Multiplying a 2-digit number by
891
- Select a 2-digit number.
- Multiply it by 9.
- If the product is 2 digits, subtract 1:
X X _ _
Then subtract the product from 100:
_ _ X X
- If the product is 3 digits, add 1 to the first digit and
subtract it from the product: X X X _ _
Then subtract the last 2 digits of the product from 100: _ _ _ X X
Example:
- The 2-digit number chosen to multiply by 891 is 11.
- Multiply by 9: 9 x 11 = 99
- Subtract 1: 99 - 1 = 98: 9 8 _ _
- Subtract the product from 100: 100 - 99 = 1:
_ _ 0 1
- So 11 x 891 = 9,801.
See the pattern?
- The 2-digit number chosen to multiply by 891 is 34.
- Multiply by 9: 9 x 34 = 270 + 36 = 306
- Add 1 to the first digit: 3 + 1 = 4
- Subtract 4 from the product: 306 - 4 = 302:
3 0 2 _ _
- Subtract the last 2 digits from 100: 100 - 6 = 94:
_ _ 9 4
- So 34 x 891 = 30,294.
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