用簡(jiǎn)便方法計(jì)算
(1)56×12.5
(2)14.6-(4.6+7.2)
(3)99×99+199.
解:(1)56×12.5,
=7×(8×12.5),
=7×100,
=700;
(2)14.6-(4.6+7.2),
=14.6-4.6-7.2,
=10-7.2,
=2.8;
(3)99×99+199,
=99×99+99+100,
=99×(99+1)+100,
=99×100+100,
=9900+100,
=10000.
分析:(1)56×12.5,轉(zhuǎn)化為7×8×12.5,再應(yīng)用乘法結(jié)合律進(jìn)行簡(jiǎn)算;
(2)14.6-(4.6+7.2),根據(jù)減法的運(yùn)算性質(zhì),a-(b+c)=a-b-c,由此進(jìn)行簡(jiǎn)算;
(3)99×99+199,轉(zhuǎn)化為99×99+99+100,再應(yīng)用乘法分配律進(jìn)行簡(jiǎn)算.
點(diǎn)評(píng):此題是考查應(yīng)用整數(shù)乘法的運(yùn)算定律和減法的運(yùn)算性質(zhì)對(duì)整數(shù)、小數(shù)四則混合運(yùn)算進(jìn)行簡(jiǎn)便計(jì)算.