Question

Exercise - 3.2
1) Using divisibility rules, determine which of the following numbers are divisible by 11.
(1) 6446
(2) 10934
(3) 7138965 (4) 726352
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Answer 1

Answer:

1,2, and 4 are divisible by 11

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Answer 2

Step-by-step explanation:

(a) 6446

 

Sum of odd digits = 6 + 4 = 10

Sum of even digits = 4 + 6 = 10

 

Difference = 0

 

Difference is divisible by 11. Therefore, 6446 is divisible by 11.

(b) 10934

 

Sum of odd digits = 1 + 9 + 4 = 14

Sum of even digits = 0 + 3 = 3

 

Difference = 14-3 = 11

 

Difference is divisible by 11. Therefore, 10934 is divisible by 11.

(c) 7138965

 

Sum of odd digits = 7 + 3 + 9 + 5 = 24

Sum of even digits = 1 + 8 + 6 = 15

 

Difference = 24-15 = 9

 

Difference is not divisible by 11. Therefore, 7138965 is not divisible by 11.

(d) 726352

 

Sum of odd digits counting from right = 2 + 3 + 2 = 7

Sum of even digits counting from right = 5 + 6 + 7 = 18

 

Difference = 18-7 = 11

 

Difference is divisible by 11. Therefore, 726352 is divisible by 11.