Question

test the divisibility of each of the following numbers by 11:
(i) 22222
(ii) 444444
(iii) 379654
(iv) 1057982.
Please answer it in detail

Answer 1

Answer:

1. 22222 is not divisible by 11
2. 444444 is divisible by 11
3. 379654 is divisible by 11
4. 1057982 is not divisible by 11

The divisibility by 11 rule states that if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

Eg : Consider 379654,

Sum of digits in odd places = 3+9+5=17

Sum of digits in even places = 7+6+4=17

Take difference, 17-17=0

Therefore 379654 is divisible by 11.

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