Question

3.78×0.57+3.78×0.42+0.01简便方法？

Answer 1

通过观察这个式子可以发现:加号前后三个式子里面前两个有共同数字3.78，且0.57与0.42之和为1－0.01
根据乘法分配律a×（b+c）=ab+ac
灵活应用，乘法分配律的逆运用，提出共同因数3.78
具体如下
3.78×0.57+3.78×0.42+0.01
=3.78×0.57+3.78×0.42+3.78×0.01+0.01－0.0378
=3.78×（0.57+0.42+0.01）+0.01－0.0378
=3.78×1+0.01－0.0378
=3.78+0.01－0.0378
=3.79－0.0378
=3.7522

Answer 2

这个简单
3.78×0.57+3.78×0.42+0.01
=3.78×（0.57+0.42+0.01）-3.78×0.01+0.01
=3.78-0.0378+0.01
=3.79-0.0378
=3.7522

Answer 3

3.78×0.57+3.78×0.42+0.01
=3.78×0.57+3.78×0.42+3.78×0.01
-0.0275
=(0.57+0.42+0.01)×3.78-0.0275
=3.78-0.0257
=3.7543