SQUARING DOUBLE DIGIT NUMBERS WITHOUT CALCULATOR
To find the square of a given two digit number "ab",reduce the two digit number by the unit number(ab-b),then add the unit number to the number to get (ab+b).
Multiply (ab-b)x(ab+b) + b 2(squared).
Number
|
Square
|
Calculations
|
12
|
144
|
(12-2)x(12+2) + 22 =10 x 14 + 22= 140+4=144
|
14
|
196
|
(14-4)x(14+4) + 42 =10 x 18 + 42= 180+16=196
|
46
|
2136
|
(46-6)x(46+6) + 62 =40 x 52 + 62= 2100+36=2136
|
73
|
5349
|
(73-3)x(73+3) + 32 =70 x 76 + 32= 5320+9=5349
|
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