Square Using Diagonal Method
Square Using Diagonal Method
This method is applicable to find the square of any number irrespective of the number of digits in the number.We follow the following steps to find the square of a number by this method.
Step I: Obtain the number and count the number of digits in it.Let there be n digits in the number to be squared.
Step II: Draw square and divide it into sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.
Step III : Draw the diagonals of each sub - square .As an illustration,let the number to be squared be 479.
Step IV: Write the digits of number to be squared along left vertical side and top horizontal side of the squares as shown below
Step V: Multiply each digit on the left of square with each digit on top of the column one - by - one.Write the unit digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub - square as shown below.
Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained.Write the unit digits of the sum and take carry ,the tens digit(if any)to the diagonal above as shown below
Step VII: Obtain the required square by writing the digits from the left - most side.
Find the sum of the numbers obtained in the second top diagonal with carry while calculating the square of 89. | |||
| Right Option : A | |||
| View Explanation | |||
The number obtained after adding the numbers present in the lowest third diagonal while finding the square of 295 is ________________________. | |||
| Right Option : B | |||
| View Explanation | |||
The number obtained after adding all the numbers in the top diagonal with carry while finding the square of 89 is ______________________ | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
My 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
8thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
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
8thMy 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
7thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
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Shreya Shrivastava
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Cheshta
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Hiya Gupta
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Aman Kumar Shrivastava
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Om Umang
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Yatharthi Sharma
10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thAbout 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.
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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.
