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Multiplying Two digit Numbers Having 1st digit same1

Multiplying two 2-digit numbers
(same 1st digit)

1. Select two 2-digit numbers with the same first digit.
2. Multiply their second digits (keep the carry). _ _ _ X
3. Multiply the sum of the second digits by the first digit, add the carry (keep the carry). _ _ X _
4. Multiply the first digits (add the carry). X X _ _

Example:

  1. If the first number is 42, choose 45 as the second number (any 2-digit number with first digit 4).
  2. Multiply the last digits: 2 × 5 = 10 (keep carry)
    _ _ _ 0
  3. Multiply the sum of the 2nd digits by the first:
    5 + 2 = 7; 7 × 4 = 28; 28 + 1 = 29 (keep carry)
    _ _ 9 _
  4. Multiply the first digits (add the carry)
    4 × 4 = 16; 16 + 2 = 18
    1 8 _ _
  5. So 42 × 45 = 1890.

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