23.42+46.84×0.5378×[1/4]+0.5378×46.84×0.75-8×46.84×0.125×0.5

解题思路：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．

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．

点评：
本题考点： 小数的巧算．

考点点评： 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．

23.42+46.84×0.5378×1/4+0.5378×46.84×0.75-8×46.84×0.125×0.5378
=23.42+0.5378+[0.25*46.84+46.84*0.75]-46.84*(8*0.125)*0.5378
=23.42+0.5378*46.84-46.84*0.5378
=23.42

运用乘法分配律做：提出相同的数

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+0.75-8×0.125)
=23.42+46.84×0.5378×0
=23.42+0
=23.42