Multiplying a 2-digit number by
297
- Select a 2-digit number.
- Multiply by 3.
- If the product has 2 digits, subtract 1:
X X _ _
Subtract the product from 100: _ _ X X
- If the product has 3 digits, add 1 to the first digit:
X X X _ _
Subtract this from the product;
Subtract the last 2 digits of the product from 100:
_ _ _ X X
Example:
- The 2-digit number chosen to multiply by 297 is 33.
- Multiply by 3: 3 x 33 = 99.
- Subtract 1: 99 - 1 = 98: 9 8 _ _
- 100 - product: 100 - 99 = 1: _ _ 0 1
- So 297 x 33 = 9801.
See the pattern?
- The 2-digit number chosen to multiply by 297 is 92.
- Multiply by 3: 3 x 92 = 276.
- Add 1 to the first digit: 2 + 1 = 3
- Subtract this from the product: 276-3 = 273:
2 7 3 _ _
- Subtract the last two digits of the product from 100:
100 - 76 = 24: _ _ _ 2 4
- So 297 x 92 = 27324..
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