Square Using Column Method
Square Using Column Method
This method is convenient for finding squares of two digit numbers only.As the number of digits increases ,this method becomes difficult and time-consuming.This method uses the identity for finding the square of a two digit number ab (where a is the tens digit and b is the units digit).
We follow the following steps to find the square of a two digit number ab (where a is the tens digit and b is the units digit).
Step I: Make three columns and write the value of respectively in these columns as follows :
As an illustration let us take ab = 57.
.
| Column I | Column II | Column III |
| 25 | 70 | 49 |
Step II : Underline the units digit of ( in column III ) and add its ten digit,if any,to
( in column II )
|
Column I |
Column II |
Column III |
| 25 |
70 +4 |
|
| 74 |
Step III : Underline the unit digits in column II and add the number formed by tens and other digit , if any , to in column I.
|
Column I |
Column II |
Column III |
|
25 +7 |
70 +4 |
|
| 32 |
Step IV: Underline the number in column I
|
Column I |
Column II |
Column III |
|
25 +7 |
70 +4 |
|
| 32 | 4 | 9 |
Step V: Write the underlined digits at the bottom of each column to obtain the square of the given number.
In this case ,we have
Illustration: Find the square of 96 using column method.
What is the ten's digit of the number obtained in the column II while finding the square of 99. | |||
| Right Option : B | |||
| View Explanation | |||
Find the square of 99 using column method.
| |||
| Right Option : B | |||
| View Explanation | |||
Find the square of 86 and 54 .is ___________________. | |||
| Right Option : C | |||
| View Explanation | |||
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