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116问答网 > 初中数学问题：m是偶数，m=-1（mod5），如何推出m=4（mod10）？谢谢。

初中数学问题：m是偶数，m=-1（mod5），如何推出m=4（mod10）？谢谢。

2025-04-07 02:48:30

推荐回答（2个）

回答1：

设m=2k，（2k+1）=5n
2k=5n-1,5n-1是偶数，n必须是奇数，设n=2r+1
m=2k=5（2r+1）-1=10r+4
因此m≡4（mod10）
有点儿奇怪，一般余数不用负数的。

回答2：

m=-1（mod5）=4（mod5）=4（mod10）或者9（mod10
因为m为偶数，所以m=4（mod10）

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