簡便運算,請寫出主要過程.
12.5×43.2+1.25×156+125×2.12.
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.
分析:12.5×43.2+1.25×156+125×2.12,根據(jù)因數(shù)與積的變化規(guī)律將原式轉化為:12.5×43.2+12.5×15.6+12.5×21.2,再運用乘法分配律進行簡便.
點評:此題考查的目的是理解掌握因數(shù)與積的變化規(guī)律、乘法分配律的意義,并且能夠靈活運用乘法分配律進行簡便計算.