divisibility rule of 11
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Answer:
if the sum of the numbers in odd digit is equal to to the sum of the number in even digit then the whole number is divisible by 11
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Answer:
Method 1 - (Using Alternating Sums)
1. Write the number with spaces in between digits.
2. Write the number with spaces in between digits.
3. Write a + sign in front of the first digit.
4. Write a - sign in front of the next digit.
5. Keep alternating the + and - signs for all digits.
6. Add and subtract the digits.
7. Check your answer. 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.
Method 2 - (Using Pairs of Digits)
1. Write down your number.
2. Divide the digits in pairs from right to left. Draw a vertical line to separate the two rightmost digits from the rest of the number. Move left two more spaces and draw another line. Repeat until the whole number is divided into pairs of digits. (The last digit on the left might be alone.)
3. Add the numbers together. Treat each separate section as its own number. Add them together.
4. Check whether the answer is divisible by 11. If it is, then the original number is divisible by 11 as well. If your answer is not divisible by 11, your original number is not either. If you're not sure whether the answer is divisible by 11, repeat these same steps to test it.
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