题目内容
简便运算,请写出主要过程.
12.5×43.2+1.25×156+125×2.12.
12.5×43.2+1.25×156+125×2.12.
分析:12.5×43.2+1.25×156+125×2.12,根据因数与积的变化规律将原式转化为:12.5×43.2+12.5×15.6+12.5×21.2,再运用乘法分配律进行简便.
解答:解:12.5×43.2+1.25×156+125×2.12,
=12.5×43.2+12.5×15.6+12.5×21.2,
=12.5×(43.2+15.6+21.2),
=12.5×80,
=1000.
=12.5×43.2+12.5×15.6+12.5×21.2,
=12.5×(43.2+15.6+21.2),
=12.5×80,
=1000.
点评:此题考查的目的是理解掌握因数与积的变化规律、乘法分配律的意义,并且能够灵活运用乘法分配律进行简便计算.
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