"Multiplication of Monomials" PPT courseware

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"Multiplication of Monomials" PPT courseware

think about it

1. How to perform multiplication of monomials?

Coefficients of a monomial?

Powers of the same letter?

Letters contained only in a monomial?

(coefficient × coefficient) × (multiplying powers with the same letter) × individual powers

To multiply monomials, multiply their coefficients and multiply the powers of the letter parts with the same base respectively. For letters contained in only one monomial, use its exponent as a factor of the product.

2. What is a polynomial?

The sum of several monomials is called a polynomial.

3. What are the terms of a polynomial?

In a polynomial, each monomial is called a term of the polynomial.

Name the terms of the polynomial 2x2+3x-1 and the coefficients of each term

Introduction of new courses

Uncle Wang has a rectangular vegetable plot. He divides the vegetable plot into 6 equal-sized vegetable plots. Each vegetable plot is a meter wide and ka meters long. There is a 0.5 meter wide strip on both sides of the vegetable plot. path. How to find the area of ​​a vegetable plot including paths?

You can list the multiplication formula 2a.(3ka+1) for calculation

2a.(3ka+1) = 2a.3ka+2a= 6ka2+2a

The area of ​​the vegetable plot is the sum of the area of ​​the vegetable plot and the area of ​​the two sections of paths, that is, 6ka2+2a

2a.(3ka+1) =6ka2+2a

Assume the length of the rectangle is (a+b+c) and the width is m, then the area is:

m(a+b+c)

This rectangle can be divided into three small rectangles with width m and lengths a, b, and c. The sum of their areas is ma+mb+mc

∴ m(a+b+c)=ma+mb+mc

Observe what characteristics these two expressions have?

m(a+b+c) =ma+mb+mc

2a.(3ka+1) = 6ka2+2a

Think: Can you tell the rule for multiplying monomials and polynomials?

A few points to note:

1. The result of multiplying a monomial by a polynomial is a polynomial, and the number of terms in the product is the same as the number of terms in the original polynomial.

2. When multiplying a monomial by each term of a polynomial, pay attention to the determination of the signs of each term of the product:

Multiplication with the same sign is positive, multiplication with different signs is negative.

3. Don’t miss out on multiplication, and the operations must be in order.

Review exchange:

What did we learn in this lesson?

What is the basis for multiplying a monomial by a polynomial?

How to multiply monomials and polynomials?

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For more information about the "Multiplication of Monomials" PPT courseware, please click the Multiplication of Monomials ppt tab.

"Multiplication of Monomials" PPT courseware 3:

"Multiplication of Monomials" PPT courseware 3 Review of old knowledge 1. am an=am+n (m, n are positive integers) Multiply the powers with the same base, the base remains unchanged, and the exponents are added. 2. (am) n=amn (m, n) is a positive integer) raised to the power, the base remains unchanged, and the exponents are multiplied. 3. (ab)..

"Multiplication of Monomials" PPT Courseware 2:

"Multiplication of Monomials" PPT Courseware 2 The algebraic expression composed of the multiplication of numbers and letters or letters and letters is called a monomial. Pre-class exercises 1. (Oral answer) Calculation: (1) a5 a5= a10 (2) (a5)5= a25 (3) a5 +a5= 2a5 (4) (ab)5= a5b5 (5)..

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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