計(jì)算下面各題,能簡便的要寫出簡便運(yùn)算過程.
①0.75×2.8+0.75×7.2
②1.01×101-1.01
③40.4×2.5
④45.8-2.72÷0.8×12.5
⑤(2.83+7.17)÷(1-0.9)
解:①0.75×2.8+0.75×7.2
=0.75×(2.8+7.2),
=0.75×10,
=7.5;
②1.01×101-1.01
=1.01×101-1.01×1,
=1.01×(101-1),
=1.01×100,
=101;
③40.4×2.5
=(40+0.4)×2.5,
=40×2.5+0.4×2.5,
=100+1,
=101;
④45.8-2.72÷0.8×12.5
=45.8-3.4×12.5,
=45.8-42.5,
=3.3;
⑤(2.83+7.17)÷(1-0.9)
=10÷0.1,
=100.
分析:①根據(jù)乘法分配律進(jìn)行計(jì)算即可得到答案;
②可將算式中的減數(shù)1.01改寫成1.01×1,然后再按照乘法分配律進(jìn)行計(jì)算即可;
③將算式中的40.4改寫成40+0.4,然后再按照乘法分配律進(jìn)行計(jì)算即可;
④、⑤直接按照小數(shù)的四則混合運(yùn)算的順序進(jìn)行計(jì)算即可.
點(diǎn)評:此題主要考查的是乘法分配律在算式中的靈活應(yīng)用.