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 | |||
What does the literal (c) in the general form | |||
| Right Option : D | |||
| View Explanation | |||
Find the product of the values of the literal (a) in 325, (b) in 526 and (c) in 987 when the general form is | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
It 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 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
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
10thI 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
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 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
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
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
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
7thBeing 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.
