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Squaring numbers in the hundreds Choose a number over 100 (keep it low for practice, then go higher when expert). The last two places will be the square of the last two digits (keep any carry) _ _ _ X X. The first three places will be the number plus the last two digits plus any carry: X X X _ _. Example: If the number to be squared is 106: Square the last two digits (no carry): 6 × 6 = 36: _ _ _ 3 6 Add the last two digits (06) to the number: 106 + 6 = 112: 1 1 2 _ _ So 106 × 106 = 11236. See the pattern? If the number to be squared is 112: Square the last two digits (keep carry 1): 12 × 12 = 144: _ _ _ 4 4 Add the last two digits (12) plus the carry (1) to the number: 112 + 12 + 1 = 125: 1 2 5 _ _ So 112 × 112 = 12544.
WHats the reason behind this??? Can you explain it in a generic form
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