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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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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