**Divisibility Rule of 11**

- Take the number you want to check for divisibility by 11.
- Starting from the rightmost digit, multiply each digit alternatively by 1 and -1, moving from right to left.
- Add up all the resulting values.
- If the sum is divisible by 11 (including zero), then the original number is also divisible by 11. Otherwise, it is not divisible by 11.

**Let’s illustrate this rule with an example:**

**Example:** Determine if the number 935 is divisible by 11.

- Starting from the rightmost digit, multiply each digit alternatively by 1 and -1: 5 x 1 = 5 3 x -1 = -3 9 x 1 = 9
- Add up all the resulting values: 5 + (-3) + 9 = 11.
- The sum is 11, which is divisible by 11. Therefore, the original number 935 is divisible by 11.

**Now, let’s try another example:**

Example: Determine if the number 1,654 is divisible by 11.

- Starting from the rightmost digit, multiply each digit alternatively by 1 and -1: 4 x 1 = 4, 5 x -1 = -5, 6 x 1 = 6, 1 x -1 = -1
- Add up all the resulting values: 4 + (-5) + 6 + (-1) = 4.
- The sum is 4, which is not divisible by 11. Therefore, the original number 1,654 is not divisible by 11.

Divisibility Check

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