Numbers in General Form
Numbers in General Form
The numbers can be expressed in the following forms
Expanded form:
Any natural number can be written in the expanded form by using the place values of its digits. For example:
1.
2.
Exponential form:
Any natural number can be expressed in exponential form by using powers of 10 and the digits of the number . For example,
1.
2.
3.
General Form For a Two-digit Number:
The general form of writing any number is using the literals instead of numbers.Let us now consider a two digit number using literals a and b respectively as tens and units digits.
Using the above notations the number can be written both in expanded form or exponential form as follows:
Let us use the notation to denote this number.
i.e, or ,
Here, we have put a line over ab to distinguish it from the expression ab, which means a multiplied by b.
This is known as the generalised form of a two digit number.
General Form For a Three-digit Number:
The general form of writing any number is using the literals instead of numbers.Let us now consider a three digit number using literals a, b and c respectively as hundreds, tens and units digits.
Using the above notations the number can be written both in expanded form or exponential form as follows:
Let us use the notation to denote this number.
i.e, or ,
Here, we have put a line over abc to distinguish it from the expression abc, which means a multiplied by b and then multiplied by c.
This is known as the generalised form of a three digit number.
Illustration: What does the literal a in the general form represents for the number 365
Solution: While expressing 365 in expanded form we get
on comparing with the general form
we get a = 3.
Thus the literal a represents 3 in the general form
Simplify the expression 9a + 2b + c using the values of the literal (a) in 259, (b) in 726 and (c) in 687 when the general form is | |||
| Right Option : C | |||
| View Explanation | |||
In a two-digit number,the digit in the units place is four times the digit in the tens place and sum of the digits is equal to 10. Find the number. | |||
| Right Option : D | |||
| View Explanation | |||
Find the sum of the values of the literal (a) in the general form | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
It 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
10thThe 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
10thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thIn 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
10thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
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.
Archit Segal
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
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 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
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 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
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thAbhyas 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 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
8thMy 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
8thWhen 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
7thMy 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
9thIt 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
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
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.
