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Squares and Square Roots
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08/08/2021 10:55 am
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Observe the following pattern and find the missing numbers.
112 = 121
1012 = 10201
10012 = 1002001
1000012 = 1 …….2………1
100000012 = ……………………..
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08/08/2021 10:56 am
We observe that the square on the number on R.H.S of the equality has an odd number of digits such that the first and last digits both are 1 and middle digit is 2. And the number of zeros between left most digits 1 and the middle digit 2 and right most digit 1 and the middle digit 2 is same as the number of zeros in the given number.
∴ 1000012 = 10000200001
100000012 = 100000020000001