Maths Shortcut for Squaring Numbers - I

Squaring the numbers:

1.     Squaring the numbers ending with 5.

352 =

Ø  Separate the 5 from the digits in front. in this case there is only a 3 in front of the 5. Add 1 to 3 get 4 (3+1= 4)
Ø  Multiply these numbers together: 3 x 4 = 12
Ø  Write the square of 5 (25) after 12. We will get 1225.


135 2  = ??
Ø  Take 13, add 1 to it we will get 14.
Ø  Then 13 x 14 = 182
Ø  Add the square of 5 next to it. We will get 18225.




SQUARING THE NUMBERS NEAR TO 50:
1.     462 =
Ø  Forty six squared means 46 x 46. Rounding upwards, 50 x 50 = 2500.
Ø  Take 50 and 2500 as our reference points.
50   462
          - 4
46 = 50-4, so 4 is a minus number. Ø  So we take 4 from the 25 hundreds.
Ø  (25-4)  x 100= 2100
Ø  To get the rest of the answer, we square the number in the minus. ( 4 2= 16)
Ø  Add 2100 and 16 we will get 2116 is the answer.


562 =
Ø  Fifty six squared means 56 x 56. Rounding upwards, 50 x 50 = 2500.
Ø  Take 50 and 2500 as our reference points.
50   562
+6
56 = 50+6, so 6 is a positive number.
Ø  So we add 6 to 25 hundreds.
Ø  (25+6)  x 100= 3100
Ø  To get the rest of the answer, we square the number in the minus. ( 62= 36)
Ø  Add 3100 and 36 we will get 3136 is the answer.


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