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Squaring a 2- digit no. 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 .

Squaring a 2- digit no. beginning with 9



  1. Take a 2-digit number beginning with 9.

  2. Subtract it from 100.

  3. Subtract the difference from the original number:
    this is the first part of the answer.

  4. Square the difference: this is the last part of the answer. 

  5. ?

 EXAMPLE


If the number is 96, subtract: 100 - 96 = 4, 96 - 4 = 92.



  1. The first part of the answer is 92 _ _ .

  2. Take the first difference (4) and square it: 4 × 4 = 16.

  3. The last part of the answer is _ _ 16.

  4. So 96 × 96 = 9216.

Grade:12th Pass

1 Answers

Sumit Majumdar IIT Delhi
askIITians Faculty 137 Points
9 years ago
Dear student,
You are perfectly correct, Let me tell you with another number:
a) Let the number be 94.
b) Subtract it from 100, we get: 6.
c) We subtract the difference from the original number i.e. 94-6=88.
d) Now we square the original difference, we get:
6\times6=36
e) Hence, the required number is
8836.
Regards

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