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July 24th, 2019, 03:27 PM   #1
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Calculate without calculator 1010 ^ 2-1009 ^ 2

Hello everyone,

Calculate without calculator 1010 ^ 2-1009 ^ 2

Calculate 101010 ^ 2-101009 ^ 2

Let A B C D E .... Z

1010^2-1009^2=ABCD-ABCC

=2*AB{CD+CC}=2*10{10+9}=2019

101010^2-101009^2=2*1010{10+9}=202019
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July 24th, 2019, 03:55 PM   #2
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Quote:
Originally Posted by Zouha10 View Post
Let A B C D E .... Z

1010^2-1009^2=ABCD-ABCC

=2*AB{CD+CC}=2*10{10+9}=2019
I have no idea what this means.

You can easily calculate any $\displaystyle (n+1)^2 - n^2$ without a calculator, though. It will be $\displaystyle 2n+1$ (see figure).
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July 24th, 2019, 04:04 PM   #3
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A new voice to a new math and it works
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