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Squaring numbers in the 60s Square the last digit (keep the carry) _ _ _ X Multiply the last digit by 12, add the carry _ _ X _ The first digits will be 36 plus the carry: X X _ _ Example: If the number to be squared is 63: Square the last digit (keep the carry): 3 × 3 = 9 (keep 3) _ _ _ 9 Multiply the last digit by 12, add the carry: 12 × 3 = 36 (keep 3) _ _ 6 _ The first digits will be 36 plus the carry: 36 (+ carry): 36 + 3 = 39 3 9 _ _ So 63 × 63 = 3969. See the pattern? If the number to be squared is 67: Square the last digit (keep the carry): 7 × 7 = 49 (keep 4) _ _ _ 9 Multiply the last digit by 12, add the carry: 12 × 7 = 84, 84 + 4 = 88 _ _ 8 _ The first digits will be 36 plus the carry: 36 (+ carry): 36 + 8 = 44 4 4 _ _ So 67 × 67 = 4489.

Squaring numbers in the 60s

Square the last digit (keep the carry)   _ _ _ X

Multiply the last digit by 12, add the carry   _ _ X _

The first digits will be 36 plus the carry:   X X _ _

Example: If the number to be squared is 63:

Square the last digit (keep the carry):

3 × 3 = 9 (keep 3)     _ _ _ 9

Multiply the last digit by 12, add the carry:

12 × 3 = 36 (keep 3)    _ _ 6 _

The first digits will be 36 plus the carry:

36 (+ carry): 36 + 3 = 39    3 9 _ _

So 63 × 63 = 3969.

See the pattern?

If the number to be squared is 67:

Square the last digit (keep the carry):

7 × 7 = 49 (keep 4)     _ _ _ 9

Multiply the last digit by 12, add the carry:

12 × 7 = 84, 84 + 4 = 88    _ _ 8 _

The first digits will be 36 plus the carry:

36 (+ carry): 36 + 8 = 44  4 4 _ _

So 67 × 67 = 4489.

Grade:12

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
4 years ago
Hii

Thanks for the information but I was expectinga question .Ask a questionand we will help you readily.

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