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Squaring a 2-digit number beginning with 1 Take a 2-digit number beginning with 1. Square the second digit (keep the carry) _ _ X Multiply the second digit by 2 and add the carry (keep the carry) _ X _ The first digit is one (plus the carry) X _ _ Example: If the number is 16, square the second digit: 6 × 6 = 36 _ _ 6 Multiply the second digit by 2 and add the carry: 2 × 6 + 3 = 15 _ 5 _ The first digit is one plus the carry: 1 + 1 = 2 2 _ _ So 16 × 16 = 256. See the pattern? For 19 × 19, square the second digit: 9 × 9 = 81 _ _ 1 Multiply the second digit by 2 and add the carry: 2 × 9 + 8 = 26 _ 6 _ The first digit is one plus the carry: 1 + 2 = 3 3 _ _ So 19 × 19 = 361.
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