72×78+36×44等于多少巧算? 36×44+72×78的简便方法

72x78\u534136\u00d744\u600e\u4e48\u5de7\u7b97\uff1f

\u7b49\u4e8e36\u00d7156+36\u00d744=36\u00d7\uff08156+44\uff09=36\u00d7200=7200
\u6240\u4ee5\u7ed3\u679c\u7b49\u4e8e7200

36\u00d744+72\u00d778
=72\u00d722+72\u00d778
=72\u00d7\uff0822+78\uff09
=72\u00d7100
=7200

72×78+36×44
=72×(78+22)
=72×100
=7200
这道题目乍一看他们的公因数不明显,但是需要知道的是72等于36x2。那么这就可以计算出它们的公因数是72。一提取出来,那么计算就简单了。

72×78+36×44等于多少巧算?
=72×(78+22)
=72×100
=7200

72×78+36×44
=72×78+36×(2×22)
=72×78+(36×2)×22
=72×78+72×22
=72×(78+22)
=72×100
=7200

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