Friday, 20 November 2015

Squaring a number with lightning fast speed

I am assuming we all know squares upto 25

Numbers close to 50
(1) Numbers less than 50 (E.g. 42 and 37)




(2) Numbers greater than 50-
The process is almost same - Compute (N - 50)
Add this difference to 25
E.g. 56*56=
1. 56 - 50 = 6
2. Last two digits = 6 * 6 = 36
3. First two digits = 25 + 6 = 31
Therefore, 56 * 56 = 3136

Numbers close to 100
(1)Numbers less than 100



(2)Numbers greater than 100-
The process is almost same - Compute (N - 100)
Add this difference to N
E.g. 107*107=
1. 107 - 100 = 7
2. Last two digits = 7 * 7 = 49
3. First three digits = 107 + 7 = 114
Therefore, 107 * 107 = 11449

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