Multiplying a 2-digit number by
594
- Select a 2-digit number .
- Multiply it by 6.
- 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 one to the first digit
and subtract the result from the product:
X X X _ _
Then subtract the last two digits of the product from 100: _ _ _ X X
Example:
- The 2-digit number chosen to multiply by 594 is 16.
- Multiply by 6: 6 x 16 = 60 + 36 = 96
- Subtract 1: 96 - 1 = 95: 9 5 _ _
- 100 - product: 100 - 96 = 4: _ _ 0 4
- So 594 x 16 = 9,504.
See the pattern?
- The 2-digit number chosen to multiply by 594 is 92.
- Multiply by 6: 6 x 92 = 540 + 12 = 552
- 1st digit + 1: 5 + 1 = 6
- Subtract 6 from product: 552 - 6 = 546:
5 4 6 _ _
- 100 - product's last 2 digits: 100 - 52 = 48:
_ _ _ 4 8
- So 594 x 92 = 54,648.
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