"Multiplication of Integers" Multiplication and Division of Integers PPT Download (Lesson 2)

"Multiplication of Integers" Multiplication and Division of Integers PPT Download (Lesson 2)

Part One: Learning Objectives

1. Be able to explore the rules for multiplying monomials and polynomials based on the distributive law of multiplication and the rules for multiplying monomials and monomials; (Key points)

2. Master the rules for multiplying monomials and polynomials and be able to apply them. (Difficulty)

Multiplication of integers PPT, part 2: knowledge review

1. The multiplication rule of monomials and monomials

To multiply a monomial by a monomial, multiply their coefficients and powers with the same letters, leaving the remaining letters and their exponents unchanged as factors of the product.

2. What are the terms of a polynomial?

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

Please tell me the terms and coefficients of the polynomial 3x2+2x+5

Multiplication of integers PPT, the third part: knowledge explanation

Question: In order to expand the green area, a certain place plans to widen the rectangular flower and grass isolation belt m meters long and b meters wide on a section of highway to both sides by a meter and c meters respectively. As shown in the figure, you can use several methods to express the expansion. What is the area of ​​the flower and grass isolation zone at the end? What is the relationship between different representation methods?

Method 1: m(a+b+c)

Method 2: ma+mb+mc

Distributive law of multiplication: m(a+b+c) =ma+mb+mc

Thinking: How to calculate: (-4x2)·(3x+2xy)

Multiplication Rules for Monomials and Polynomials

Multiplying a monomial by a polynomial means multiplying each term of the polynomial by a monomial according to the distributive law of multiplication, and then adding the resulting products.

The letter representation is as follows: p(a+b+c)=pa+pb+pc

Note: (1) The basis is the distributive law of multiplication;

(2) The number of terms of the product is the same as the number of terms of the polynomial.

Example 1 Calculation:

(1) 2ab(5ab2+3a2b);

(3) 5m2n(2n+3m-n2);

(4) 2(x+y2z+xy2z3)·xyz;

Multiplication of integers PPT, part 4: in-class training

1. Which of the following calculations is wrong ( )

(A)5x(2x2-y)=10x3-5xy

(B)-3xa+b •4xa-b=-12x2a

(C)2a2b·4ab2=8a3b3

(D)(-xn-1y2)•(-xym)2=xnym+2

2. Judgment

m(a+b+c+d)=ma+b+c+d( )

Multiplication of integers PPT, Part 5: Class Summary

Multiply a monomial by a polynomial

In essence, it is converted into monomial × monomial

Notice

(1) When calculating, pay attention to the sign issue. Each term in the polynomial includes the sign before it. When the monomial is multiplied by each term of the polynomial, the multiplication with the same sign will be positive, and the multiplication with different signs will be negative.

(2) Don’t miss out on multiplication

(3) Operations must be in order: first exponentiation, then multiplication and division, and finally addition and subtraction

(4) For mixed operations, note that similar items should be merged at the end

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"Multiplication of Integers" PPT download of multiplication and division of integers (Lesson 1):

"Multiplication of Integers" Multiplication and Division of Integers PPT Download (Lesson 1) Part One Content: Learning Objectives 1. Master the operation rules of multiplying monomials and monomials. (Key Points) 2. Be able to flexibly perform operations of multiplying monomials and monomials. (Difficulty) ... ... ...

"Multiplication of Integers" Multiplication and Division of Integers PPT (Lesson 3):

"Multiplication of Integers" Multiplication and Division of Integers PPT (Lesson 3) Part 1: Problem of multiplying polynomials by polynomials 1 (a+b)X= ? (a+b)X=aX+bX When X=m+n (a +b)

"Multiplication of Integers" Multiplication and Division of Integers PPT (Lesson 2):

"Multiplication of Integers" Multiplication and Division of Integers PPT (Lesson 2) Part One Content: Multiplying Monomials and Polynomials Rules for Multiplying Monomials by Polynomials When multiplying monomials and polynomials, multiply the monomials by each term of the polynomial, and then multiply the resulting Add products. Note:..