How to Check Divisibility of
Write the number with spaces in between digits., Write a + sign in front of the first digit., Write a - sign in front of the next digit., Keep alternating the + and - signs for all digits., Add and subtract the digits., Check your answer., Solve...
Step-by-Step Guide
-
Step 1: Write the number with spaces in between digits.
For example, if you want to know whether 10,516 is divisible by 11, write the number like this:1 0 5 1 6 -
Step 2: Write a + sign in front of the first digit.
For example:+1 0 5 1 6 , Your paper should now look like this:+1 - 0 5 1 6 , Add a + sign in front of the third digit, then a
- sign in front of the fourth, and so on until you reach the end:+1 - 0 + 5 - 1 + 6 , Now treat this like any arithmetic problem, adding and subtracting the digits together: +1 - 0 + 5 - 1 + 6= 11 , These simple rules tell you whether the original number is divisible by 11:
If your answer is divisible by 11 (0, 11, 22, etc.), the original number is also divisible by
11.
Keep in mind that 0 is a multiple of 11, since 11 * 0 =
0.
If your answer is not a multiple of 11, the original number is not divisible by
11.
The answer was 11, which is a multiple of
11.
Therefore, the original number 10,516 is divisible by
11. , Here are a couple practice problems.
Try to solve them on your own, then check the answers below.Use the alternate sums method on each number to check whether it's divisible by 11:
A. 10,032 B. 142 C. 8,470,803 , Here are the answers to the practice problems:
A. 10032 +1
- 0 + 0
- 3 + 2 = 0 0 is divisible by 11, so yes, 10,032 is also divisible by
11.B. 142 +1
- 4 + 2 =
-1.
-1 is not divisible by 11, so no, 142 is not divisible by
11.C. 8470803 +8
- 4 + 7
- 0 + 8
- 0 + 3 = 22 22 is divisible by 11, since 11 * 2 =
22.
Yes, 8,470,803 is divisible by
11. -
Step 3: Write a - sign in front of the next digit.
-
Step 4: Keep alternating the + and - signs for all digits.
-
Step 5: Add and subtract the digits.
-
Step 6: Check your answer.
-
Step 7: Solve example problems.
-
Step 8: Check your answers.
Detailed Guide
For example, if you want to know whether 10,516 is divisible by 11, write the number like this:1 0 5 1 6
For example:+1 0 5 1 6 , Your paper should now look like this:+1 - 0 5 1 6 , Add a + sign in front of the third digit, then a
- sign in front of the fourth, and so on until you reach the end:+1 - 0 + 5 - 1 + 6 , Now treat this like any arithmetic problem, adding and subtracting the digits together: +1 - 0 + 5 - 1 + 6= 11 , These simple rules tell you whether the original number is divisible by 11:
If your answer is divisible by 11 (0, 11, 22, etc.), the original number is also divisible by
11.
Keep in mind that 0 is a multiple of 11, since 11 * 0 =
0.
If your answer is not a multiple of 11, the original number is not divisible by
11.
The answer was 11, which is a multiple of
11.
Therefore, the original number 10,516 is divisible by
11. , Here are a couple practice problems.
Try to solve them on your own, then check the answers below.Use the alternate sums method on each number to check whether it's divisible by 11:
A. 10,032 B. 142 C. 8,470,803 , Here are the answers to the practice problems:
A. 10032 +1
- 0 + 0
- 3 + 2 = 0 0 is divisible by 11, so yes, 10,032 is also divisible by
11.B. 142 +1
- 4 + 2 =
-1.
-1 is not divisible by 11, so no, 142 is not divisible by
11.C. 8470803 +8
- 4 + 7
- 0 + 8
- 0 + 3 = 22 22 is divisible by 11, since 11 * 2 =
22.
Yes, 8,470,803 is divisible by
11.
About the Author
Kenneth Wood
Creates helpful guides on crafts to inspire and educate readers.
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