余数问题：3除以7，余数是多少？（不是7除以3）

raven1981

3除以7，余数是多少？（不是7除以3）

水模样

3

raven1981

为什么是3

sniper

如果3是正确的话，大概是3里面包含0个7，所以余3

但我不确定-----

水模样

跟这题相关

0—50，inclusive，其中被3除余1的数的个数

我的答案是1，4，7。。。。49，一共是17个

popo_prince

3
remainder r of n devide by p is defined as
0<=r<p and exist integer q such that
n = p*q+r

in your example, n = 3, p = 7
3 = 0*7+3

the definition of r can be futher extanded for minors n
if n = -3
then
-3 = (-1)*7+4

so r = 4

yangxiaogang

你查一下中学课本余数的的定义就知道了。3

raven1981

popo_prince，如果这样的话，则有

p q为整数，且p<q,那么p/q的余数为任意数了

raven1981

关于余数的定义

In general, a remainder is a quantity "left over" after performing a particular algorithm. The term is most commonly used to refer to the number left over when two integers are divided by each other in integer division. For example, , with a remainder of 6. Of course in real division, there is no such thing as a remainder since, for example,

raven1981

三以较大整数，余数就是小整数本身。