Question

98.6x98.6-98.5x98.7的简便运算

Answer 1

98.6x98.6-98.5x98.7的简便运算：

98.6x98.6-98.5x98.7

=98.6x98.6-(98.6-0.1)x(98.6+0.1)

=98.6x98.6-(98.6x98.6-0.1×0.1)

=98.6x98.6-98.6x98.6+0.01

=0.01

扩展资料

简便计算方法：

提取公因数法。

就是利用乘法分配律，提取一个公有的因数，使计算简便。

例题

39×28+75×28-14×28

=（39+75-14）×28

=100×28

=2800

可以发现三个乘法计算中有一个相同的因数28,另外三个因数39、75、14它们相加减后结果正好是100，就可以 逆用乘法分配律进行简算。

Answer 2

98.6x98.6-98.5x98.7
=98.6x98.6-(98.6-0.1)x(98.6+0.1)
=98.6x98.6-(98.6x98.6-0.1×0.1)
=98.6x98.6-98.6x98.6+0.01
=0.01

Answer 3

解：原式=98.6*98.6-（98.6-0.1）*（98.6+0.1）=98.6*98.6-（98.6*98.6-0.1*0.1）
=0.1*0.1=0.01