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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

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.


7 years ago

Sumit Majumdar
IIT Delhi
137 Points
							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:66=36e) Hence, the required number is8836.Regards

6 years ago
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Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions