 æ¬äœ¿ããŸããå
šéšã§äœæ¬ã®éèã䜿ããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®éèãäœæ¬ããããšããããšã ãã
ã«ããã㯠$3$ æ¬ããããŸã§ã¯ç°¡åã ã
次ã«ããããããã®æ°ã確èªããããåé¡ã«ã¯ãã«ããããšåãæ°ã ãããšæžããŠãããã
ãšããããšã¯ããããããã $3$ æ¬ãšããããšã«ãªãããããèŠèœãšããªãã®ããã€ã³ãã ãã
ããã«ãããŸããã $1$ æ¬ããã
èãããŠããã®ã¯ãå
šéšã§äœæ¬ããã ãããããããå
šéšåãããŠèšç®ããã°ããã
ãŸãã¯ã«ããããšããããããåãããŠã¿ããã
$3 + 3 = 6$ æ¬ã ãã
ããã«ããŸããã® $1$ æ¬ãè¶³ããšã
$6 + 1 = 7$ æ¬ã«ãªãã
åã®ç¢ºèªã§ã¯ãã«ããã $3$ æ¬ãããããã $3$ æ¬ãããŸãã $... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®éèã®æ°ã ãã
ã«ããã㯠$3$ æ¬ã§ããããããããåãæ°ãã ãã $3$ æ¬ãããã«ããŸããã $1$ æ¬ããã
åã¯ããããé çªã«è¶³ãç®ãããã°ããåé¡ã ãšèŠããã
ãŸãã«ããããšããããããåããããš $3 + 3 = 6$ æ¬ã
ããã«ããŸããã® $1$ æ¬ãè¶³ã㊠$6 + 1 = 7$ æ¬ã«ãªããã
åã®ç¢ºèªã§ã¯ãéèã®åèšã¯ $3 + 3 + 1 = 7$ æ¬ã§ééããªããã
ã ããçã㯠$7$ æ¬ã ãã
çã: $\boxed{7 \text{æ¬}}$ |
jp-math-l01-1705-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ããã¿ããã ãšæããŸãããããããã¯å
šéšã§5æ©æ©ããããããã¿ãããå
šéšã§5æ©æ©ããããâŠâŠãã§ããæ¬åœã«åã£ãŠãããäžå®ã§ãã | ãããããã 2æ© ããããŠããã®ããš 3æ© ããããŸããã
ãããã㯠4æ© ããããŸããã
ããã¿ãã㯠1æ© ããããŠããã®ããš 4æ© ããããŸããã
ããããããš ããªãæ°ã ã ããããã®ã¯ãã ãã§ããã | ãµãµããèªä¿¡ãæã£ãŠããããåã®èãæ¹ã¯å®ç§ã ãã
åãæ¹ããŠæ¡ä»¶ã確èªããŠãèšç®ããŠã¿ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®åç©ãå
šéšã§äœæ©æ©ããããšããããšã ãã
ãããããã¯ãæåã« $2$ æ©ããã®ããš $3$ æ©æ©ããã
ãããåããããšã $2 + 3 = 5$ æ©ã«ãªããã
次ã«ããããã ãã©ããããã㯠$4$ æ©ã ãæ©ããã
ã ããããããã㯠$4$ æ©ã ãã
ãããŠããã¿ããã ãããã¿ããã¯æåã« $1$ æ©ããã®ããš $4$ æ©æ©ããã
ãããåããããšã $1 + 4 = 5$ æ©ã«ãªãã
ããã§ãããããããšåãæ©æ°ã ã£ãã®ã¯èª°ãã確èªãããã
ããããã㯠$5$ æ©ã
ãããã㯠$4$ ... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®åç©ãå
šéšã§äœæ©æ©ãããã ãã
åã®èšç®ã§ã¯ãããããã㯠$2 + 3 = 5$ æ©ããããã㯠$4$ æ©ããããŠããã¿ãã㯠$1 + 4 = 5$ æ©æ©ããããšã«ãªãã
ããã§ããããããã® $5$ æ©ãšåãæ©æ°ãªã®ã¯èª°ãã確èªãããšãããã¿ããã® $5$ æ©ããŽã£ããäžèŽããããããããã® $4$ æ©ãšã¯æ°ãéããããæ¡ä»¶ã«åããªããã
確èªã®çµæãããããããšåãæ°ã ãæ©ããã®ã¯ããã¿ããã§ééããªããã
ã ããçã㯠$\boxed{ããã¿ãã}$ ã ãã |
jp-math-l01-637-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | çç§ã®å®éšã§ãçš®ããã€ããŠããŸããèµ€ãç®±ã«3ã€ãéãç®±ã«2ã€ã®çš®ãå
¥ã£ãŠããŸããå
šéšã§8ã€ã®çš®ãå¿
èŠãªãšããããšããã€çš®ããã€ããã°ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãä»å
šéšã§ããã€çš®ãããããšããããšã ãã
èµ€ã箱㫠$3$ ã€ãéã箱㫠$2$ ã€å
¥ã£ãŠããããããŸãã¯ãããåããããã
$3 + 2 = 5$
ããã§ãä»ã¯å
šéšã§ $5$ ã€ã®çš®ãããããšãåãã£ããã
次ã«ãç®æšã®æ°ã確èªããããå
šéšã§ $8$ ã€å¿
èŠã ãšããããšã ãããä»ã® $5$ ã€ãš $8$ ã€ã®å·®ãèããã°ããã
åã¯ããããåŒãç®ã§æ±ãããã
$8 - 5 = 3$
æåŸã«ããã®çµæãæ£ããã確èªããŠããããã
ä»ãã $5$ ã€ã«ãããš $3$ ã€éããã°ã$5 + 3 = 8$ ã«ãªãã
ãããã«ãå¿
èŠãª $8$ ã€ã«ãŽã£ããåããã
ãšããããã§ãåã®èšç®ã«ééãã¯ãªããã
çã:... | ãŸã泚ç®ãã¹ãç¹ã¯ãä»ãã§ã«ããã€çš®ãéãŸã£ãŠãããã ããèµ€ã箱㮠$3$ ã€ãšéã箱㮠$2$ ã€ãåããããšã$3 + 2 = 5$ ã€ã«ãªãã
ããã§èŠãã¹ããªã®ã¯ãç®æšã® $8$ ã€ãŸã§ããšããã€è¶³ããªãããšããå·®ã ããåã®ç¢ºèªã§ã¯ã$8 - 5 = 3$ ã€ãšãªããã
ãããã«ãä»ã® $5$ ã€ã« $3$ ã€ãè¶³ãã° $5 + 3 = 8$ ã€ã«ãªããæ¡ä»¶ã«ãŽã£ããåããã
ã ããçã㯠$3$ ã€ã ãã
çã: $\boxed{3\text{ã€}}$ |
jp-math-l01-267-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | å®éšã§ããããŽã€ã®é·ãããããã¯ã䜿ã£ãŠã¯ãããŸããã
éããããŽã€ã¯ 5ã€ã®ãããã¯ã®é·ãã§ããã
èµ€ããããŽã€ã¯ 3ã€ã®ãããã¯ã®é·ãã§ããã
ã©ã¡ãã®ãããŽã€ããããã€åé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ãããŽã€ã®é·ããããã€åã®ãããã¯ããšããããšã ãã
éããããŽã€ã¯ $5$ ã€åãèµ€ããããŽã€ã¯ $3$ ã€åã
ããã§ãã©ã¡ããé·ããã確èªãããã
$5$ ãš $3$ ãæ¯ã¹ããšã$5$ ã®ã»ãã倧ãããããé·ãã®ã¯éããããŽã€ã«ãªããã
次ã«ãã©ããããé·ãããã€ãŸããã®å·®ãæ±ãããã
åã¯ããããåŒãç®ã§èšç®ãããã
$$5 - 3 = 2$$
èšç®ãããš $2$ ã«ãªã£ãã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
çãæ¹ã®èµ€ããããŽã€ã® $3$ ã€åã«ãããŸåºãã差㮠$2$ ã€åãè¶³ããŠã¿ããã
$$3 + 2 = 5$$
ãããã«ãé·ãæ¹ã®éããããŽã€ã® $5$ ã€åã«ãªã£ãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ãããŽã€ãé·ãããšããããšã ãã
éããããŽã€ã¯ $5$ ã€åãèµ€ããããŽã€ã¯ $3$ ã€åã ãããæ°ãæ¯ã¹ããš $5 > 3$ ãšãªããé·ãã®ã¯éããããŽã€ã ãšåãããã
次ã«ãããã€åé·ãããšããå·®ãèšç®ããŠã¿ããã
$$5 - 3 = 2$$
åã®èšç®ã§ã¯ã差㯠$2$ ã€åã«ãªããã
ããã§äžåºŠç¢ºèªããŠã¿ããšã赀㮠$3$ ã€åã«ãã®å·®ã® $2$ ã€åãè¶³ãã° $3 + 2 = 5$ ãšãªããã¡ãããšéã®é·ãã«äžèŽããã
ã ããçãã¯ãéããããŽã€ã®ã»ãã $2$ ã€åé·ããã§åã£ãŠãããã
çã: $\boxed{éããããŽã€ã®ã»ãã 2 ã€åé·ã}$ |
jp-math-l01-156-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éããªãã³ã 8 ã»ã³ããããŸããé»è²ããªãã³ã 5 ã»ã³ããããŸãã
ã©ã¡ãã®ãªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ãªãã³ã®é·ããæ¯ã¹ãããšã ãã
éããªãã³ã¯ $8$ ã»ã³ãã§ãé»è²ããªãã³ã¯ $5$ ã»ã³ãã
ããã§ãã©ã¡ãã倧ãããã確èªããŠã¿ããã
$8$ ãš $5$ ãæ¯ã¹ããšã$8$ ã®ã»ãã倧ãããã
ã ãããé·ãã®ã¯ãéããªãã³ãã®æ¹ã§ééããªããã
次ã«ãã©ããããé·ãããã€ãŸããã®å·®ãæ±ãããã
åã¯ããããåŒãç®ã§èãããã
$$8 - 5 = 3$$
èšç®ãããš $3$ ã«ãªã£ãã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
çãæ¹ã®é»è²ããªãã³ $5$ ã»ã³ãã«ãä»ã®çãã® $3$ ã»ã³ããè¶³ããŠã¿ããã
$$5 + 3 = 8$$
ã¡ãããšéããªãã³ã® $8$ ã»ã³ãã«æ»ã£ããã
ãšã... | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ãªãã³ã®é·ããæ¯ã¹ãããšã ãã
éããªãã³ã¯ $8$ ã»ã³ããé»è²ããªãã³ã¯ $5$ ã»ã³ãã ããã倧å°ãæ¯ã¹ããš $8$ ã®ã»ãã倧ãããã ãããé·ãã®ã¯éããªãã³ã®æ¹ã«ãªããã
ããã§èŠãã¹ããªã®ã¯ããã®å·®ãäœã»ã³ãããšããããšã ãã
åã®èšç®ã§ã¯ãåŒãç®ã䜿ã£ãŠ $8 - 5 = 3$ ã»ã³ããšãªãã
確èªã®ããã«ãé»è²ããªãã³ã® $5$ ã»ã³ãã« $3$ ã»ã³ããè¶³ããŠã¿ããš $5 + 3 = 8$ ã»ã³ãã«ãªããã¡ãããšéããªãã³ã®é·ããšäžèŽãããã
ã ããçãã¯ãéããªãã³ã®ã»ãã $3$ ã»ã³ãé·ããã§åã£ãŠãããã
çã: $\boxed{éããªãã³ã 3 ã»ã³ãé·ã}$ |
jp-math-l01-1897-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ééã4å¹ããããšã¯ããããã©ãã2å¹å€ãããããšèšããããšãã«ãã©ããã£ãŠèšç®ããã°ããã®ãåãããªããã | æ°Žæ§œã®äžã®éã®æ°ã調ã¹ãŸãããééã4å¹ããŸãããéè²ã®éã¯ãééããã2å¹å€ãããŸãããéè²ã®éã¯äœå¹ããŸãããã | ãªãã»ã©ãããŸãã¯ãä»åãã£ãŠããããšããæŽçããŠã¿ããã
ééã®æ°ã¯ $4$ å¹ã ããããã¯ããåãã£ãŠãããã倧äžå€«ã
ããã§èŠãã¹ããªã®ã¯ãã2å¹å€ãããããšããèšèã®æå³ã ãã
ãå€ãããšããã®ã¯ãããšããšã®æ°ã«ãããã«æ°ãä»ãè¶³ããšããããšãªãã ã
äŸãã°ãééã® $4$ å¹ã«ããã $2$ å¹åãä»ãè¶³ããŠæ°ããŠãããã
$4$ ã®æ¬¡ã $5$ ã§ããã®æ¬¡ã $6$ã
ãããã£ãŠæ°ãäžãããšãå
šéšã§ $6$ å¹ã«ãªããã
ãããåŒã«ãããšãè¶³ãç®ã䜿ã£ãŠããæžãããã
$$4 + 2 = 6$$
åã®ç¢ºèªã§ã¯ãããã§éè²ã®éã®æ°ãæ£ããåºããŠãããã
念ã®ãããéããèããŠã¿ããã
éè²ã®éã $6$ å¹ã§ãéé... | ãŸã泚ç®ãã¹ãç¹ã¯ãééã®æ°ãããéè²ã®éã®æ¹ãã2å¹å€ãããšããããšã ãã
åã¯ããããééã®æ° $4$ å¹ã« $2$ å¹ãä»ãè¶³ãèšç®ã ãšèŠããã
åŒã«ãããš $4 + 2 = 6$ ã«ãªããã
確èªããŠã¿ããšãéè²ã®éã $6$ å¹ã®ãšããééã® $4$ å¹ãšã®å·®ã¯ $6 - 4 = 2$ å¹ã«ãªããããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$6$ å¹ã ãã
çã: $\boxed{6}$ å¹ |
jp-math-l01-739-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ç®±ã2ã€ãããŸãã
1ã€ãã®ç®±ã«ã¯ãããã3åå
¥ã£ãŠããŸãã
2ã€ãã®ç®±ã«ã¯ã1ã€ãã®ç®±ãšåãæ°ã ããããå
¥ã£ãŠããŸãã
ããã«ãæºã®äžã« ããã1åãããŸãã
ããã¯å
šéšã§äœåãããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®å Žæã«ããããã®æ°ã ãã
1ã€ãã®ç®±ã«ã¯ $3$ åå
¥ã£ãŠãããããã¯å顿ã«ãã®ãŸãŸæžããŠããããç°¡åã ãã
次ã«ã2ã€ãã®ç®±ã«ã€ããŠèŠããã
æ¡ä»¶ã«ã1ã€ãã®ç®±ãšåãæ°ã ãããšãããããããã«ã $3$ åå
¥ã£ãŠããããšã«ãªããã
ããã«ãæºã®äžã« $1$ åããããšãå¿ããŠã¯ãããªããã
ããã§ããããããå Žæã¯ã1ã€ãã®ç®±ãã2ã€ãã®ç®±ããæºã®äžãã®3ãæã ãšåãã£ããã
å
šéšã§äœåãããèšç®ããŠã¿ããã
ãŸãã2ã€ã®ç®±ã®ãããåããããš $3 + 3 = 6$ åã«ãªãã
ããã«æºã®äžã® $1$ åãè¶³ããš $6 + 1 = 7$ åã ãã
åã®ç¢ºèªã§ã¯ãèšç®ã¯ $3 + 3 + 1 ... | ãŸã泚ç®ãã¹ãç¹ã¯ããããå
¥ã£ãŠããå Žæãšããããã®æ°ã ãã
1ã€ãã®ç®±ã«ã¯ $3$ åã2ã€ãã®ç®±ã«ã¯ãããšåãæ°ã® $3$ åããããŠæºã®äžã« $1$ åããã
åã®èšç®ã§ã¯ããŸãç®±ã®ãããåãã㊠$3 + 3 = 6$ åãããã«æºã®äžã® $1$ åãè¶³ã㊠$6 + 1 = 7$ åã«ãªããã
確èªãããšã$3 + 3 + 1 = 7$ ãšãªãããã¹ãŠã®æ¡ä»¶ãæºãããŠãããã
ã ããçã㯠$7$ åã ãã |
jp-math-l01-928-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã²ãŒã ã§ããããããã¯5ç¹ãã¯ãªã¡ããã¯2ç¹ãšããŸãããã¯ãªã¡ãããããããããšåãç¹æ°ã«ãªãã«ã¯ãããšäœç¹ãšãã°ããã§ããã
äžæ¡ã®åŒãç® | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããããããšåãç¹æ°ã«ãªãããã«ãã¯ãªã¡ããããããšäœç¹ããšãã°ããããã€ãŸãäºäººã®ç¹æ°ã®å·®ãæ±ããåé¡ã ãã
ããã§æ¡ä»¶ã確èªãããã
ããããã㯠$5$ ç¹ã
ã¯ãªã¡ãã㯠$2$ ç¹ã
ãããããã®æ¹ãç¹æ°ãé«ããããã¯ãªã¡ãããããã€ç¹æ°ãå¢ããã° $5$ ç¹ã«å±ãããèãããã
åã¯ããããåŒãç®ã§å·®ãåºãåé¡ã ãšèŠããã
$$5 - 2 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
念ã®ãããåã®ããæ¹ã§åã£ãŠããã確èªããŠã¿ããã
ä»ã®ç¹æ° $2$ ç¹ã«ãããš $3$ ç¹ãè¶³ããšã©ããªãããªã
$$2 + 3 = 5$$
ãããã«ããããããšåã $5$ ç¹ã«ãªã£ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããããããã® $5$ ç¹ãšã¯ãªã¡ããã® $2$ ç¹ã®å·®ãæ±ããã°ãããšããããšãã
åã®èãæ¹ã§ã¯ããããããã®ç¹æ°ãããã¯ãªã¡ããã®ä»ã®ç¹æ°ãåŒããŠå·®ãåºããã
$$5 - 2 = 3$$
èšç®ãããš $3$ ç¹ã«ãªããã
ããã§ãåã®ç¢ºèªãšããŠãã¯ãªã¡ããã® $2$ ç¹ã«ãã® $3$ ç¹ãè¶³ããŠã¿ããã
$$2 + 3 = 5$$
ãããã«ããããããšåã $5$ ç¹ã«ãªãããæ¡ä»¶ã«ãŽã£ããåã£ãŠãããã
ã ããçã㯠$3$ ç¹ã ãã
çã: $\boxed{3\text{ç¹}}$ | |
jp-math-l01-311-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 8åã®ãããã»ããã§ããããŸã5åæã£ãŠããŸããããšäœåããã°ããã®ãããè²·ãããšãã§ããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã®å€æ®µã $8$ åã§ãããŸæã£ãŠããã®ã $5$ åãã€ãŸãããã® $8$ ãš $5$ ã®ãå·®ãããããšäœåå¿
èŠããšããããšã«ãªããã
åã¯ããããåŒãç®ã§èããã®ãäžçªãã£ãããããšæããªã
ããšããšã®å€æ®µãããããŸæã£ãŠããåãåŒããŠã¿ããã
$$8 - 5 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
ããã§äžåºŠãåã®èšç®ãåã£ãŠããã確èªããŠããããã
ããŸæã£ãŠãã $5$ åã«ãè¶³ããªãåã® $3$ åãè¶³ããŠãã¡ãããšããã®å€æ®µã® $8$ åã«ãªããèŠãŠã¿ããã
$$5 + 3 = 8$$
ããããŽã£ãã $8$ åã«ãªãããæ¡ä»¶ã«ã¡ãããšåã£ãŠãããã
ãšã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã®å€æ®µã $8$ åã§ãããŸæã£ãŠããã®ã $5$ åã ããããã®å·®ããããšäœåå¿
èŠãããšããããšã«ãªããã
åã¯ããããåŒãç®ã䜿ã£ãŠ $8 - 5 = 3$ ãšèšç®ãããã
åã®ç¢ºèªã§ã¯ãããŸæã£ãŠãã $5$ åã«ãã® $3$ åãè¶³ããš $5 + 3 = 8$ ã«ãªã£ãŠãã¡ããã©ããã®å€æ®µã«ãªããã
èšç®ã®çµæãšæ¡ä»¶ããŽã£ããäžèŽããŠãããããçã㯠$3$ åã§ééããªããã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-1979-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç®ãæ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | æ°ããããšã¯ã§ãããã©ãäŒã¿ã®äººããããšãã«ã©ããã£ãŠãã©ã£ã¡ãå€ããããèããã°ããã®ãåãããªãããããšããšã®äººæ°ã ããèŠãã°ããã®ããªïŒ | èµ€ãããŒã ã¯7人ã§ããã®ãã¡2人ãäŒã¿ã§ãã
éãããŒã ã¯9人ã§ããã®ãã¡5人ãäŒã¿ã§ãã
ä»ã詊åã«åºãŠãã人æ°ãå€ãã®ã¯ãã©ã¡ãã®ããŒã ã§ããã | ããšããšã®äººæ°ã ããèŠãŠå€æããããšãããã ããã§ããããã ãšãä»ã詊åã«åºãŠãã人æ°ããåãããªãããæ£è§£ã«ãã©ãçããªããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšã®äººæ°ãããäŒã¿ã®äººããåŒããŠãå®éã«è©Šåã«åºãŠãã人æ°ãåºãããšã ããæ°ãæ»ãã䜿ã£ãŠãäžç·ã«èããŠã¿ããã
ãŸãã¯èµ€ãããŒã ããã ãããšããšã¯ $7$ 人ããããã©ããã®ãã¡ $2$ 人ãäŒã¿ããšããããšã¯ã$7$ ãã $2$ ã€åãæ°ãæ»ããŠæ°ããã°ãããã ãã
$7$ ããæ»ã£ãŠã$6$ããã㊠$5$ã
ã€ãŸããèšç®åŒã«ãããš $7 - 2 = 5$ ã«ãªãããèµ€ãããŒã 㯠$5$ 人ã詊åã«åºãŠããããšã«ãªãã
次ã«éãããŒã ãèŠãŠã¿ãããããšããšã¯ $9$... | ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšã®äººæ°ã§ã¯ãªããä»ã詊åã«åºãŠãã人æ°ããåºãããšã ãã
èµ€ãããŒã ã¯ãããšããšã® $7$ 人ããäŒã¿ã® $2$ 人ãåŒã㊠$7 - 2 = 5$ 人ã
éãããŒã ã¯ãããšããšã® $9$ 人ããäŒã¿ã® $5$ 人ãåŒã㊠$9 - 5 = 4$ 人ã«ãªãã
ããã§ã詊åã«åºãŠãã人æ°ãæ¯ã¹ããš $5$ 人㚠$4$ 人ã ãããåã®ç¢ºèªã§ã¯ $5$ ã®ã»ãã倧ãããã
ã ããã詊åã«åºãŠãã人æ°ãå€ãã®ã¯èµ€ãããŒã ã ãã
çã: $\boxed{èµ€ãããŒã }$ |
jp-math-l01-385-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãŠãµã®ãããšãªã¹ãããã8ã¡ãŒãã«ã®ãšããã«ãããŽãŒã«ãç®æããŠèµ°ããŸããã
ãŠãµã®ããã¯ããŸã5ã¡ãŒãã«èµ°ãããã®ããš3ã¡ãŒãã«èµ°ããŸããã
ãªã¹ããã¯ããŸã4ã¡ãŒãã«èµ°ãããã®ããš3ã¡ãŒãã«èµ°ããŸããã
ã¡ããã©ãŽãŒã«ã«ãã©ãã€ããã®ã¯ãã©ã¡ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ããŽãŒã«ã®è·é¢ã ããä»å㯠$8$ ã¡ãŒãã«ã®ãšããã«ãããŽãŒã«ã«ããŽã£ãããã©ãã€ããã®ã¯èª°ããæ¢ãã°ããã
ãŸãã¯ãŠãµã®ããã®èµ°ã£ãè·é¢ã確èªããŠã¿ããã
ãŠãµã®ããã¯ãæåã« $5$ ã¡ãŒãã«èµ°ã£ãŠããã®ããš $3$ ã¡ãŒãã«èµ°ã£ããããåèšã¯
$$5 + 3 = 8$$
ã«ãªããã
ãŽãŒã«ã®è·é¢ã¯ $8$ ã¡ãŒãã«ã ã£ãããããŠãµã®ããã¯ã¡ããã©ãŽãŒã«ã«ãã©ãã€ããããšã«ãªããã
次ã«ãªã¹ããã®èµ°ã£ãè·é¢ãèŠãŠã¿ããã
ãªã¹ããã¯ãæåã« $4$ ã¡ãŒãã«èµ°ã£ãŠããã®ããš $3$ ã¡ãŒãã«èµ°ã£ããããåèšã¯
$$4 + 3 = 7$$
ã«ãªããã
ããã§ãŽãŒã«ã® $8$ ã¡ãŒãã«ãšæ¯èŒããŠã¿ããšã $7... | ãŸã泚ç®ãã¹ãç¹ã¯ããŽãŒã«ã®è·é¢ã $8$ ã¡ãŒãã«ã§ããããšã ãã
åã®ç¢ºèªã§ã¯ããŠãµã®ãããèµ°ã£ãè·é¢ã¯ $5 + 3 = 8$ ã¡ãŒãã«ã§ãã¡ããã©ãŽãŒã«ã®è·é¢ãšäžèŽããŠãããã
äžæ¹ã§ãªã¹ãããèµ°ã£ãè·é¢ãèšç®ãããš $4 + 3 = 7$ ã¡ãŒãã«ã«ãªããã
$7$ ã¡ãŒãã«ã§ã¯ãŽãŒã«ã® $8$ ã¡ãŒãã«ã«å±ããªãããããªã¹ããã¯ã¡ããã©ãŽãŒã«ã«ãã©ãã€ãããšã¯èšããªããã
ãã®ããã«ãèšç®ããŠæ¯èŒããã°ã¯ã£ããããããã ããçãã¯ãŠãµã®ããã ãã
çã: $\boxed{ãŠãµã®ãã}$ |
jp-math-l01-1955-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | é³¥ã7矜ããããšã¯æ°ãããããã©ããããã3矜ãé£ãã§ãã£ããšããã©ããã£ãŠèšç®ããã°ããã®ãåãããªããã | æšã®æã«é³¥ã7矜ãšãŸã£ãŠããŸããããã®ãã¡3矜ãé£ãã§ãããŸãããæã«æ®ã£ãŠããé³¥ã¯äœçŸœã§ããã | ãªãã»ã©ãæ°ãæ¹ã¯åãã£ãŠããããã©ãæ°ãæžãæã®èãæ¹ã«è¿·ã£ãŠãããã ãã倧äžå€«ãåãåãããããå°ããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ããé£ãã§ãã£ãããšããããšã¯ãããšããšããæ°ããæžã£ããšããããšã ããããããæã¯ãæã䜿ã£ãããæ°ãäžã€ãã€æ»ããŠæ°ãããããæ¹æ³ãäžçªç¢ºå®ã ãã
ããšããš $7$ 矜ããããããããã $3$ ååãæ°ãæ»ããŠã¿ãããã
$7$ ããäžã€æ»ããš $6$ã
ããäžã€æ»ããš $5$ã
ããã«ããäžã€æ»ããš $4$ã
ããã§ $3$ ååæ»ãããããã©ãçããæ°ã¯ $4$ ã ã
ãããåŒã§æžããšãåŒãç®ãšããéå
·ã䜿ã£ãŠ $7 - 3 = 4$ ãšãªããã ãã
ããã§äžåºŠãåã®èšç®ãæ£ããã... | ãŸã泚ç®ãã¹ãç¹ã¯ãé³¥ããé£ãã§ãã£ããããšã§ãå
šäœã®æ°ãæžã£ããšããããšã ããåã¯ããããããšããšã® $7$ 矜ãã $3$ ååã ãæ°ãæ»ããŠèããæ¹æ³ã§è§£ããã
$7$ ãã $3$ ãåŒãèšç®ããããšã
$$7 - 3 = 4$$
ãšãªããã
åã®ç¢ºèªã§ã¯ãæ®ã£ã $4$ 矜ã«é£ãã§ãã£ã $3$ 矜ãè¶³ãåããããš $4 + 3 = 7$ ã«ãªããããšã®æ°ãšãŽã£ããäžèŽãããã ãããèšç®ã¯æ£ããã§ããŠãããã
çã㯠$\boxed{4}$ 矜ã ãã |
jp-math-l01-1961-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ã³ã€ã³ã8æãã£ãŠã5æäœ¿ã£ãã®ã¯ããããã©âŠâŠæ®ããäœæã«ãªãã®ããã©ããã£ãŠèããã°ããã®ãåãããªãããå
šéšããäžåºŠæ°ãçŽãã°ããã®ããªïŒ | ã³ã€ã³ã8ææã£ãŠããŸãããèåãè²·ãã®ã«5æäœ¿ããŸãããæ®ãã®ã³ã€ã³ã¯äœæã§ããã | ãªãã»ã©ããŸã ãæžã£ãåŸã®æ°ããã©ããã£ãŠåºããè¿·ã£ãŠããã¿ããã ãã倧äžå€«ãåãåãããããå°ããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšæã£ãŠããæ°ãšããããããªããªã£ãæ°ã ãã
ããšããšã¯ $8$ æãã£ãããããããèåã« $5$ æäœ¿ã£ããšããããšã¯ãæã£ãŠããã³ã€ã³ãã $5$ æåããåãé€ããããšããããšã«ãªãã
ããã§ãæ°ãæ»ããšããèãæ¹ã䜿ã£ãŠã¿ããã
$8$ ããå§ããŠã䜿ã£ãåã ãæãæãããã«ããŠãã²ãšã€ãã€æ»ã£ãŠãããã ã
$8$ ãã $1$ ã€æ»ããš $7$ã
$2$ ã€æ»ããš $6$ã
$3$ ã€æ»ããš $5$ã
$4$ ã€æ»ããš $4$ã
$5$ ã€æ»ããš $3$ã
ããã§ $5$ æåã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããšããšæã£ãŠãã $8$ æããã䜿ã£ã $5$ æåãåãé€ãããšã ãã
åã¯ãããã $8$ ãã $5$ ã€åã ãæ°ãæ»ãèšç®ã ãšèŠããã
èšç®åŒã«ãããšã
$$8 - 5 = 3$$
ãšãªããã
åã®ç¢ºèªã§ã¯ããã® $3$ æã«ã䜿ã£ã $5$ æãè¶³ãåããããš $3 + 5 = 8$ ã«ãªããããšããšã®ææ°ãšãŽã£ããäžèŽãããã ããããã®çãã§ééããªããã
çã: $\boxed{3}$ æ |
jp-math-l01-1403-wrong | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | æææ¥ã¯7åã§ãæ°Žææ¥ã¯5åã ããã$7 - 5 = 2$ãçãã¯2åã§ãã | èªæžèšé²ã«ã次ã®ããã«æžããŠãããŸãã
æææ¥ïŒ7å
ç«ææ¥ïŒ3å
æ°Žææ¥ïŒ5å
æææ¥ã«èªãã æ¬ã¯ãç«ææ¥ã«èªãã æ¬ããäœåå€ãã§ããã | ãããããã ãšéããããã£ããèšç®ã¯åã£ãŠããã®ã«ãèŠãã¹ããšãããééããŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãåé¡ããäœãšäœãæ¯ã¹ãŠãããããšããããšã ã
åã¯æææ¥ãšæ°Žææ¥ãæ¯ã¹ãŠããŸã£ãããã©ãèãããŠããã®ã¯ãæææ¥ããšãç«ææ¥ãã®å·®ã ãããããåãéããªãããã«ãããã
ããã§æ¡ä»¶ãããäžåºŠç¢ºèªãããã
æææ¥ã«èªãã æ¬ã¯ $7$ åã
ç«ææ¥ã«èªãã æ¬ã¯ $3$ åã
åãæ±ããã®ã¯ããã®2ã€ã®æ°ã®å·®ã ãã
èšç®ããŠã¿ããã
$7 - 3 = 4$
ãããããã§äžåºŠæ€ç®ãããŠãããã
ç«ææ¥ã® $3$ åã«ãä»åºãã差㮠$4$ åãè¶³ããš $3 + 4 = 7$ ã«ãªãã
ãããã«æææ¥ã®åæ°ãšäžèŽãããã
ãšãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãæ¯ã¹ãçžæããç«ææ¥ãã§ããããšã ããæ°Žææ¥ã®æ°ã§ã¯ãªããæææ¥ã® $7$ åãšç«ææ¥ã® $3$ åã®å·®ãèŠãå¿
èŠããããã
åã®èšç®ã§ã¯ã $7 - 3 = 4$ ãšãªããã
確èªãããšãç«ææ¥ã® $3$ åã« $4$ åãè¶³ãã°ãã¡ãããšæææ¥ã® $7$ åã«ãªãã
ã ããçã㯠$\boxed{4 \text{å}}$ ã ãã |
jp-math-l01-1838-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | èµ€ããŒã ã7ç¹ã§ãéããŒã ã4ç¹ãªã®ã¯åãããŸãããã§ãããäœç¹å€ãããã£ãŠããã®ãã©ãããããšãåãããŸãããå
šéšã§äœç¹ãèãããŠãããããè¶³ãç®ãããã°ããã®ããªïŒ | åŸç¹è¡šãèŠããšãèµ€ããŒã ã¯7ç¹ãéããŒã ã¯4ç¹ã§ãããèµ€ããŒã ã¯ãéããŒã ããäœç¹å€ãã§ããã | ãªãã»ã©ããããäžå®ãªãã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ããå
šéšã§äœç¹ããã§ã¯ãªããäœç¹å€ããããšèãããŠããããšã ããå
šéšã®ç¹æ°ãç¥ããããšãã¯è¶³ãç®ã䜿ãããã©ããå€ãéãããå°ãªãéããç¥ããããšãã¯ãäºã€ã®æ°ã®ãå·®ããèŠãå¿
èŠããããã ã
äŸãã°ãéããŒã ã®4ç¹ã«ãããšããã€è¶³ãã°èµ€ããŒã ã®7ç¹ã«è¿œãã€ãããäžç·ã«æ°ããŠã¿ãããã
4ã®æ¬¡ããæ°ãããšã5ã6ã7âŠâŠãã»ãã3åæ°ãããããã®ã3ãããããèµ€ããŒã ãéããŒã ããå€ãç¹æ°ãšããããšã«ãªããã ãã
ãããèšç®åŒã§è¡šããšã倧ããæ°ããå°ããæ°ãåŒãåŒãç®ã«ãªããã
èµ€ããŒã ã® $7$ ç¹ãããéããŒã ã® $4$ ç¹ãåŒããŠã¿ããã
... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãåèšã§ã¯ãªããäœç¹å€ããããšããå·®ã§ããããšã ãã
èµ€ããŒã 㯠$7$ ç¹ã§ãéããŒã 㯠$4$ ç¹ãåã¯ãã®å·®ãæ±ããããã«ã倧ããæ¹ã®æ°ããå°ããæ¹ã®æ°ãåŒãåŒãç®ã䜿ããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ç¹ã«ãªããã
ããã§åã®ç¢ºèªãšããŠãéããŒã ã® $4$ ç¹ã«ãã® $3$ ç¹ãè¶³ããŠãèµ€ããŒã ã® $7$ ç¹ã«ãªãã確ãããŠã¿ããã
$$4 + 3 = 7$$
ãããã«èšç®ãåãããã ãããèµ€ããŒã ã¯éããŒã ãã $3$ ç¹å€ããšããããšã§ééããªããã
çã: $\boxed{3\text{ç¹}}$ |
jp-math-l01-1155-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éãã㯠5ã¡ãŒãã« æ©ããŸãããæ¬¡éãã㯠8ã¡ãŒãã« æ©ããŸãããã©ã¡ãã®äººããäœã¡ãŒãã«å€ãæ©ãããçããªããã | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®æ©ããè·é¢ãæ¯ã¹ãããšã ãã
倪éãã㯠$5$ ã¡ãŒãã«ã次éãã㯠$8$ ã¡ãŒãã«æ©ããã
ããã§ãã©ã¡ãã®æ°ã®æ¹ã倧ãããã確èªãããã
$8$ 㯠$5$ ããã倧ãããããå€ãæ©ããã®ã¯æ¬¡éããã ããããã¯ç°¡åã ã
次ã«ãã©ããããå€ãæ©ããããã€ãŸããã®å·®ãæ±ãããã
åã¯ããããåŒãç®ã§èãããã
$$8 - 5 = 3$$
èšç®ãããš $3$ ã«ãªã£ãã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
倪éããã® $5$ ã¡ãŒãã«ã«ã差㮠$3$ ã¡ãŒãã«ãè¶³ããšã
$$5 + 3 = 8$$
ã¡ãããšæ¬¡éããã®è·é¢ã«ãªããã
åã®ç¢ºèªã§ã¯ãããã§ééãã¯ãªããã
ãšããããã§ãçãã¯... | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®æ©ããè·é¢ã®å€§ãããæ¯ã¹ãããšã ãã
倪éããã® $5$ ã¡ãŒãã«ã𿬡éããã® $8$ ã¡ãŒãã«ãæ¯ã¹ããšã $8$ ã®æ¹ã倧ãããããå€ãæ©ããã®ã¯æ¬¡éããã ãã
次ã«ãã©ãã ãå€ãæ©ããããšããå·®ãèšç®ãããã
$$8 - 5 = 3$$
åã®ç¢ºèªã§ã¯ãèšç®çµæã¯ $3$ ã¡ãŒãã«ã«ãªãã
ãããã«ã倪éããã® $5$ ã¡ãŒãã«ã«ãã® $3$ ã¡ãŒãã«ãè¶³ãã°ã次éããã® $8$ ã¡ãŒãã«ã«ãŽã£ããåããããããã§ééããªããã
ã ããçãã¯ã次éããã $3$ ã¡ãŒãã«å€ãæ©ãããã«ãªããã
çã: $\boxed{次éããã 3 \text{ã¡ãŒãã«å€ãæ©ãã}}$ |
jp-math-l01-565-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éããã¯ããŸã2ã¡ãŒãã«æ©ããŸããããã®ããšãããã«3ã¡ãŒãã«æ©ããŸããã
倪éãããæ©ããå
šéšã®é·ãã¯ã5ã¡ãŒãã«ãš6ã¡ãŒãã«ã®ã©ã¡ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã倪éããããå
šéšã§ãã©ãã ãæ©ããããšããããšã ãã
äžåºŠã«æ©ããã®ã§ã¯ãªããäºåã«åããŠæ©ããŠãããããããããã®é·ããåãããå¿
èŠããããã
ãŸããæåã«æ©ããè·é¢ã¯ $2$ ã¡ãŒãã«ã
ãã®ããšã«ãããã« $3$ ã¡ãŒãã«æ©ãããã
å
šéšã®é·ããåºãã«ã¯ããã®äºã€ã®æ°ãè¶³ãã°ããã
èšç®ããŠã¿ããã
$2 + 3 = 5$
ããã§ãå
šéšã®é·ã㯠$5$ ã¡ãŒãã«ã ãšåãã£ããã
åé¡ã§ã¯ã$5$ ã¡ãŒãã«ãš $6$ ã¡ãŒãã«ã®ã©ã¡ããããèãããŠãããããåã®èšç®çµæã§ãã $5$ ã¡ãŒãã«ãæ£è§£ã«ãªããã
念ã®ããã確èªããŠããããã
å
šéšã§ $5$ ã¡ãŒãã«æ©ããŠããã®ãã¡æåã $2$ ã¡ãŒã... | ãŸã泚ç®ãã¹ãç¹ã¯ã倪éãããäºåã«åããŠæ©ããè·é¢ããå
šéšãã§èããããšã ãã
æåã«æ©ãã $2$ ã¡ãŒãã«ã«ããã®åŸã® $3$ ã¡ãŒãã«ãè¶³ããŠèãããã
èšç®ãããš $2 + 3 = 5$ ã«ãªããããå
šéšã®é·ã㯠$5$ ã¡ãŒãã«ã ãã
åã®ç¢ºèªã§ã¯ãå
šéšã® $5$ ã¡ãŒãã«ããæåã® $2$ ã¡ãŒãã«ãåŒããš $5 - 2 = 3$ ã¡ãŒãã«ã«ãªããåé¡ã®æ¡ä»¶ãšãŽã£ããäžèŽãããã
åè£ã«æãã£ãŠãã $6$ ã¡ãŒãã«ã¯ããã®èšç®çµæãšåããªãããæ£è§£ã§ã¯ãªããã
ãšããããã§ãçã㯠$5$ ã¡ãŒãã«ã§åã£ãŠãããã
çã: $\boxed{5\text{ã¡ãŒãã«}}$ |
jp-math-l01-1170-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æç©ã®æ°ã調ã¹ã衚ã«ããããã 3åãã¿ããã 7åãšæžããŠãããŸããããããšã¿ããã§ã¯ãã©ã¡ããäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®æç©ãäœåãããã ãã
ãããã $3$ åã§ãã¿ããã $7$ åã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ããå€ãããšããããšãã
$3$ ãš $7$ ãæ¯ã¹ããšãåœç¶ $7$ ã®æ¹ã倧ããããã
ã ãããå€ãã®ã¯ãã¿ãããã®æ¹ã ã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ããŠã¿ããã
å€ãæ¹ã®ã¿ããã®æ°ãããå°ãªãæ¹ã®ãããã®æ°ãåŒãã°ããã
åŒã«ãããš $7 - 3 = 4$ ã«ãªããã
æåŸã«ããã®çµæãæ£ããã確èªããŠããããã
å°ãªãæ¹ã®ããã $3$ åã«ã差㮠$4$ åãè¶³ããš $3 + 4 = 7$ åã
ã¡ãããšã¿ããã®æ°ãšäžèŽãããã
åã®ç¢ºèªã§ã¯ãããã§ééãã¯ãªããã
çã... | ãŸã泚ç®ãã¹ãç¹ã¯ããããã $3$ åã§ã¿ããã $7$ åãšããæ°ã ãã
ãã®äºã€ãæ¯ã¹ããš $7$ ã®æ¹ã倧ãããããå€ãã®ã¯ã¿ããã ãšåãããã
åã®èŠæ¹ã§ã¯ãã©ããããå€ãããç¥ãã«ã¯åŒãç®ã䜿ãã°ããã
$7 - 3 = 4$ ãšèšç®ããŠã差㯠$4$ åã«ãªããã
確èªãããšããããã® $3$ åã« $4$ åãè¶³ãã°ããããã«ã¿ããã® $7$ åã«ãªãã
ã ããçãã¯ãã¿ããã $4$ åå€ããã§åã£ãŠãããã
$\boxed{ã¿ããã 4åå€ã}$ |
jp-math-l01-1124-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã«ãããã 7 æ¬ãããŸããæçã« 2 æ¬äœ¿ããŸãããã®ããã®ã«ãããã®æ°ã¯ã4 æ¬ããå€ãã§ããããããšã 4 æ¬ããå°ãªãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãä»ã«ããããå
šéšã§äœæ¬ãã£ãŠãäœæ¬äœ¿ã£ããã ãã
æ¡ä»¶ã確èªãããšãã¯ããã«ã«ãããã $7$ æ¬ãã£ãŠããããã $2$ æ¬ã䜿ã£ããšããããšã«ãªãã
ã®ããã®æ°ãåºãã«ã¯ãåŒãç®ãããã°ããã
$7 - 2 = 5$
èšç®ãããšãã®ããã®ã«ããã㯠$5$ æ¬ã ãã
ããã§èãããŠããã®ã¯ããã®ã®ããã®æ°ã $4$ æ¬ããå€ããå°ãªããããšããããšã ã
åã®ç¢ºèªã§ã¯ãæ°ãäžããããŠã $4$ ã®æ¬¡ã¯ $5$ ã«ãªãããã$5$ 㯠$4$ ãã倧ããã
ã€ãŸãã$5 > 4$ ãšããããšã ãã
念ã®ãããããäžåºŠç¢ºèªããŠã¿ããã
$5$ æ¬ãã $1$ æ¬æžããã° $4$ æ¬ã«ãªããã$4$ æ¬ã« $1... | ãŸã泚ç®ãã¹ãç¹ã¯ãã®ããã®ã«ããããäœæ¬ããããšããããšã ãã
ã¯ããã« $7$ æ¬ãã£ãŠ $2$ æ¬äœ¿ã£ããããèšç®ãããš $7 - 2 = 5$ æ¬ã«ãªãã
ããã§èŠãã¹ããªã®ã¯ããã® $5$ æ¬ã $4$ æ¬ãšæ¯ã¹ãŠã©ãããç¶æ
ããšããããšã ã
åã®ç¢ºèªã§ã¯ã$5$ 㯠$4$ ããã倧ããæ°ã ããã$5 > 4$ ãšãªããã
ãããã«ãã®ããã® $5$ æ¬ã¯ $4$ æ¬ãã $1$ æ¬å€ãã
ã ããçãã¯ã$4$ æ¬ããå€ããã§ééããªããã
çã: $\boxed{4 \text{ æ¬ããå€ã}}$ |
jp-math-l01-685-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããã¡ãã®è»ã2ã»ã³ãé²ã¿ãŸããããã®ããšãããã«5ã»ã³ãé²ã¿ãŸãããè»ãé²ãã å
šéšã®é·ãã¯ã6ã»ã³ããš7ã»ã³ãã®ã©ã¡ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãè»ãã©ãåããããšããæ¡ä»¶ã ãã
æå㯠$2$ ã»ã³ãé²ãã§ããã®ããšããã« $5$ ã»ã³ãé²ãã ã
å
šéšã®é·ããç¥ããããã ãããããã¯è¶³ãç®ã§èããã°ãããã
èšç®ããŠã¿ããã
$2 + 5 = 7$
ããã§ãå
šéšã®é·ã㯠$7$ ã»ã³ãã ãšåãã£ããã
åé¡ã§ã¯ã$6$ ã»ã³ããš $7$ ã»ã³ãã®ã©ã¡ããããèãããŠããããã©ãåã®èšç®çµæã¯ $7$ ã»ã³ãã ãã ãããçã㯠$7$ ã»ã³ãã«ãªããã
念ã®ããã確èªããŠããããã
å
šéšã§ $7$ ã»ã³ãé²ãã ãšããŠãããšããé²ãã $5$ ã»ã³ããåŒããŠã¿ããã
$7 - 5 = 2$
ã¡ãããšæåã«é²ãã $2$ ã»ã³ãã«æ»ã£ããã
èšç®ã«éé... | ãŸã泚ç®ãã¹ãç¹ã¯ãè»ãé²ãã è·é¢ã®åèšãæ±ããããšã ãã
æåã« $2$ ã»ã³ãé²ã¿ã次㫠$5$ ã»ã³ãé²ãã ãããå
šéšã®é·ã㯠$2 + 5 = 7$ ã»ã³ãã«ãªãã
åè£ã«æãã£ãŠãã $6$ ã»ã³ããš $7$ ã»ã³ããæ¯ã¹ããšãåã®èšç®çµæãšäžèŽããã®ã¯ $7$ ã»ã³ãã®æ¹ã ãã
確èªã®ããã« $7 - 5 = 2$ ãšèšç®ããŠããæåã®è·é¢ã«æ»ãããééãã¯ãªããã
ã ããçã㯠$7$ ã»ã³ãã ãã
$\boxed{7\text{ã»ã³ã}}$ |
jp-math-l01-855-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããããã㯠3ã¡ãŒãã« æ©ããŸãããã¯ãªããã㯠8ã¡ãŒãã« æ©ããŸãããã©ã¡ãã®ã»ãã äœã¡ãŒãã« å€ã æ©ããã çããªããã | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººãããããã©ãã ãæ©ããããšããæ°å€ã®å€§ãããæ¯ã¹ãããšã ãã
ããããã㯠$3$ ã¡ãŒãã«ãã¯ãªããã㯠$8$ ã¡ãŒãã«ã
ããã§ã $3$ ãš $8$ ãæ¯ã¹ããšã $8$ ã®ã»ãã倧ããããšãåãããã ãããå€ãæ©ããã®ã¯ã¯ãªãããã®æ¹ã«ãªããã
次ã«ãã©ããããå€ãæ©ããããã€ãŸããã®ãå·®ããèšç®ããŠã¿ããã
åã¯ããããåŒãç®ã䜿ã£ãŠæ±ãããã
$$8 - 3 = 5$$
èšç®ãããš $5$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
ããããããæ©ãã $3$ ã¡ãŒãã«ã«ãä»åºãã差㮠$5$ ã¡ãŒãã«ãè¶³ããŠã¿ããã
$$3 + 5 = 8$$
ãŽã£ããã¯ãªãããã®æ©ããè·... | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®æ©ããè·é¢ã®å€§ãããæ¯ã¹ãããšã ãããããããã® $3$ ã¡ãŒãã«ãšã¯ãªãããã® $8$ ã¡ãŒãã«ãæ¯ã¹ããšã$8$ ã®ã»ãã倧ãããããå€ãæ©ããã®ã¯ã¯ãªãããã«ãªããã
次ã«ãã©ãã ãå€ãæ©ããããšããå·®ãæ±ããããã«ã $8 - 3 = 5$ ãšèšç®ãããåã®ç¢ºèªã§ã¯ããããããã® $3$ ã¡ãŒãã«ã«ãã®å·®ã® $5$ ã¡ãŒãã«ãè¶³ããš $3 + 5 = 8$ ã¡ãŒãã«ã«ãªãããŽã£ããã¯ãªãããã®è·é¢ãšäžèŽãããã
ã ããçãã¯ãã¯ãªãããã®ã»ãã $5$ ã¡ãŒãã«å€ãæ©ããããšããããšã§åã£ãŠãããã
$\boxed{ã¯ãªãããã®ã»ãã 5 ã¡ãŒãã«å€ãæ©ãã}$ |
jp-math-l01-1866-bridge | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | èµ€ãã²ãã $7$ ã»ã³ãã§ãéãã²ãã $2$ ã»ã³ãã ãããèµ€ãã²ãã®æ¹ãé·ãããšã¯ãããããã§ãããäœã»ã³ãé·ãããã£ãŠããã®ã¯ã©ããã£ãŠèããã°ããã®ããªïŒ | èµ€ãã²ãã 7 ã»ã³ããããŸããéãã²ãã 2 ã»ã³ããããŸããã©ã¡ãã®ã²ãããäœã»ã³ãé·ãã§ããã | ãŸãã¯ãã©ã¡ããé·ããåãã£ããšãããŸã§æ£è§£ã ãããããŸã§èŸ¿ãçããã®ã¯ããåŸåã ãã
ãããããäœã»ã³ãé·ããããèããã«ã¯ãäºã€ã®æ°ã®ãå·®ããèŠãå¿
èŠããããã ã
äŸãã°ãéãã²ããšåãé·ãã® $2$ ã»ã³ãåããèµ€ãã²ãã®äžããåãé€ããŠããããæ®ã£ãéšåãããŸãã«ãèµ€ãã²ããéãã²ãããé·ãåãã«ãªãã¯ãã ãã
å
·äœçã«èããŠã¿ããã
èµ€ãã²ã㯠$7$ ã»ã³ããããããéãã²ãã®é·ãã§ãã $2$ ã»ã³ãåãåŒããŠã¿ããã
èšç®åŒã«ãããšãããªããã
$$7 - 2 = 5$$
ããã§ãèµ€ãã²ãã®æ¹ã $5$ ã»ã³ãé·ãããšãåãã£ããã
念ã®ãããåãæ€ç®ããŠç¢ºèªããŠããããã
éãã²ãã® $2$ ã»ã³ãã«ãä»åº... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ã²ããé·ãããšããããšã ããèµ€ãã²ã㯠$7$ ã»ã³ããéãã²ã㯠$2$ ã»ã³ãã ãããæ°ã®å€§ãããæ¯ã¹ããš $7$ ã®æ¹ã倧ãããã ãããé·ãã®ã¯èµ€ãã²ãã«ãªããã
次ã«ãã©ããããé·ãããšãããå·®ããæ±ããããåã®èŠæ¹ã§ã¯ãããã¯åŒãç®ã䜿ã£ãŠèšç®ããã®ãäžçªãã£ãããããã
$$7 - 2 = 5$$
èšç®ãããš $5$ ã«ãªããã
åã®ç¢ºèªã§ã¯ãéãã²ãã® $2$ ã»ã³ãã«ãã® $5$ ã»ã³ããè¶³ããš $2 + 5 = 7$ ã»ã³ãã«ãªããã¡ããã©èµ€ãã²ãã®é·ããšäžèŽãããã ãããããã§ééããªãæ£è§£ã ãã
çã: èµ€ãã²ãã $\boxed{5}$ ã»ã³ãé·ã |
jp-math-l01-272-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | å
çãããããããã«ã·ãŒã«ã6ãŸããã¯ãªãããã«ã·ãŒã«ã4ãŸããããŸããããããããã¯ãã¯ãªãããããäœãŸãå€ãã·ãŒã«ãããããŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããããšã¯ãªããããããããäœãŸãã·ãŒã«ãããã£ããã ãã
ããããã㯠$6$ ãŸããã¯ãªããã㯠$4$ ãŸãã
ããã§èŠãã¹ããªã®ã¯ããäœãŸãå€ãããã£ããããšããå·®ã ãã
ãããããã® $6$ ãŸããšã¯ãªãããã® $4$ ãŸããæ¯ã¹ããšããããããã®æ¹ãå€ãããšãåãããã
åã¯ããããåŒãç®ã§å·®ãæ±ããåé¡ã ãšèŠããã
åŒã«ãããšã
$$6 - 4 = 2$$
ã«ãªãã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
ã¯ãªãããã® $4$ ãŸãã«ãããŸåºãã差㮠$2$ ãŸããè¶³ããŠã¿ããšã
$$4 + 2 = 6$$
ãšãªã£ãŠãã¡ãããšãããããã®æ°ã«äžèŽãããã
åã®ç¢ºèªã§ã¯ãããã§ééãã¯... | ãŸã泚ç®ãã¹ãç¹ã¯ããããããã® $6$ ãŸããšã¯ãªãããã® $4$ ãŸãã®å·®ãæ±ããããšã ãã
åã¯ãããã倧ããæ°ããå°ããæ°ãåŒãåé¡ã ãšèŠããã
èšç®ãããšã
$$6 - 4 = 2$$
ã«ãªããã
åã®ç¢ºèªã§ã¯ãã¯ãªãããã® $4$ ãŸãã«ãã® $2$ ãŸããè¶³ãã°ããããããã® $6$ ãŸãã«ãªããããèšç®ã¯ãŽã£ããåã£ãŠãããã
ã ããçã㯠$\boxed{2\text{ãŸã}}$ ã ãã |
jp-math-l01-1772-check | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | çã㯠2 æã ãšæããŸãã8 æãã 3 æããããããããŸæã£ãŠããã®ã¯ 5 æã§ãããããããã 3 æãåŒããš 2 æã«ãªããšæã£ããã§ããã©âŠâŠããã§åã£ãŠããŸããïŒ | æå®€ã§ãããåãã·ãŒã«ã 8 ææã£ãŠããŸããããã®ãã¡ 3 æãåã ã¡ã«ãããŸããã
ããŸæã£ãŠããã·ãŒã«ã®æ°ã¯ãåã ã¡ã«ãããã·ãŒã«ã®æ°ãããããã€å€ãã§ããã | ãµãµããèªä¿¡ãªãããã«ããŠããããã©ãèãæ¹ã¯å®ç§ã ããæ£è§£ãã
åãæ¹ããŠãæ¡ä»¶ãæŽçããªãã確èªããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããŸæã£ãŠããã·ãŒã«ã®æ°ã ãã
ã¯ããã« $8$ æãã£ãŠããããã $3$ æãããããã ãããããŸæã£ãŠããæ°ã¯
$$8 - 3 = 5$$
ã§ã $5$ æã«ãªããããã¯åã®èšç®éãã ãã
次ã«ãèãããŠããéã確èªãããã
ãããŸæã£ãŠããã·ãŒã«ã®æ°ããããåã ã¡ã«ãããã·ãŒã«ã®æ°ãããããã€å€ããããšããããšã ãã
ããŸæã£ãŠããã®ã¯ $5$ æã§ããããã®ã¯ $3$ æã
ãã® 2 ã€ã®æ°ã®å·®ãèŠããããèšç®åŒã¯
$$5 - 3 = 2$$
ã«ãªããã
æåŸã«ããã®çµæãæ£ãããæ€... | ãŸã泚ç®ãã¹ãç¹ã¯ãããŸæã£ãŠããã·ãŒã«ã®æ°ã ããã¯ããã« $8$ æãã£ãŠ $3$ æããããããããŸæã£ãŠããã®ã¯ $8 - 3 = 5$ æã«ãªãã
ããã§èŠãã¹ããªã®ã¯ããã®ãããŸæã£ãŠãã $5$ æããšãããã $3$ æãã®å·®ã ããåã®èšç®ã§ã¯ $5 - 3 = 2$ ãšãªããããããŸæã£ãŠããæ°ã®æ¹ã $2$ æå€ãããšã«ãªããã
確èªãããšãããã $3$ æã«å·®ã® $2$ æãè¶³ãã°ãããŸæã£ãŠãã $5$ æã«ãŽã£ããåãããã ããçã㯠$2$ æã§åã£ãŠãããã
çã: $\boxed{2\text{æ}}$ |
jp-math-l01-1836-bridge | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | é»è²ãã²ãã $9$ ã§ãéãã²ãã $4$ ã ãããé»è²ãã»ãã倧ããããšã¯ããããïŒã§ãããäœã»ã³ãã¡ãŒãã«é·ãããã£ãŠããã®ã¯ãã©ããã£ãŠèããã°ããã®ããªïŒ | éãã²ãã 4 ã»ã³ãã¡ãŒãã«ãããŸããé»è²ãã²ãã 9 ã»ã³ãã¡ãŒãã«ãããŸããã©ã¡ãã®ã²ãããäœã»ã³ãã¡ãŒãã«é·ãã§ããã | ãŸãã¯ãã©ã¡ããé·ããåãã£ããšãããŸã§ãæ£è§£ã ãããããããã©ããããé·ããããšããå·®ãæ±ããèãæ¹ã«é²ãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãåäœãã©ã¡ãããã»ã³ãã¡ãŒãã«ãã§æã£ãŠããããšã ããåäœãåããªãããã®ãŸãŸæ°ã®å€§ãããæ¯ã¹ãã°ããã
ããã§èŠãã¹ããªã®ã¯ã倧ããæ¹ã®æ°ããå°ããæ¹ã®æ°ãåŒãããå·®ãã ãã
é»è²ãã²ãã $9$ ã»ã³ãã¡ãŒãã«ã§ãéãã²ãã $4$ ã»ã³ãã¡ãŒãã«ã
ãã®å·®ãæ±ããããã«ãåŒãç®ã䜿ã£ãŠã¿ããã
$$9 - 4 = 5$$
èšç®ãããš $5$ ã«ãªã£ããã
ãã® $5$ ãšããæ°åããé»è²ãã²ããéãã²ãããã©ãã ãé·ããã瀺ããŠãããã ãã
念ã®ãããåã®ããæ¹ã§åã£ãŠããã確èªããŠ... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ã²ããåäœããã»ã³ãã¡ãŒãã«ãã§æã£ãŠããããšã ããã ãããåçŽã«æ°ã®å€§ãããæ¯ã¹ãããšã§ãé»è²ãã²ãã® $9$ ã»ã³ãã¡ãŒãã«ããéãã²ãã® $4$ ã»ã³ãã¡ãŒãã«ãã倧ããããšãåããã
ããã§èŠãã¹ããªã®ã¯ããã®ãå·®ããã©ããããããšããããšã ããåã¯ãããã倧ããæ¹ããå°ããæ¹ãåŒãèšç®ã§èãããã
$$9 - 4 = 5$$
åã®ç¢ºèªã§ã¯ããã®çµæã«éãã²ãã® $4$ ã»ã³ãã¡ãŒãã«ãè¶³ããš $4 + 5 = 9$ ãšãªããã¡ãããšé»è²ãã²ãã®é·ãã«äžèŽãããã ãããèšç®ã¯ããã§ééããªããã
ãšããããã§ãçãã¯é»è²ãã²ãã®ã»ãã $5$ ã»ã³ãã¡ãŒãã«é·ãããšãªããã
çã: $\... |
jp-math-l01-588-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããããããš ã¯ãªãããã ã²ãŒã ãããŸãããããããã㯠4ç¹ãã¯ãªããã㯠7ç¹ã§ãããã©ã¡ãã®äººã äœç¹ å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããããšã¯ãªãããã®ç¹æ°ãæ¯ã¹ãããšã ãã
ããããã㯠$4$ ç¹ãã¯ãªããã㯠$7$ ç¹ã
ããã§ãã©ã¡ãã®æ°ã®æ¹ã倧ãããã確èªããŠã¿ããã
$4$ ãš $7$ ãæ¯ã¹ããšã $7$ ã®æ¹ã倧ãããã
ã ãããç¹æ°ãå€ãã®ã¯ã¯ãªãããã®æ¹ã ã
次ã«ãã©ããããå€ãããã€ãŸããã®å·®ãèšç®ãããã
åã¯ããããåŒãç®ã§èãããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
æåŸã«ããã®çµæãæ£ããã確èªããŠãããã
ç¹æ°ãå°ãªããããããã® $4$ ç¹ã«ã差㮠$3$ ç¹ãè¶³ããŠã¿ããã
$$4 + 3 = 7$$
ãããã«ã¯ãªãããã®ç¹æ°ãšãŽã£ããåããã
ãšããããã§ãåã®ç¢º... | ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®ç¹æ°ã®å€§ãããæ¯ã¹ãããšã ãã
ãããããã® $4$ ç¹ãšã¯ãªãããã® $7$ ç¹ãæ¯ã¹ããšã $7$ ã®æ¹ã倧ãããããç¹æ°ãå€ãã®ã¯ã¯ãªãããã«ãªããã
ããã§èŠãã¹ããªã®ã¯ããã®ç¹æ°ã®å·®ã ãã
åã®èšç®ã§ã¯ã $7 - 4 = 3$ ãšãªãããã差㯠$3$ ç¹ã«ãªãã
確èªãããšããããããã® $4$ ç¹ã« $3$ ç¹ãè¶³ãã° $4 + 3 = 7$ ç¹ã«ãªãããããã«ã¯ãªãããã®ç¹æ°ãšäžèŽãããã
ã ããçãã¯ãã¯ãªãããã $3$ ç¹å€ããã§åã£ãŠãããã
çã: $\boxed{ã¯ãªãããã 3 ç¹å€ã}$ |
jp-math-l01-1598-wrong | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãããå㯠8ç¹ãããå㯠5ç¹ã ããã8 - 5 = 3ãçã㯠3ç¹å€ããïŒ | ã²ãŒã ã§ããããå㯠8ç¹ãã¯ãªããã㯠3ç¹ãããå㯠5ç¹ ãšããŸããããããåã¯ãã¯ãªããããã äœç¹ å€ãã§ããã | ãããããã ãšéãããã©ããèªã¿ééãããåããããªïŒ
ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããçžæã ããå顿ãããäžåºŠèŠãŠããããããããåã¯ãã¯ãªããããã äœç¹ å€ãã§ããããšæžããŠããããåãèšç®ã«äœ¿ã£ãã®ã¯ããåã®ç¹æ°ã ãã©ãããã§èŠãã¹ããªã®ã¯ã¯ãªãããã®ç¹æ°ãªãã ã
æ¡ä»¶ãæŽçããŠã¿ããã
ãããåã®ç¹æ°ã¯ $8$ ç¹ã
ã¯ãªãããã®ç¹æ°ã¯ $3$ ç¹ã
ããåã®ç¹æ°ã¯ $5$ ç¹ã
åãªããããã§ããåã®ç¹æ°ã¯äœ¿ããªããšå€æããããèãããŠããã®ã¯ããããåããšãã¯ãªããããã®å·®ã ãããã
ããããããæ£ããèšç®ãããŠã¿ããã
ãããåã® $8$ ç¹ãããã¯ãªãããã® $3$ ç¹ãåŒãã°ãããã ãã
$$8 - 3... | ãŸã泚ç®ãã¹ãç¹ã¯ã誰ãšèª°ãæ¯ã¹ãããšããããšã ããåã¯ããåã®ç¹æ°ã䜿ã£ãŠããŸã£ãããã©ãèãããŠããã®ã¯ããããåããšãã¯ãªããããã®å·®ã ãã
åã®ç¢ºèªã§ã¯ããããå㯠$8$ ç¹ãã¯ãªããã㯠$3$ ç¹ã ããããã®å·®ãæ±ããèšç®ã¯ $8 - 3 = 5$ ã«ãªããã
æ€ç®ããŠã¿ãŠããã¯ãªãããã® $3$ ç¹ã« $5$ ç¹ãè¶³ãã°ããããåã® $8$ ç¹ã«ãªããããããã§ééããªããã
ã ããçã㯠$5$ ç¹ã ãã
$\boxed{5\text{ç¹}}$ |
jp-math-l01-1994-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ã«ããããäœæ¬ãããã¯æ°ãããããã©ãã䜿ã£ãããšãã«äœæ¬æ®ã£ãŠããããã©ããã£ãŠæ¯ã¹ãã°ããã®ããããåãããªããã | ãæçã«äœ¿ãã«ããããçšæããŸããã
èµ€ãç¿ã«ã¯ã«ãããã 6 æ¬ããããã®ãã¡ 2 æ¬ã䜿ããŸããã
éãç¿ã«ã¯ã«ãããã 9 æ¬ããããã®ãã¡ 6 æ¬ã䜿ããŸããã
æ®ã£ãŠããã«ãããã®æ°ã¯ãã©ã¡ãã®ç¿ã®æ¹ãå€ãã§ããã | ãªãã»ã©ãæ°ãæ¹ã¯åãã£ãŠãããã ãããããªã倧äžå€«ãåãäžå¯§ã«å°ããŠããããã
ãŸã泚ç®ãã¹ãç¹ã¯ãã䜿ã£ãããšããããšã®æå³ã ããããšããšãã£ãæ°ããã䜿ã£ãåã ãããåãé€ãããšèããã°ãããããã¯ãæ°ãæ»ããããããšãšåããªãã ãã
ãŸãã¯èµ€ãç¿ããèŠãŠã¿ããã
ããšããš $6$ æ¬ãã£ãŠããããã $2$ æ¬äœ¿ã£ããã
$6$ ãã $2$ ã€åãæãæã£ãŠæ°ãæ»ããŠã¿ããã
$6$ ã®æ¬¡ã¯ $5$ããã®æ¬¡ã¯ $4$ã
ã€ãŸããèšç®åŒã«ãããš $6 - 2 = 4$ ã«ãªããã
èµ€ãç¿ã«æ®ã£ãŠããã®ã¯ $4$ æ¬ã ã
次ã«ãéãç¿ã«ã€ããŠãåãããã«èããŠã¿ããã
ããšããš $9$ æ¬ãã£ãŠããããã $6$ æ¬äœ¿ã£... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ç¿ã«äœæ¬æ®ã£ãŠããããåºãããšã ãã
èµ€ãç¿ã¯ $6$ æ¬ãã $2$ æ¬äœ¿ã£ãããã $6 - 2 = 4$ æ¬ã
éãç¿ã¯ $9$ æ¬ãã $6$ æ¬äœ¿ã£ãããã $9 - 6 = 3$ æ¬ã
ããã§èŠãã¹ããªã®ã¯ãæ®ã£ãæ°ã§ãã $4$ æ¬ãš $3$ æ¬ã®ã©ã¡ããå€ãããšããããšã ãã
åã®ç¢ºèªã§ã¯ $4 > 3$ ãªã®ã§ãèµ€ãç¿ã®æ¹ãå€ãæ®ã£ãŠããããšã«ãªããã
ã ããçã㯠$\boxed{èµ€ãç¿}$ ã ãã | |
jp-math-l01-566-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éãã²ãã 8ã»ã³ããããŸããèµ€ãã²ãã 3ã»ã³ããããŸããéãã²ãã¯ãèµ€ãã²ãããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ã2ã€ã®ã²ãã®é·ãã ããéãã²ã㯠$8$ ã»ã³ããèµ€ãã²ã㯠$3$ ã»ã³ãã
ããã§èŠãã¹ããªã®ã¯ããäœã»ã³ãé·ããããšããå·®ã ãã
åã¯ããããåŒãç®ã§æ±ããåé¡ã ãšèŠããã
èšç®ããŠã¿ããã
$8 - 3 = 5$
ã«ãªããã
念ã®ãããåã®ããæ¹ã§åã£ãŠããã確èªããŠããããã
èµ€ãã²ãã® $3$ ã»ã³ãã«ãä»åºããçãã® $5$ ã»ã³ããè¶³ããš $3 + 5 = 8$ ã»ã³ãã
ã¡ãããšéãã²ãã®é·ããšäžèŽãããã
ãšããããã§ãåã®ç¢ºèªã§ã¯ããã§ééãã¯ãªããã
çã: $5$ ã»ã³ã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããã©ããããé·ããããšããå·®ã§ããããšã ãã
éãã²ãã $8$ ã»ã³ãã§ãèµ€ãã²ãã $3$ ã»ã³ãã ããããã®å·®ãæ±ããããã« $8 - 3 = 5$ ãšèšç®ãããã
åã®ç¢ºèªã§ã¯ãèµ€ãã²ãã® $3$ ã»ã³ãã« $5$ ã»ã³ããè¶³ãã° $3 + 5 = 8$ ã»ã³ãã«ãªããéãã²ãã®é·ããšãŽã£ããåããã
ã ããçã㯠$5$ ã»ã³ãã ãã
$\boxed{5\text{ã»ã³ã}}$ |
jp-math-l01-1424-wrong | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç®ãæ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | 9åãã4å䜿ã£ããããã®ããã¯6åã ããã ãã6åããå€ããå°ãªãããªããïŒ | ããŸãã9åãããŸããæçã«4å䜿ããŸãããã®ããã®ããŸãã®æ°ã¯ã6åããå€ãã§ãããå°ãªãã§ããã | ãããããã ãšéãããèšç®ãã²ãšã€ãããŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãããŸããå
šéšã§ $9$ åãã£ãŠããããã $4$ å䜿ã£ããšããããšã ãã
ã®ããã®æ°ãåºãã«ã¯ãåŒãç®ãããŠã¿ããã
$9 - 4 = 5$
åã®èšç®ã§ã¯ãã®ããã®ããŸã㯠$5$ åã«ãªããã
ããã§ãåé¡ã§èãããŠããã$6$ åããå€ããå°ãªãããã確èªããŠã¿ããã
ã®ããã®æ°ã¯ $5$ åãæ¯ã¹ãæ°ã¯ $6$ åã ãã
$5$ 㯠$6$ ãããå°ããæ°ã ãããã®ããã®ããŸã㯠$6$ åãããå°ãªããããšã«ãªããã
念ã®ãããæ€ç®ãããŠããããã
ã®ããã® $5$ åã«ã䜿ã£ã $4$ åãè¶³ããŠãããšã®æ°ã«æ»ãã確èªãããã
$5 + ... | ãŸã泚ç®ãã¹ãç¹ã¯ãã®ããã®ããŸããäœåã«ãªããã ãã
å
šéšã§ $9$ åããããããã $4$ å䜿ã£ããããèšç®ãããš $9 - 4 = 5$ åã«ãªããã
ããã§èŠãã¹ããªã®ã¯ããã® $5$ åã $6$ åãšæ¯ã¹ãŠã©ãããç¶æ
ããšããããšã ãã
åã®ç¢ºèªã§ã¯ã$5$ 㯠$6$ ãããå°ããæ°ã ãããã®ããã®ããŸã㯠$6$ åããå°ãªãããšã«ãªããã
ãããã«ãã®ããã® $5$ åã«äœ¿ã£ã $4$ åãè¶³ããš $5 + 4 = 9$ åã«ãªããããšã®æ°ãšãŽã£ããåããã
ã ããçã㯠$\boxed{å°ãªã}$ ã§ééããªããã |
jp-math-l01-1196-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | éããªãã³ã 7 ã»ã³ããããŸããèµ€ããªãã³ã¯ 4 ã»ã³ããããŸãã
éããªãã³ã¯ãèµ€ããªãã³ããäœã»ã³ãé·ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãéããªãã³ãèµ€ããªãã³ããäœã»ã³ãé·ããããšããã2ã€ã®é·ãã®å·®ãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããã
éããªãã³ã¯ $7$ ã»ã³ãã
èµ€ããªãã³ã¯ $4$ ã»ã³ãã
$7$ 㯠$4$ ããã倧ãããããéããªãã³ã®æ¹ãé·ãããšã¯ééããªããã
ãã®å·®ãåºãã«ã¯ãåŒãç®ã䜿ãã°ããã
èšç®ããŠã¿ããã
$$7 - 4 = 3$$
ããã§äžåºŠãåã®èšç®ãæ£ããã確èªããŠããããã
èµ€ããªãã³ã® $4$ ã»ã³ãã«ãä»åºãã差㮠$3$ ã»ã³ããè¶³ããŠã¿ããšã
$$4 + 3 = 7$$
ãšãªããã¡ãããšéããªãã³ã®é·ãã«äžèŽãããã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããèšç®ãæ£ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ããé·ãã®å·®ãã ãšããããšã ãã
éããªãã³ã $7$ ã»ã³ãã§ãèµ€ããªãã³ã $4$ ã»ã³ãã ããããã®å·®ãæ±ããããã«åŒãç®ãããŠã¿ããã
$$7 - 4 = 3$$
åã®ç¢ºèªã§ã¯ãèµ€ããªãã³ã® $4$ ã»ã³ãã«ãã® $3$ ã»ã³ããè¶³ããš $4 + 3 = 7$ ã»ã³ãã«ãªããã¡ãããšéããªãã³ã®é·ããšäžèŽãããã
ã ããçã㯠$3$ ã»ã³ãã§ééããªããã
çã: $\boxed{3\text{ ã»ã³ã}}$ |
jp-math-l01-864-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | æçã«äœ¿ãéèãæºåããŸããããããã4åãããŸããã7åãããŸããã©ã¡ãã®éèãäœåå€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®éèãäœåããããšããæ¡ä»¶ã ãã
ãããã $4$ åã§ãããŸããã $7$ åã
ããã§èŠãã¹ããªã®ã¯ãã©ã¡ãã®æ¹ãå€ãããšããããšãã
$4$ ãš $7$ ãæ¯ã¹ããšããããã« $7$ ã®æ¹ã倧ãããã
ã ãããå€ãã®ã¯ãããŸãããã®æ¹ã ã
ã§ã¯ãå
·äœçã«äœåå€ãã®ããèšç®ããŠã¿ããã
å€ãæ¹ã®æ°ããå°ãªãæ¹ã®æ°ãåŒãã°ãããããåŒã¯ãããªããã
$$7 - 4 = 3$$
èšç®çµæã¯ $3$ ã«ãªã£ããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠããããã
å°ãªãæ¹ã®ããã $4$ åã«ãããŸåºãã差㮠$3$ åãè¶³ããŠãããŸããã®æ°ã«ãªãã確èªãããã
$$4 + 3 = 7$$
ãŽã£ããäžèŽãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®éèã®æ°ã ãããããã $4$ åãããŸããã $7$ åãããããæ°ãæ¯ã¹ããš $7$ ã®æ¹ã倧ãããã ãããå€ãã®ã¯ããŸããã®æ¹ã ãšåãããã
次ã«ãã©ããããå€ãã®ããæ±ããããã«ãåã¯ãã®åŒãç®ã䜿ããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªããåã®ç¢ºèªã§ã¯ãå°ãªãæ¹ã® $4$ åã«ãã® $3$ åãè¶³ããš $4 + 3 = 7$ ã«ãªã£ãŠãããŸããã®æ°ãšãŽã£ããåããããããã§æ£è§£ã ãã
ã ããçãã¯ãããŸããã $3$ åå€ããã«ãªããã
$\boxed{ããŸããã 3 åå€ã}$ |
jp-math-l01-1848-bridge | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãããããã 7ç¹ãã¯ãªãããã 4ç¹ã ããããããããã®ã»ããç¹æ°ãå€ãããšã¯ãããããã§ãããäœç¹ãããããã£ãŠããã®ã¯ãã©ããã£ãŠèããã°ããã®ããªïŒ | ã²ãŒã ã§ãããããã㯠7ç¹ãã¯ãªããã㯠4ç¹ ãšããŸãããã©ã¡ãã®ã»ãããäœç¹ ãããã§ããã | ãªãã»ã©ããã©ã¡ããå€ãããŸã§åãã£ãŠãããªããããšããäžæ©ã ããåãäžå¯§ã«æããŠãããããããã£ããã€ããŠããŠãã
ãŸã泚ç®ãã¹ãç¹ã¯ããäœç¹ããããããšããã®ã¯ãäºã€ã®æ°ã®ãå·®ããæ¢ããšããããšã ãã
ãããããã® $7$ ç¹ãšã¯ãªãããã® $4$ ç¹ãæ¯ã¹ãŠãããããããã©ãã ããªãŒãããŠããããèŠãã°ãããã ãã
äžçªç°¡åãªèãæ¹ã¯ãã¯ãªãããã® $4$ ç¹ããå§ããŠããããããã® $7$ ç¹ãŸã§ããã€æ°ãäžãããããšããããšãã
$4$ ã®æ¬¡ããæ°ããŠã¿ããã
$5, 6, 7 \dots$ ãšã $3$ åæ°ãããã
ãããèšç®åŒã§æžããšãåŒãç®ã«ãªããã ãã
$$7 - 4 = 3$$
ããã§ããããããã®ã»ãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãã©ã¡ãã®ç¹æ°ãå€ãããšããããšã ããããããã㯠$7$ ç¹ãã¯ãªããã㯠$4$ ç¹ã ãããæ°ã®å€§ãããæ¯ã¹ããšãããããã®ã»ãã倧ãããã ããããããã®ã¯ãããããã ãã
次ã«ãã©ãããããããããšãããå·®ããæ±ããããåã¯ããããåŒãç®ã䜿ã£ãŠèšç®ãããã
$$7 - 4 = 3$$
åã®ç¢ºèªã§ã¯ãã¯ãªãããã® $4$ ç¹ã«ãã® $3$ ç¹ãè¶³ããš $4 + 3 = 7$ ç¹ã«ãªãããããããã®ç¹æ°ãšãŽã£ããäžèŽãããã
ãšããããã§ãçãã¯ãããããã®ã»ãã $3$ ç¹ããããã§ééããªããã
çã: ãããããã®ã»ãã $\boxed{3}$ ç¹ããã |
jp-math-l01-1653-check | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ã¯ãªãããã3åå€ããšæããã§ããã©âŠâŠåã£ãŠããŸããïŒ | ãããåã¯æ¬ã4åèªã¿ãŸãããã¯ãªãããã¯æ¬ã7åèªã¿ãŸãããã©ã¡ãã®äººããäœåå€ãæ¬ãèªã¿ãŸãããã | ãµãµããèªä¿¡ãªãããã«ããŠãããã©ãæ£è§£ã ããåãã¡ãããšç¢ºèªããŠããããããã©ãããŠãã®çãã«ãªãã®ãèŠãŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®èªãã æ¬ã®æ°ã ãã
ãããå㯠$4$ åãã¯ãªããã㯠$7$ åã
ããã§æ°ãæ¯ã¹ãŠã¿ããšã $7$ ã®ã»ãã $4$ ããã倧ãããããå€ãèªãã ã®ã¯ã¯ãªãããã§ééããªããã
次ã«ãã©ããããå€ãããã€ãŸããå·®ããèšç®ããŠã¿ããã
å€ãæ¹ã® $7$ åãããå°ãªãæ¹ã® $4$ åãåŒãã°ããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªããã
æåŸã«ããã®çµæãæ£ãããæ€ç®ããŠã¿ãããã
å°ãªãæ¹ã® $4$ åã«ã差㮠$3$ åãè¶³ããŠãå€ãæ¹ã® $7$ åã«æ»ãã... | åã®ç¢ºèªã§ããåã®çãã§åã£ãŠãããã
ãŸã泚ç®ãã¹ãç¹ã¯ãäºäººã®èªãã åæ°ã®æ¯èŒã ãããããåã® $4$ åã«å¯ŸããŠãã¯ãªããã㯠$7$ åã ãããæ°ãšããŠå€§ããã®ã¯ã¯ãªãããã®æ¹ã ãã
ãããŠãã©ãã ãå€ãããšããå·®ãæ±ããããã«ã $7 - 4 = 3$ ãšèšç®ããã確èªã®ããã«ãå°ãªãæ¹ã® $4$ åã«ãã® $3$ åãè¶³ããŠã¿ããš $4 + 3 = 7$ ã«ãªããã¡ãããšæ¡ä»¶ã«åãããšãåãããã
ã ããçãã¯ãã¯ãªãããã $3$ åå€ããã§ééããªããã
çã: $\boxed{ã¯ãªãããã 3 åå€ã}$ |
jp-math-l01-718-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã²ãŒã ã§ãããããã㯠7ç¹ãããããã㯠4ç¹ ãšããŸããããããããã ããããããš åãç¹æ°ã«ãªãããã«ã¯ãããš äœç¹ ãšãã°ããã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããããããããããããšãåãç¹æ°ãã«ãªãããã«ãããšäœç¹å¿
èŠããšããããšã ãã
ããã§æ¡ä»¶ã確èªããŠãããã
ããããã㯠$7$ ç¹ã
ããããã㯠$4$ ç¹ã
ãããããã®æ¹ãç¹æ°ãé«ããããããããããããšäœç¹ãšãã°ãããããã«è¿œãã€ããããã®å·®ãèããã°ããã
åã¯ããããåŒãç®ã§æ±ãããã
$$7 - 4 = 3$$
èšç®ãããš $3$ ã«ãªã£ããã
念ã®ããã確èªããŠã¿ããã
ãããããã® $4$ ç¹ã«ãããŸåºãã $3$ ç¹ãè¶³ããšã©ããªãããªã
$$4 + 3 = 7$$
ãããã«ãããããããšåã $7$ ç¹ã«ãªããã
èšç®ãæ¡ä»¶ããŽã£ããåã£ãŠãããã
ãš... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããããããããããšãåãç¹æ°ãã«ãªãããã®å·®ãæ±ããããšã ãã
ããããã㯠$7$ ç¹ã§ãããããã㯠$4$ ç¹ã ããããã®å·®ãèšç®ãããš $7 - 4 = 3$ ç¹ã«ãªãã
åã®ç¢ºèªã§ã¯ããããããã® $4$ ç¹ã«ãã® $3$ ç¹ãè¶³ãã° $4 + 3 = 7$ ç¹ã«ãªããããããããšãŽã£ããåãç¹æ°ã«ãªããã
ã ããçã㯠$3$ ç¹ã§ééããªããã
çã: $\boxed{3\text{ç¹}}$ |
jp-math-l01-1030-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 2ã€ã®æšã«æ¢ãŸã£ãŠããé³¥ã®æ°ããæ¬¡ã®ããã«ãŸãšããããŠããŸãã
ã»ããã²ã®æšïŒãããã2矜ãã«ã©ã¹ã3矜
ã»ã²ãªãã®æšïŒãããã3矜ãã«ã©ã¹ã3矜
å
šéšã§6矜ã®é³¥ãæ¢ãŸã£ãŠããã®ã¯ãã©ã¡ãã®æšã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããå
šéšã§ $6$ 矜ã®é³¥ãæ¢ãŸã£ãŠããã®ã¯ã©ã¡ãã®æšãããšããããšãã
ãŸãã¯ãããã²ã®æšã«æ¢ãŸã£ãŠããé³¥ã®æ°ãæ°ããŠã¿ããã
ãããã $2$ 矜ã§ãã«ã©ã¹ã $3$ 矜ã ãããåããããš
$$2 + 3 = 5$$
ããã²ã®æšã¯ $5$ 矜ã ããåãæ¢ããŠããã®ã¯ $6$ 矜ã ãããããã¯éããã
次ã«ãã²ãªãã®æšãèŠãŠã¿ããã
ãã¡ãã¯ãããã $3$ 矜ã§ãã«ã©ã¹ã $3$ 矜ã ãåããããš
$$3 + 3 = 6$$
ã¡ããã© $6$ 矜ã«ãªã£ããã
念ã®ãããããäžåºŠç¢ºèªããŠããããã
ããã²ã®æšã¯ $2 + 3 = 5$ã
ã²ãªãã®æšã¯ $3 + 3 = 6$ã
æ¡ä»¶ã®ãå
šéš... | ãŸã泚ç®ãã¹ãç¹ã¯ãå
šéšã§ $6$ 矜ã®é³¥ãæ¢ãŸã£ãŠããæšãæ¢ãããšã ãã
åãèšç®ããŠç¢ºèªããŠã¿ããã
ããã²ã®æšã¯ãããã $2$ 矜ãšã«ã©ã¹ $3$ 矜㧠$2 + 3 = 5$ 矜ã
ã²ãªãã®æšã¯ãããã $3$ 矜ãšã«ã©ã¹ $3$ 矜㧠$3 + 3 = 6$ 矜ã«ãªããã
åã®ç¢ºèªã§ã¯ãæ¡ä»¶ã® $6$ 矜ã«ãŽã£ããåã£ãŠããã®ã¯ã²ãªãã®æšã ãã ã
ã ããçãã¯ãã²ãªãã®æšã ãã
$\boxed{ã²ãªãã®æš}$ |
jp-math-l01-193-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ãããããã¯ã仿æ¬ã7åèªã¿ãŸããã
ããã¡ããã¯ã仿æ¬ã4åèªã¿ãŸããã
ããã¡ããããããããããšåãæ°ã ãæ¬ãèªãããã«ã¯ãããšäœåæ¬ãèªãã°ããã§ããããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã¡ããããããããããšåãæ°ãã«ãªãããã«ãããšäœåèªãã°ããããã€ãŸãäºäººã®å·®ãæ±ããåé¡ã ãšåã¯èŠããã
ããã§æ¡ä»¶ã確èªããŠãããã
ããããããèªãã æ¬ã¯ $7$ åã
ããã¡ãããèªãã æ¬ã¯ $4$ åã ãã
$7$ ãš $4$ ãæ¯ã¹ããšããããããã®æ¹ãå€ãããšãåããã
ããã¡ããããããããã«è¿œãã€ãã«ã¯ããã®å·®ã®åã ãæ¬ãèªãã°ããã£ãŠããšãã
èšç®ããŠã¿ããã
$$7 - 4 = 3$$
èšç®çµæã¯ $3$ ã«ãªã£ããã
ããã§äžåºŠãåã®ç¢ºèªãããŠã¿ããã
ããããã¡ãããããš $3$ åèªãã ãšããããå
šéšã§äœåã«ãªãããªã
$$4 + 3 = 7$$
ãã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã¡ãããããããããšåãæ°ã«ãªãããã«å¿
èŠãªãããšäœåãããšããå·®ãæ±ããåé¡ã ãšåã¯èŠããã
æ¡ä»¶ã確èªãããšãããããã㯠$7$ åãããã¡ãã㯠$4$ åèªãã§ãããã
ãã®å·®ãèšç®ãããšã
$$7 - 4 = 3$$
ãšãªããããããš $3$ åèªãã°ããããšã«ãªãã
åã®ç¢ºèªã§ã¯ãããã¡ããã® $4$ åã« $3$ åãè¶³ããš $4 + 3 = 7$ åã«ãªããã¡ãããšããããããšåãæ°ã«ãªããã
ã ããçã㯠$3$ åã§ééããªããã
çã: $\boxed{3\text{å}}$ |
jp-math-l01-743-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èªæžèšé²ã«ãŒãã«ãèªãã æ¬ã®æ°ãæžããŸããã
ãããåã®ã«ãŒãã«ã¯7åãšæžããŠãããŸãã
ã¯ãªãããã®ã«ãŒãã«ã¯4åãšæžããŠãããŸãã
ãããåã¯ãã¯ãªãããããäœåå€ãæ¬ãèªã¿ãŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããããåãšã¯ãªãããã®æ¬ã®æ°ãããããã®éã§ã¯ãªããŠããã©ãã ãå€ããããšããå·®ãæ±ããåé¡ã ãã
æ¡ä»¶ã確èªãããã
ãããå㯠$7$ åã
ã¯ãªããã㯠$4$ åã
åã¯ããããåŒãç®ã䜿ã£ãŠå·®ãåºãåé¡ã ãšèŠããã
ãããåã®æ°ãããã¯ãªãããã®æ°ãåŒããŠã¿ããã
$$7 - 4 = 3$$
èšç®çµæã¯ $3$ ã«ãªã£ããã
ããã§ãåã®èšç®ãæ£ããã確èªããŠãããã
ã¯ãªãããã® $4$ åã«ãä»åºãã差㮠$3$ åãè¶³ããŠããããåã® $7$ åã«æ»ããèŠãŠã¿ããã
$$4 + 3 = 7$$
ãããã«ããŽã£ãããããåã®æ°ã«ãªããã
æ¡ä»¶ã«ãåã£ãŠããããèšç®ã«é... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãããåãšã¯ãªãããã®æ¬ã®æ°ã®ãå·®ããæ±ããããããããåã® $7$ åããã¯ãªãããã® $4$ åãåŒããŠã$7 - 4 = 3$ åã«ãªããåã®ç¢ºèªã§ã¯ãã¯ãªãããã® $4$ åã«ãã® $3$ åãè¶³ããšããããã«ãããåã® $7$ åã«ãªããããèšç®ã¯ããã§ééããªãããã ããçã㯠$3$ åã ãã
çã: $\boxed{3\text{ å}}$ |
jp-math-l01-1984-bridge | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãã ãã®ãæ°ããããšã¯ã§ãããã©ããåãæ°ã ããã£ãŠããã®ãã©ãããããšãåãããªãããå
šéšã§ããã€ãããèšç®ããæ¹æ³ãåãããªããã | ãæçã®ææãæºåããŸãã
ãããã 2 åçšæããŸããã
ã¿ããããããããšåãæ°ã ãçšæããŸããã
ããã«ããªãã 3 åçšæããŸããã
ãã ãã®ã¯å
šéšã§äœåãããŸããã | ãªãã»ã©ããããäžå®ãªãã ãã倧äžå€«ãåãäžå¯§ã«æããŠããããããŸãã¯ãåãæ°ã ãããšããèšèã®æå³ããæŽçããŠã¿ããã
ãŸã泚ç®ãã¹ãç¹ã¯ããããã®æ°ã ããåé¡ã«ã¯ããããã $2$ åçšæããããšæžããŠãããããã¯ã·ã³ãã«ã« $2$ åã ãã
次ã«ãã¿ããã®æ°ã«ã€ããŠèŠãŠã¿ããããã¿ããããããããšåãæ°ã ãçšæããããšãããããã®ãåãæ°ã ãããšããã®ã¯ããããã $2$ åãªããã¿ãããå
šãåã $2$ åãããšããããšãªãã ããã ãããã¿ããã®æ°ã $2$ åã«ãªããã
ãããŠããªã㯠$3$ åçšæãããšæžããŠããããããŸã§ã®æ
å ±ãæŽçãããšããããªããã
ãããïŒ$2$ å
ã¿ããïŒ$2$ å
ãªãïŒ$3$ å
... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®ãã ãã®ã®æ°ã ãããããã $2$ åã§ãã¿ããã¯ãåãæ°ã ããã ããã¿ããã $2$ åããããŠãªãã $3$ åãããšããããšã«ãªãã
ããã§ãå
šéšã®æ°ãåãããŠèšç®ããŠã¿ããã
ãŸããããããšã¿ãããåããããš $2 + 2 = 4$ åã
ããã«ããªãã® $3$ åãè¶³ããš $4 + 3 = 7$ åã«ãªããã
åã®ç¢ºèªã§ã¯ãæ°ãäžããããŠã $1, 2, 3, 4, 5, 6, 7$ ãšãªããã¡ãããšæ¡ä»¶ã«åã£ãŠãããã
ã ããçã㯠$7$ åã§ééããªããã
çã: $\boxed{7}$ å |
jp-math-l01-1007-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | çç§ã®å®éšã§ã1ã€ãã®æ€æšé¢ã§ã¯7ã€ã®çš®ãèœãåºãã2ã€ãã®æ€æšé¢ã§ã¯3ã€ã®çš®ãèœãåºããŸããã1ã€ãã®æ€æšé¢ã¯ã2ã€ãã®æ€æšé¢ãããããã€å€ãèœãåºãŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®æ€æšé¢ã§èœãåºãæ°ã ãã
1ã€ãã®æ€æšé¢ã¯ $7$ ã€ã2ã€ãã®æ€æšé¢ã¯ $3$ ã€ã
ããã§èŠãã¹ããªã®ã¯ããããã€å€ãèœãåºããããšããå·®ã ãã
åã¯ããããåŒãç®ã®åé¡ãšããŠèãããã
èšç®ããŠã¿ããã
$$7 - 3 = 4$$
çµæã¯ $4$ ã«ãªã£ããã
念ã®ãããåã®ããæ¹ã§æ€ç®ããŠãããã
2ã€ãã®æ€æšé¢ã® $3$ ã€ã«ãããŸåºãã差㮠$4$ ã€ãè¶³ããŠã1ã€ãã®æ€æšé¢ã® $7$ ã€ã«æ»ãã確èªãããã ã
$$3 + 4 = 7$$
ãŽã£ããåããã
ãšããããã§ãèšç®ã«ééãã¯ãªããã
çã㯠$4$ ã€ã ãã
çã: $4$ 〠| ãŸã泚ç®ãã¹ãç¹ã¯ã1ã€ãã®æ€æšé¢ã $7$ ã€ã2ã€ãã®æ€æšé¢ã $3$ ã€èœãåºãããšããããšã ãã
èãããŠããã®ã¯ãããã€å€ãèœãåºããããšããå·®ã ãããåã¯ããã $7 - 3 = 4$ ãšããåŒãç®ã§èãããã
åã®ç¢ºèªã§ã¯ã$3$ ã€ã« $4$ ã€ãè¶³ãã°ã¡ãããš $7$ ã€ã«æ»ããããèšç®ã¯ããã§ééããªããã
ã ããçã㯠$4$ ã€ãã
çã: $\boxed{4\text{ã€}}$ |
jp-math-l01-1253-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®åŒãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | èªæžèšé²ã«ããããããã¯æ¬ã7åèªã¿ããããããã¯æ¬ã3åèªã¿ãŸããããããããã¯ããããããããäœåå€ãæ¬ãèªã¿ãŸãããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããããããããããããããäœåå€ãèªãã ãããç¥ããããã ãããããã¯äºäººã®èªãã åæ°ã®å·®ãæ±ããåé¡ã ãšèŠããã
æ¡ä»¶ã確èªãããã
ããããããèªãã ã®ã¯ $7$ åã
ããããããèªãã ã®ã¯ $3$ åã
$7$ 㯠$3$ ãã倧ãããããåŒãç®ã䜿ã£ãŠå·®ãåºãã°ãããã
èšç®ããŠã¿ããã
$$7 - 3 = 4$$
ããã§äžåºŠãåã®èšç®ãåã£ãŠããã確èªããŠãããã
ãããããã® $3$ åã«ãä»åºãã差㮠$4$ åãè¶³ããŠããããããã® $7$ åã«æ»ããèŠãŠã¿ããã
$$3 + 4 = 7$$
ãŽã£ããåããã
ãšããããã§ããããããã¯ããããããã $4$ åå€ã... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããããããããããããããäœåå€ãèªãã ãããšããå·®ãæ±ããåé¡ã ãããåã¯ãããåŒãç®ã§è§£ããã
æ¡ä»¶ãèŠããšãããããã㯠$7$ åãããããã㯠$3$ åèªãã§ãããã
ãã®å·®ãèšç®ãããšã
$$7 - 3 = 4$$
ãšãªãã
åã®ç¢ºèªã§ã¯ããããããã® $3$ åã«ãã® $4$ åãè¶³ããš $3 + 4 = 7$ åã«ãªãããããããã®åæ°ãšãŽã£ããäžèŽãããã ããçã㯠$4$ åã§åã£ãŠãããã
çã: $\boxed{4\text{å}}$ |
jp-math-l01-858-solve | 1 | å°åŠæ ¡1幎 | æ°ã®å€§å°æ¯èŒ | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | 倪éããã¯ã²ãŒã ã§2ç¹ãšããŸãããè±åããã¯5ç¹ãšããŸãããè±åããã¯å€ªéããããäœç¹å€ãã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããããã§ã¯ãè±åããã倪éããããäœç¹å€ããããšãããäºã€ã®æ°ã®å·®ãæ±ããå¿
èŠããããã
æ¡ä»¶ã確èªãããšã倪éãã㯠$2$ ç¹ãè±åãã㯠$5$ ç¹ã ãã
è±åããã®æ¹ãç¹æ°ãé«ããããè±åããã®ç¹æ°ãã倪éããã®ç¹æ°ãåŒããŠããã®å·®ãèšç®ããŠã¿ããã
$$5 - 2 = 3$$
èšç®ã®çµæã¯ $3$ ã«ãªã£ããã
ããã§ãåã®ããæ¹ãæ£ãããæ€ç®ããŠã¿ããã
倪éããã® $2$ ç¹ã«ãä»åºãã差㮠$3$ ç¹ãè¶³ããŠãè±åããã® $5$ ç¹ã«æ»ãã確èªããã°ããã
$$2 + 3 = 5$$
ãããã«ããŽã£ãã $5$ ç¹ã«ãªããã
èšç®ã«ééãã¯ãªãããæ¡ä»¶ã«ããã£ããåã£ãŠ... | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããã®ãåèšã§ã¯ãªããç¹æ°ã®å·®ãã ãšããããšã ãã
è±åãã㯠$5$ ç¹ã倪éãã㯠$2$ ç¹ã ãããåã¯ãã®å·®ãæ±ããããã«åŒãç®ã䜿ããã
$$5 - 2 = 3$$
åã®ç¢ºèªã§ã¯ããã® $3$ ç¹ãšããçãã« $2$ ç¹ãè¶³ããš $2 + 3 = 5$ ã«ãªããã¡ãããšè±åããã®ç¹æ°ãšäžèŽãããã
ã ããçã㯠$3$ ç¹ã§ééããªããã
çã: $\boxed{3\text{ç¹}}$ |
jp-math-l01-250-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ã¯ãªãããšããããããæã£ãŠããã·ãŒã«ã®æ°ã調ã¹ãŸããã
ã¯ãªããã¯ãèµ€ãã·ãŒã«ã3æãéãã·ãŒã«ã2ææã£ãŠããŸãã
ãããããã¯ãèµ€ãã·ãŒã«ã2æãéãã·ãŒã«ã1ææã£ãŠããŸãã
å
šéšã§5æã®ã·ãŒã«ãæã£ãŠããã®ã¯ãã©ã¡ãã®äººã§ããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ããä»åã¯ãå
šéšã§5æã®ã·ãŒã«ãæã£ãŠããã®ã¯èª°ãããšããããšã ãããã¯ãªãããšããããããããããã®åèšææ°ãåºãå¿
èŠããããã
ãŸãã¯ã¯ãªããã®ã·ãŒã«ãæ°ããŠã¿ããã
èµ€ãã·ãŒã«ã $3$ æã§ãéãã·ãŒã«ã $2$ æã
ãããåããããšã
$$3 + 2 = 5$$
ã«ãªãããã¡ããã© $5$ æã ã
次ã«ããããããã®ã·ãŒã«ã確èªããŠãããã
èµ€ãã·ãŒã«ã $2$ æã§ãéãã·ãŒã«ã $1$ æã
åããããšã
$$2 + 1 = 3$$
ã«ãªããã
ããã§æ¡ä»¶ã確èªããããæ¢ããŠããã®ã¯ãå
šéšã§ $5$ æãæã£ãŠãã人ã ã
åã®èšç®ã§ã¯ãã¯ãªãã㯠$5$ æã§ãããããã㯠... | ãŸã泚ç®ãã¹ãç¹ã¯ãããããã®åèšææ°ã ãã
åã¯ãã¯ãªãããšããããããããããäœææã£ãŠãããã確èªããŠãããã $5$ æãšããæ¡ä»¶ãšæ¯èŒããŠèãããã
ã¯ãªããã¯ãèµ€ãã·ãŒã« $3$ æãšéãã·ãŒã« $2$ ææã£ãŠãããããå
šéšã§
$$3 + 2 = 5$$
æã«ãªããã
äžæ¹ããããããã¯ãèµ€ãã·ãŒã« $2$ æãšéãã·ãŒã« $1$ æã ãããå
šéšã§
$$2 + 1 = 3$$
æã ã
åã®ç¢ºèªã§ã¯ãæ¡ä»¶ã® $5$ æã«ãŽã£ããåã£ãŠããã®ã¯ã¯ãªããã ãã ãããããããã® $3$ æã§ã¯è¶³ããªããã
ã ãããçãã¯ã¯ãªããã§ééããªããã
çã: ã¯ãªãã |
jp-math-l01-691-solve | 1 | å°åŠæ ¡1幎 | äžæ¡ã®è¶³ãç® | äžæ¡ã®è¶³ãç®ã»åŒãç®ãæ°ã®å€§å°æ¯èŒ | ãªã | ããã 2åã§ãã¬ã ã 5åã§ãã
ãããšã¬ã ã 1ã€ãã€è²·ããšãå
šéšã§äœåã«ãªããŸããã | ãŸã泚ç®ãã¹ãç¹ã¯ãèãããŠããéã ãããå
šéšã§äœåã«ãªããããšããããšã ããããããšã¬ã ã®å€æ®µãåãããã°ããã
ããã§æ¡ä»¶ã確èªãããã
ããã®å€æ®µã¯ $2$ åã
ã¬ã ã®å€æ®µã¯ $5$ åã
ãã® $2$ ã€ãè¶³ãåãããèšç®ã«ãªããã
èšç®ããŠã¿ããã
$$2 + 5 = 7$$
念ã®ãããåã®ããæ¹ã§ç¢ºèªããŠãããã
$2$ ããå§ããŠã$5$ ã€åã ãæ°ãäžããŠã¿ããã
$3, 4, 5, 6, 7$ã
ãããã¡ãããš $7$ ã«ãªã£ããã
èšç®çµæã¯ $7$ ã§ãããã¯äžæ¡ã®æ°ã ããåé¡ãªãã
æ¡ä»¶ã«ãŽã£ããåã£ãŠããããééãã¯ãªããã
çã: $7$ å | ãŸã泚ç®ãã¹ãç¹ã¯ããããšã¬ã ãåãããŠå
šéšã§ãããã«ãªãããšããåèšãæ±ããããšã ãã
ããã®å€æ®µã $2$ åã§ãã¬ã ã®å€æ®µã $5$ åã ãããåã¯ãããè¶³ãç®ã®åé¡ãšããŠèŠããã
$$2 + 5 = 7$$
åã®ç¢ºèªã§ã¯ã $2$ ã« $5$ ãè¶³ããšã¡ãããš $7$ ã«ãªãããæ°ãäžããŠãééãã¯ãªããã
ã ããçã㯠$7$ åã«ãªããã
çã: $\boxed{7\text{å}}$ |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.