恐怖的数学题100个7组成一个100位数,它除以13的余数是几?
2019-04-12
恐怖的数学题
100个7组成一个100位数,它除以13的余数是几?
优质解答
7/13=...7
77/13=5...12
777/13/=59...10
7777/13=598...3
77777/13=5982...11
777777/13=59829...0
7777777/13=598290...7
77777777/13=5982905...12
777777777/13=59829059...10
由此得出,商的规律是7,12,10,3,11,0,7,12,10,3,11,0...六个一循环
100/6=16...4,第四个是3,所以100个7组成一个100位数,它除以13的余数是3
7/13=...7
77/13=5...12
777/13/=59...10
7777/13=598...3
77777/13=5982...11
777777/13=59829...0
7777777/13=598290...7
77777777/13=5982905...12
777777777/13=59829059...10
由此得出,商的规律是7,12,10,3,11,0,7,12,10,3,11,0...六个一循环
100/6=16...4,第四个是3,所以100个7组成一个100位数,它除以13的余数是3