Math, asked by rohth4702, 10 months ago

801*4 replace * by the smallest digit to make it divisible by 11

Answers

Answered by tjessyj
8

Answer:

2

Step-by-step explanation:

divisibility rule for 11 = difference of sum of odd numbers and sum of even numbers must be a multiple of 11 e.g. for abcdef to be a multiple of 11,

(a + c + e) - (b + d + f) must be a multiple of 11

for 801*4 to be divisible by 11,

(8 + 1 + 4) - (0 + *) must be a multiple of 11

8 + 1 + 4 = 13

0 + * = *

so 13 - * must be a mutiple of 11

the smallest multiple of 11 closest to 13 = 11

to get 11 we subtract 2 from 13

so * = 2

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