Tutorial 58
Squaring numbers between 800 - 810

  1. Choose a number between 800 and 810.
  2. Square the last two digits:
    _ _ _ _ X X
  3. Multiply the last two digits by 16
    (keep the carry): _ _ X X _ _
  4. Square 8, add the carry: X X _ _ _ _

   Example:

  1. If the number to be squared is 802:
  2. Square the last two digits:
    2 × 2 = 4: _ _ _ _ 0 4
  3. Multiply the last two digits by 16:
    16 × 2 = 32: _ _ 3 2 _ _
  4. Square 8: 6 4 _ _ _ _
  5. So 802 × 802 = 643,204.

   See the pattern?

  1. If the number to be squared is 807:
  2. Square the last two digits:
    7 × 7 = 49: _ _ _ _ 4 9
  3. Multiply the last two digits by 16
    (keep the carry): 16 × 7 = 112: _ _ 1 2 _ _
  4. Square 8, add the carry (1): 6 5 _ _ _ _
  5. So 807 × 807 = 651, 249.