Square of a Four Digit Number  

Monday, November 05, 2007
Square of four digit numbers:

By using the duplex method, now let us find out the square of a four digit number. Use the similar method as you using in squaring four digit numbers in previous discussion.

Square of 1435:-

Let N = square of 1435

Step – 1 – Taking Thousands place digit first,

<<1>> = 12 = 1

Step – 2 – Taking Hundreds and Thousands place digits,

<<14>> = 2 × (1× 4) = 8

Step – 3 – Taking Thousands, Hundreds and Tens place digits,

<<143>> = 42 + 2 × (1 × 3) = 22,

Step – 4 – Taking Thousands, Hundreds, Tens and Unit place digits,

<<1435>> = 2 × ( 1 × 5 ) + 2×(4×3) = 34

Step – 5 – Taking Hundreds, Tens and Unit place digit,

<<435>> = 32 + 2(4×5) = 49
Step- 6- Taking Tens and Unit place digit,

<<35>> = 2×(3×5) = 30

Step – 7 – Taking Units place digit,

<<5>> = 52 = 25

Then,

N = 25 + (30 × 10) + (49 × 102) + (34×103) + (22×104) + (8×105) + (1×106) = 2059225.


Student practice the squaring process and you may save your time on solving the numerical.
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