計(jì)算:
①15.6789÷20÷5=________
②34.5×8.23-34.5+2.77×34.5=________
③0.9999×0.7+0.1111×2.7=________.
0.156789 345 0.9999
分析:①“連除”可轉(zhuǎn)化成“除以這兩個(gè)數(shù)的積”進(jìn)行簡(jiǎn)便計(jì)算;
②可運(yùn)用乘法分配律進(jìn)行簡(jiǎn)便計(jì)算;
③可把“0.1111×2.7”轉(zhuǎn)化成“0.9999×0.3”,再運(yùn)用乘法分配律進(jìn)行簡(jiǎn)便計(jì)算.
解答:①15.6789÷20÷5
=15.6789÷100
=0.156789;
②34.5×8.23-34.5+2.77×34.5
=34.5×(8.23+2.77-1)
=34.5×10
=345;
③0.9999×0.7+0.1111×2.7
=0.9999×0.7+0.9999×0.3
=0.9999×(0.7+0.3)
=0.9999;
故答案為0.156789;345;0.9999.
點(diǎn)評(píng):此題是考查小數(shù)四則混合運(yùn)算的簡(jiǎn)便計(jì)算,有一定的技巧性,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡(jiǎn)便計(jì)算.