What is divisibility rule for 11 in the decimal system? Explain this w

Question

What is divisibility rule for 11 in the decimal system? Explain this with two distinct examples. Further, what is the logic behind the rule?

30 Nov 2023

Answer :

Word Count : 449

The divisibility rule for 11 in the decimal system is a simple and fascinating trick to determine if a number is divisible by 11 without actually performing the division. To apply this rule, you need to perform a subtraction and manipulation of the digits of the number in question.

Here's how it works: Take a number in its decimal form, for example, 1765.

Step 1: Starting from the rightmost digit, alternately add and subtract the digits.

1765 → \(1 - 7 + 6 - 5\)

Step 2: Determine if the resulting number is divisible by 11.

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