math ma tics presentation

8/6/2019 Math Ma Tics Presentation

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MATHEMATICS

PRESENTATION

Name AVINASH KUMARSHARMA

CLASS VIII A



As you know expressions are formed from

variables and constant .The expressions 2y-5 isformed from the variable y and constants 2 and 5.The expressions 4xy+7 is formed from variables x

and y and constant 4 and 7.



INTRODUCTION

There are number of situations in which weneed to multiply algebraic expressions: forexample, in finding area of a rectangle , thesides of which are given as expressions. A

monomial multiplied by a monomial alwaysgives a monomial. While multiplying a

polynomial by a monomial, we multiply everyterm in the polynomial by the monomial.



TERMS , FACTORS ANDCOEFFICIENT

Take the expressions 4x+5. This expressions is made upof two terms , 4x and 5. TERMS are added to form

expressions. Terms themselves can be formed as theproduct of factors. The term 4x is the product of itsfactors 4 and x. The term 5 is made up of just one

factors , 5.The numerical factor of a term is called itscoefficients. The coefficient in the term 7xy is 7 and

the coefficients in the term is -5x is -5.



MONOMIALS , BINOMIALSAND POLYNOMIALS

Expressions that contains only one term is calledMONOMIAL. Expressions that contains two term iscalled is BINOMIAL. One or more terms with non-zero

coefficient is called a polynomial.Example of monomial: 3xy, -7z, 10y, -9, 82mnp, etc.

Example of binomial: a+b, 4l+5m, a+4, 5-3xy,etcExample of polynomial: a+b+c+d, 3xy, 7xz-10, 2x+3y+7z,

etc



Q ue. Classify the followings polynomials asmonomials, binomials and trinomials:-z+5, x+y+z, y+z+100, ab-ac, 17

Sol. The given polynomials are classified as under:

Monomials: 17Binomials: -z+5, ab-acTrinomials: x+y+z, y+z+100



Q ue. Construct:a. 3 binomial with only x as a variables:Sol: 3 binomials with only x as a variables may be

taken as 2x-3, 3x+2,5-x.

b. 3 binomial with x and y as variables:Sol: 3 binomial with x and y as variables may be

taken as 3x+4y,xy-5,5x-y.



LIKE AND UNLIKE TERMS

Like terms are formed from the same variables

and the powers of these variables are the sametoo. Coefficients of like terms used not be thesame. While adding polynomials, first look for

like terms and add or subtract them; thenhandle the unlike terms.



EXAMPLES1. Look at the following expressions:

7x,14x,-13x,7y,7xy,-5yxLike terms from these are:(i) 7x,14x,-13x are like terms.(ii) 7xy and -5yx are like terms.

2. Write two terms which which arelike: 7xy

Ans. Two terms are: - 5xy & -3xy.



Q ue. 1 Why are 7x and 7y not like?Ans. 7x and 7y have different literal factors,

so they are not like.

Q ue. 2 Why are 7x and 7xy not like?Ans. 7x and 7xy have different literal factors, so

they are not like.

Q ue. 3 Write two like terms for 2lSol. Two terms are 3l,-4l.



POINTS TO REMEMBER1. A combination of constants and variables

connected by + and is called an ALGEBRICEXPRESSIONS.

2. The several parts of the expressionsseparated by + or sign are called TERMS.

3. The sum or difference of several like terms isanother like term whose coefficient is the

sum or difference of those like terms.4. If x is any variable and m , n are positive

integers.

math ma tics presentation

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