Tutorial 58 |
Squaring numbers between 800 - 810
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- Choose a number between 800 and 810.
- Square the last two digits:
_ _ _ _ X X
- Multiply the last two digits by 16
(keep the carry): _ _ X X _ _
- Square 8, add the carry: X X _ _ _ _
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Example:
- If the number to be squared is 802:
- Square the last two digits:
2 × 2 = 4: _ _ _ _ 0 4
- Multiply the last two digits by 16:
16 × 2 = 32: _ _ 3 2 _ _
- Square 8: 6 4 _ _ _ _
- So 802 × 802 = 643,204.
See the pattern?
- If the number to be squared is 807:
- Square the last two digits:
7 × 7 = 49: _ _ _ _ 4 9
- Multiply the last two digits by 16
(keep the carry): 16 × 7 = 112: _ _ 1 2 _ _
- Square 8, add the carry (1): 6 5 _ _ _ _
- So 807 × 807 = 651, 249.
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