Tuesday, 12 December 2017

Trick For Squaring 2 Digit Numbers Beginning With 9, 5, etc Mentally

Trick For Squaring 2 Digit Numbers Beginning With 9, 5, etc Mentally in less than 6 seconds.
Beginning with 9
Take a 2-Digit Number beginning with 9. Subtract it from 100. Subtract the difference from the original number:
This is the first part of the answer. Square the difference: this is the last part of the answer.
Example:
If the number is 96, subtract: 100 - 96 = 4, 96 - 4 = 92. The first part of the answer is
92 _ _ . Take the first difference (4) and square it: 4 × 4 = 16. The last part of the answer is _ _ 16.
So 96 × 96 = 9216.
See the pattern?
For 98 × 98, subtract: 100 - 98 = 2, 98 - 2 = 96. The first part of the answer is 96 _ _. Take the first difference (2) and square it: 2 × 2 = 4. The last part of the answer is _ _ 04.
So 98 × 98 = 9604.

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