1/2+1/4+1/8+1/16+1/32+1/64简便运算

问题描述:

哪位大佬,帮帮忙,

六年级 1个回答 分类:数学 2020-05-04

问题解答:

我来补答

解法一:

1/2+1/4+1/8+1/16+1/32+1/64

=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64

=1/2+1/4+1/8+1/16+1/32+1/32-1/64

=1/2+1/4+1/8+1/16+1/16-1/64

=1/2+1/4+1/8+1/8-1/64

=1/2+1/4+1/4-1/64

=1/2+1/2-1/64

=1-1/64

=63/64

 

解法二:

1/2+1/4+1/8+1/16+1/32+1/64

=(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)+(1/32-1/64)

=1-1/64

=63/64


 
 
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