Question

98.6x98.6-98.5x98.7的简便运算

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+0.1x0.1

=0.01

扩展资料

简便计算方法：

凑整法

就是运用加法和乘法的定律以及减法和除法的性质凑整计算，也就是凑成一个整千或整百、整十的数，直接进行简便运算。

例题

3643-74+6357-126

=（3643+6357）-（74+126）

=1000-200

=800

通过观察题中数字的特点，将3643和6357相加凑成整千，利用减法的性质将74与126可凑成一个整百数，使计算简便。

Answer 2

解题过程：

Answer 3

98.6x98.6-98.5x98.7
=98.6x98.6-(98.6-1)x(98.6+1)
=98.6x98.6-98.6x98.6 +1
=1

Answer 4

=98.6×98.6-(98.6-0.1)(98.6+0.1)
=98.6×98.6-98.6×98.6+0.1×0.1
=0.01

Answer 5

98.6×98.6-98.5×98.7
=(98.6+0.1)×(98.6-0.1)
=98.6²-(98.6²-0.1²)
=98.6²-98.6²+0.01
=0.01