Saturday, June 23, 2012

Squaring Numbers Ending in One

To square a number ending in one; e.g. 21, 51, 121, ..., first square the prior number that is ending in zero, and then add both the prior number and the number to it.


Example 1:

To square 21 (21^2):

21: the number
20: the prior number

21^2 = 20^2 + 20 + 21 = 441


Example 2:

To square 61 (61^2):

61: the number
60: the prior number

61^2 = 60^2 + 60 + 61 = 3721


Example 3:

To square 121 (121^2):

121: the number
120: the  prior number

121^2 = 120^2 + 120 + 121 = 14641



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