Practice Objectives
- Demonstrate the ability to determine if a number is divisible by 7
- Demonstrate the ability to determine if a number is divisible by 11
Practice the Divisibility Rules for 7 & 11
Instructions:
Answer 7/10 questions correctly to pass.
Determine if the given number is divisible by .
Problem:
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Divisibility by 7:
- We start by removing the final digit from the number, double the number and subtract it away from the shortened original number
- If the number formed is a 0 or a number that is divisible by 7, the original number is divisible by 7. We can repeat the process as needed
Divisibility by 11:
- Form the sum of the digits in the odd places and subtract away the sum of the digits in the even places
- The odd places refer to the 1st digit, 3rd digit, 5th digit, and so on
- The even places refer to the 2nd digit, 4th digit, 6th digit, and so on
- Note, we can count our digits starting from right to left or left to right. This can result in a sign difference, which is not important
- If the result is a 0 or a number that is divisible by 11, then the original number is divisible by 11
Step-by-Step:
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Video Lesson Written Lesson
Wow! You have mastered Divisibility Rules for 7 & 11!
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