What is the rule for determining if a number is divisible by 11?
Practice Questions
1 question
Q1
What is the rule for determining if a number is divisible by 11?
The sum of the digits must be even
The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11
It must end in 1
It must be a prime number
A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is divisible by 11.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the rule for determining if a number is divisible by 11?
Solution: A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is divisible by 11.
Steps: 7
Step 1: Write down the number you want to check for divisibility by 11.
Step 2: Identify the positions of each digit in the number, starting from the right. The rightmost digit is position 1, the next is position 2, and so on.
Step 3: Separate the digits into two groups: those in odd positions and those in even positions.
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.
Step 7: Check if the result from Step 6 is divisible by 11. If it is, then the original number is divisible by 11.
