Maths Project Class 7 - Algebraic Expression Chapter 12 NCERT

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Maths Project Class 7 - Algebraic Expression Chapter 12 NCERT
๐™Š๐™ฉ๐™๐™š๐™ง ๐˜ผ๐™ง๐™ฉ ๐™„๐™ฃ๐™ฉ๐™š๐™œ๐™ง๐™–๐™ฉ๐™š๐™™ ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ ๐Ÿ‘‡:

๐™ˆ๐™–๐™ฉ๐™๐™จ ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ๐™จ๐Ÿ‘‡:

๐™€๐™ฃ๐™œ๐™ก๐™ž๐™จ๐™ ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ๐™จ๐Ÿ‘‡:

๐™Ž๐™˜๐™ž๐™š๐™ฃ๐™˜๐™š ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ๐Ÿ‘‡:

๐™Ž๐™˜๐™ž๐™š๐™ฃ๐™˜๐™š ๐™€๐™ญ๐™ฅ๐™š๐™ง๐™ž๐™ข๐™š๐™ฃ๐™ฉ ๐™ค๐™ง ๐˜ผ๐™˜๐™ฉ๐™ž๐™ซ๐™ž๐™ฉ๐™ž๐™š๐™จ๐Ÿ‘‡:

๐™ƒ๐™ž๐™ฃ๐™™๐™ž ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ๐Ÿ‘‡:

๐™Ž๐™Ž๐™ ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ:
๐™Ž๐™Ž๐™ ๐™‹๐™ง๐™ค๐™Ÿ๐™š๐™˜๐™ฉ: ๐™๐™ฉ๐™ฉ๐™ฅ๐™จ://๐™ฌ๐™ฌ๐™ฌ.๐™ฎ๐™ค๐™ช๐™ฉ๐™ช๐™—๐™š.๐™˜๐™ค๐™ข/๐™ฅ๐™ก๐™–๐™ฎ๐™ก๐™ž๐™จ๐™ฉ?๐™ก๐™ž๐™จ๐™ฉ=๐™‹๐™‡๐™•7๐™ข๐™ฆ๐™Ž๐™–0๐™€๐™ฆ_0๐™ค๐™ฆ87๐™‹7๐™๐™˜๐™‚3๐™™๐™“6๐™ฆ๐™ฎ๐™–๐™ฅ๐™‰๐™๐™‡๐™จ
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Description:

Algebraic Expression:
An algebraic expression is an expression that is made up of variables, constants, coefficients, and arithmetic operations. These are the different parts of the algebraic expression.

Let us consider an expression, 2x+4y-9

Here, the parts of the expression are:

Coefficients are 2 and 4
Constant is 9
Variables are x and y
Terms are 2x, 4y and y
Mathematical operators used are plus (+) and minus (-).

What are Terms in an Expression?
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4x + y, the two terms are 4x and y.

What are the Factors of a Term?
The numbers or variables that are multiplied to form a term are called its factors. For example, 5xy is a term with factors 5, x and y.
The factors cannot be further factorized.

What is a Coefficient in an Expression?
A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables. For example, in the term 2x, 2 is the coefficient.

The variables which do not carry any number along with them, have a coefficient of 1. For example, the term y has a coefficient of 1. For example, in the expression 5ab, 5 is the coefficient.

Types Of Algebraic Expressions:

Monomial:
An algebraic expression that has only one term is known as a monomial.
Eg: 9xy, -pl, 7zยฒ, 9 etc

Binomial:
An algebraic expression with two different terms is called Binomial.
Eg: aยฒ+bยฒ, a+5

Trinomial:
An algebraic expression with three different terms is called trinomial.
Eg: 9yยฒ+5y+7, x+y+9

Polynomial:
An algebraic expression that has one or more terms is called polynomial.
Monomial, binomial and trinomial are all polynomials.
For a polynomial all the powers are positive. It should not have any negative or fractional form powers except positive integers

Operation On Algebraic Expression:

1-Addition and subtraction
2- multiplication
3-identity
4-Division

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