用簡(jiǎn)便方法計(jì)算下列各題.
(1)1240×3.4+1.24×2300+12.4×430
(2)4.05+4.08+4.11+…+7.02.
解:(1)1240×3.4+1.24×2300+12.4×430,
=124×34+124×23+124×43,
=124×(34+23+43),
=124×100,
=12400;
4.05+4.08+4.11+…+7.02,
=(4.05+4.11)+(4.08+7.02),
=8.16+11.1,
=19.26.
分析:(1)1240×3.4+1.24×2300+12.4×430,根據(jù)因數(shù)與積的變化規(guī)律,將原式轉(zhuǎn)化為:124×34+124×23+124×43,再運(yùn)用乘法分配律進(jìn)行簡(jiǎn)算.
(2)4.05+4.08+4.11+…+7.02,運(yùn)用加法交換律和結(jié)合律進(jìn)行簡(jiǎn)算.
點(diǎn)評(píng):此題考查的目的是理解掌握加法、乘法的運(yùn)算定律,并且能夠靈活運(yùn)用這些運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.