Interesting

CALCULATION OF SQUARES:

I) Number less than 10:

  • Number to be squared, N
  • Find nearest power of 10, x
  • Delet the number from x. y= x-N
  • z=N-y
    N^2 = z y^2

Num x x-N N-y z y^2
(y) (z) (square)

9 -10 -1- 8 -81
8 -10 -2 -6 -64
7 -10 -3 -4 -49
6- 10 -4 -2- 36
5- 10- 5 -0- 25

II) Number greater than 10:

  • Number to be squared, N
  • Find nearest power of 10, x
  • Delet the number from x. y= N-x
  • z=(N+y)*x

N^2 = z + y^2

Num x N-x (N+y)*x y^2 Square
(y) (z) (z+y^2)

11 -10 -1 -120- 1 -121
21 -20- 1- 440 -1 -441
31 -30- 1- 960- 1- 961
47 -40- 7- 2160 -49- 2209
123- 120 -3 -15120- 9 -15129
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