Example:
If the number to be squared is 53:
- Square the last digit (keep the carry):
3 × 3 = 9 (keep 3) _ _ _ 9
- Multiply the last digit by 10, add the carry:
10 × 3 = 30 (keep 3) _ _ 0 _
- The first digits will be 25 plus the carry:
25 (+ carry): 25 + 3 = 28 2 8 _ _
- So 53 × 53 = 2809.
See the pattern?
If the number to be squared is 56:
- Square the last digit (keep the carry):
6 × 6 = 36 (keep 3) _ _ _ 6
- Multiply the last digit by 10, add the carry:
10 × 6 = 60, 60 + 3 = 63 _ _ 3 _
- The first digits will be 25 plus the carry:
25 (+ carry): 25 + 6 = 31 3 1 _ _
- So 53 × 53 = 3136.
Practice and you will soon be producing these
products quickly and accurately.
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