Multiplying a 2-digit number by
77
- Select a 2-digit number.
- Multiply it by 7.
- Add the digits from right to left
(see examples, below).
Example:
- The 2-digit number chosen to multiply by 77 is 42.
- Multiply by 7: 7 x 42 = 280 + 14 = 294
- The last digit is the same: _ _ _ 4
- Add right to left. 4 + 9 = 13: _ _ 3 _
9 + 2 + 1(carry) = 12: _ 2 _ _
First digit + carry: 2 + 1 = 3: 3 _ _ _
- So 77 x 42 = 3234.
See the pattern?
- If the number to be multiplied by 77 is 84:
- Multiply by 7: 7 x 84 = 560 + 28 = 588
- The last digit is the same: _ _ _ 8
- Add right to left. 8 + 8 = 16: _ _ 6 _
8 + 5 + 1(carry) = 14: _ 4 _ _
First digit + carry: 5 + 1 = 6: 6 _ _ _
- So 77 x 84 = 6468.
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