"Multiplication of Integers" PPT Courseware on Operations of Integers

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"Multiplication of Integers" PPT Courseware on Operations of Integers

properties of exponentiation

Ⅰ. Multiplication formulas for powers with the same base:

am·an=a(m+n)(m, n are both positive integers)

Ⅱ. The power formula:

(am)n=amn (m, n are both positive integers)

Ⅲ. The formula for the power of product:

(ab)m=ambm (m is a positive integer)

import

Question: The speed of light is about 3×105 kilometers/second, and the time it takes for the sun to shine on the earth is about 5×102 seconds. Do you know how many kilometers the distance between the earth and the sun is?

(3×105)×(5×102)

How does the above equation work?

Rules for multiplication of monomials and monomials:

To multiply a monomial by a monomial, multiply their coefficients and the same letters respectively. For letters contained in only one monomial, together with its exponent, serve as a factor of the product.

Rules for multiplying monomials and polynomials:

Summary: To multiply a monomial by a polynomial, simply multiply the monomial by each term of the polynomial and add the products.

Formula for multiplying monomials and polynomials:

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

Comments: (1) Each term of the polynomial must include the previous symbol;

(2) The monomial must be multiplied by each term in the polynomial, and the result

The number of terms is consistent with the number of terms of the original polynomial;

(3) When the monomial coefficient is negative, change the sign of each term of the polynomial.

calculate:

-2a2·(ab+b2)-5a(a2b-ab2)

Solution: Original formula=-2a3b-2a2b2-5a3b+5a2b2

=-2a3b-2a2b2-5a3b+5a2b2

=-7a3b+3a2b2

Notice:

1. Regard the "-" in -2a2 and -5a as a property symbol

2. In the result of multiplying a monomial and a polynomial, similar terms should be combined.

mathematical theory

polynomial multiplication rule

To multiply polynomials, multiply each term of one polynomial by each term of the other polynomial, and then add the resulting products.

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For more information about the PPT courseware "Multiplication of Integers and Operations of Integers", please click the Multiplication of Integers ppt Operations of Integers ppt tag.

"Multiplication of Integers" PPT courseware:

"Multiplication of Integers" PPT Courseware Part One: Review and Thinking The basis for multiplying a monomial by a polynomial is the distributive law of multiplication to addition; how to perform multiplication operations of monomials and polynomials? ① Multiply each term of the polynomial by a monomial. ② Then...

"Multiplication of Integers" PPT:

"Multiplication of Integers" PPT Part One: Review Introduction: 1. Multiplication of powers with the same base: am.an=am+n (m,n are both integers) 2. Power of powers: (am)n=amn ( m, n are both positive integers) 3. The power of the product: (ab)n=an.bn (n is a positive integer) ....

"Multiplication of Integers" Operations of Integers PPT Courseware 3:

"Multiplication of Integers" Operations of Integers PPT courseware 3 Teaching target knowledge and ability 1. Multiplication rules of integers; 2. Multiplication of monomials and polynomials; 3. Multiplication of polynomials and polynomials. Process and method 1. Experience and explore the multiplication of integers The process of operational properties..

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Update Time: 2024-09-30

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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