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Friday, March 5, 2010

Squaring a 2-digit number ending in 5

  1. Choose a 2-digit number ending in 5.
  2. Multiply the first digit by the next consecutive number.
  3. The product is the first two digits: XX _ _.
  4. The last part of the answer is always 25: _ _ 2 5.

Example:

  1. If the number is 35, 3 × 4 = 12 (first digit
    times next number). 1 2 _ _
  2. The last part of the answer is always 25: _ _ 2 5.
  3. So 35 × 35 = 1225.

See the pattern?

  1. For 65 × 65, 6 × 7 = 42 (first digit
    times next number): 4 2 _ _.
  2. The last part of the answer is always 25: _ _ 2 5.
  3. So 65 × 65 = 4225.

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