Question

简便计算38.2×0.28+3.82×0.28+0.382×11

Answer 1

38.2×0.28+3.82×0.28+0.382×11
=3.82×2.8+3.82×0.28+3.82×1.1
=3.82×(2.8+0.28+1.1)
=3.82×4.18
=15.9676
备注：注意两个数相乘，在积不变的情况下，一个因数扩大，另一个因数就要缩小相同的倍数。

Answer 2

这个问题比较简单，原式38.2X0.28+3.82X0.28+0.382X11可变为3.82X2.8+3.82X0.28+3.82X1.1，于是就提取公因式，则变为3.82X（2.8+0.28+1.1），因此成了3.82X4.18；再观察可变为（4-0.18）X（4+0.18），于是再用平方差公式，即4的平方16，减去0.18的平方0.0324，因而就有15.9676的答案。

Answer 3

38.2×0.28+3.82×0.28+0.382×11=38.2×0.28+38.2×0.028+38.2×0.11=38.2×(0.28+0.028+0.11)=38.2×0.418=15.9676

Answer 4

38.2×0.28+3.82×0.28+0.382×11
=3.82×2.8+3.82×0.28
+3.82×1.1
=3.82×（2.8+0.28+1.1）
=3.82×4.18
=15.9676

Answer 5

38.2X0.28+3.82X0.28+0.382X11
=38.2X0.28+38.2X0.028+38.2X0.11
=38.2X（0.28+0.028+0.11）
=38.2X（0.308+0.11）
=38.2X0.418
=15.9676