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.
Find the ten's digit of the number obtained in the column II while finding the square of 88. | |||
| Right Option : C | |||
| View Explanation | |||
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 ten's digit of the number obtained in the column II while finding the square of 79. | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
