Which of the following is a correct statement about divisibility by 11?

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Question: Which of the following is a correct statement about divisibility by 11?

Options:

The difference between the sum of the digits in odd positions and even positions must be 0
The number must be even
The last digit must be 1
The sum of the digits must be divisible by 11

Correct Answer: The difference between the sum of the digits in odd positions and even positions must be 0

Solution:

For a number to be divisible by 11, the difference between the sum of the digits in odd positions and even positions must be divisible by 11.

Which of the following is a correct statement about divisibility by 11?

The difference between the sum of the digits in odd positions and even positions must be 0
The number must be even
The last digit must be 1
The sum of the digits must be divisible by 11

Which of the following is a correct statement about divisibility by 11?

Step 1: Identify the number you want to check for divisibility by 11.
Step 2: Write down the digits of the number in order from left to right.
Step 3: Separate the digits into two groups: those in odd positions and those in even positions. (Odd positions are 1st, 3rd, 5th, etc., and even positions are 2nd, 4th, 6th, etc.)
Step 4: Add up all the digits in the odd positions to get a total sum for odd positions.
Step 5: Add up all the digits in the even positions to get a total sum for even positions.
Step 6: Subtract the sum of the even position digits from the sum of the odd position digits. (This gives you a difference.)
Step 7: Check if the difference you calculated is divisible by 11. If it is, then the original number is divisible by 11.

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