23.42+46.84×0.5378×14+0.5378×46.84×0.75-8×46.84×0.125×0.5378=______.

问题描述:

23.42+46.84×0.5378×

1
4
+0.5378×46.84×0.75-8×46.84×0.125×0.5378=______.

23.42+46.84×0.5378×

1
4
+0.5378×46.84×0.75-8×46.84×0.125×0.5378,
=0.5378×46.84×(0.25+0.75-0.125×8)+23.42,
=0.5378×46.84×(1-1)+23.42,
=0+23.42,
=23.42;
故答案为:23.42.
答案解析:本题算式中有公因数“46.84×0.5378”,所以可利用乘法分配律进行巧算.
考试点:小数的巧算.
知识点:解答此类型的题目时要注意观察算式的特点,灵活地运用一些定律进行巧算.