A=9.5876乘1.23456,B=9.5875乘1.23457,则A大于或小于或等于B?比大小

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 09:54:56
A=9.5876乘1.23456,B=9.5875乘1.23457,则A大于或小于或等于B?比大小

A=9.5876乘1.23456,B=9.5875乘1.23457,则A大于或小于或等于B?比大小
A=9.5876乘1.23456,B=9.5875乘1.23457,则A大于或小于或等于B?
比大小

A=9.5876乘1.23456,B=9.5875乘1.23457,则A大于或小于或等于B?比大小
A-B=9.5876×1.23456-(9.5876-0.0001)×(1.23456+0.00001)
=0.0001×1.23456-9.5876×0.00001+0.0001×0.00001
=0.00001(10×1.23456-9.5876+0.0001)
>0
∴A>B

A=9.5876x1.23456=11.836467456
B=9.5875x1.23457=11.836439875
A>B

a>b

A=9.5876x1.23456
=(9.5875+0.0001)x1.23456
=9.5876x1.23456+0.0001x1.23456
B=9.5875x1.23457
=9.5875x(1.23456+0.00001)
=9.5875x1.23456+0.00001x9.5876
因为0.0001x1.23456大于0.00001x9.5876
所以A大于B

B=9.5875*1.23457
=(9.5876-1)(1.23456+0.00001)
=9.5876*1.23456-1.23456+9.5676*0.00001-0.00001
很明显-1.23456+9.5676*0.00001-0.00001<0
所以A>B