801*4 replace * by the smallest digit to make it divisible by 11
Answers
Answered by
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
Similar questions