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 square of 86 and 54 .is ___________________. | |||
| Right Option : C | |||
| View Explanation | |||
Find the ten's digit of the number obtained in the column II while finding the square of 88. | |||
| Right Option : C | |||
| View Explanation | |||
Find the ten's digit of the number obtained in the column III while finding the square of 54 | |||
| Right Option : C | |||
| 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
10thMy 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
8thMy 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
8thOne 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
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thIt 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
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
Yatharthi Sharma
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
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
