题目
用简便算法计算7.2×0.25+0.8×0.75。
答案:【答案】2.4【解析】通过观察,发现7.2和0.8、0.25与0.75都有很明显的倍比关系,根据因数与积之间的关系,可以将7.2×0.25变成2.4×3×0.25=2.4×0.75,0.8×0.75变成0.8×3×0.25=2.4×0.25,然后根据乘法分配律进行计算;也可以将0.8×0.75变成0.8×3×0.25=2.4×0.25,7.2×0.25不变,然后根据乘法分配律进行计算。方法一 方法二7.2×0.25+0.8×0.75 7.2×0.25+0.8×0.75=2.4×0.75+2.4×0.25 =7.2×0.25+2.4×0.25=2.4×(0.75+0.25) =0.25×(7.2+2.4)=2.4×1 =0.25×9.6=2.4 =2.4