Properties of Square - Based on Ending Digits
Properties of Square - Based on Ending Digits
Property 1
A number having 2, 3, 7 or 8 at units place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8.
Application: Check the digit at units place of the given number. If it is one of the digit 2, 3, 7 and 8, then the given number is not a perfect square.
Illustration: None of the numbers 152, 7693, 14357, 88888, 798328 is a perfect square.
Property 2:
The number of zeros at the end of a perfect square is always even.
In other words, a number ending in an odd number of zeros is never a perfect square.
Verification: Consider the following tables:
| Number | Number of zeros at units place | Square of the number | Number of zeros at the units place of the square number |
| 10 | 1 | 100 | 2 |
| 20 | 1 | 400 | 2 |
| 200 | 2 | 40000 | 4 |
| 2500 | 2 | 6250000 | 4 |
| 5000 | 3 | 25000000 | 6 |
| 20000 | 4 | 400000000 | 8 |
Remark: It should be noted that number which ends in an odd number of zeros , we can not be a perfect square. For example, 2500 is a perfect square but, 2600, 44700 etc. are not perfect squares.
Property 3:
Squares of even numbers are always even numbers and squares of odd numbers are always odd numbers.
Verification: This fact can be easily verified by analysing the squares of natural numbers upto 15. However, the result is true in general.
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Square numbers can have _______________ at the end. | |||
| Right Option : B | |||
| View Explanation | |||
The number of zeros at the end of a perfect square is always ______________ . | |||
| Right Option : C | |||
| View Explanation | |||
Square of 17 will be an ____ number . | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
The experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
10thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
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
10thThird 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
8thAbhyas 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
10thWe 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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Hiya Gupta
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Upmanyu Sharma
7thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thAbout 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
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Prisha Gupta
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Hridey Preet
9thI 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
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Cheshta
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
10thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
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Barkha Arora
10thA 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.
