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By using the duplex method, now let us find out the square of a three digit number. Use the similar method as you using in squaring two digit numbers in “SQUARE OF A – THREE DIGIT NUMBER”.

1. Square of 452 :-

Let N = square of 452
Step – 1 –: Taking Hundreds place digit first,
<< 4 >> = square of 4 = 16
Step – 2 –: Taking Hundreds and Tens place digits,
<< 45 >> = 2 × (4 × 5) = 40
Step – 3 –: Taking Unit, Tens and Hundreds place digits,
<< 452 >> = 52 + 2 × (4 × 2) = 41,
Step – 4 –: Taking Tens and unit place digits,
<<52>> = 2 × ( 5 × 2 ) = 20
Step – 5 –: Taking Unit place digit,
<<2>> = square of 2 = 4
Then,
N = 4 + (20 × 10) + (41 × 100) + (40×1000) + (16×10000) = 204304.

2. Square of 879 :-

Let N = Square of 879
Step – 1 –: Taking Hundreds place digit first,
<< 8 >> = square of 8 = 64
Step – 2 –: Taking Hundreds and Tens place digits,
<< 87 >> = 2 × ( 8 × 7 ) = 112
Step – 3 –: Taking Unit, Tens and Hundreds place digits,
<< 879 >> = 72 + 2 × (8 × 9) = 193,
Step – 4 –: Taking Tens and unit place digits,
<< 79 >> = 2 × ( 7 × 9 ) = 126
Step – 5 –: Taking Unit place digit,
<< 9 >> = square of 9 = 81
The required square is,
N = 81 + (126 × 10 ) + (193 × 100) + (112 ×1000) + (64 ×10000) = 772641.
Student practice the squaring process and you may save your time on solving the numerical. Portugues | Francais | Espanol | Deutsche | Italiano | Chinese | Korean | Japanese