简算111111111/9yao guo chen

2个回答

  • 111111111/9

    =(100000000+10000000+1000000... )/9

    =(999999999+9999999+999999+99999+9999+999+99+9+1*9)/9

    =111111111+11111111+1111111+...+111+11+1+1

    =12345678+1

    =12345679

    规律是

    123456789*9=1111111101

    12345679*9= 111111111

    1234569*9= 11111121

    123459*9= 1111131

    12349*9= 111141

    1239*9= 11151

    129*9= 1161

    19*9= 171

    9*9= 81

    所以111111111/9=12345679

    原式=100000000+10000000+1000000...

    =999999999+9999999+999999+99999+9999+999+99+9+1*9

    =9*(11111111+1111111+111111+11111+1111+111+11+1+1)

    =9*12345679

    所以答案12345679