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"Multiplication of Integers" Multiplication and Division of Integers PPT (Lesson 1)
Part 1: Monomials and monomials multiplied
Class 3 of Grade 7 held a New Year's talent show. Xiao Ming's works were two cutouts carefully made using the same size paper. As shown in the picture below, the size of the first painting is the same as the size of the paper, and the size of the second painting is Leave m spaces at the top and bottom of the paper.
(1) What is the area of the first painting in square meters?
What about the second one? How did you do it?
(2) If 1.2x in the picture is changed to mx, and other things remain unchanged, how should the areas of the two paintings be expressed?
1. What do 2x²y·3xy² and 4a2x5·(-3a3bx) equal? How do you calculate it?
2. How to perform the operation of multiplying a monomial?
3. In the process of exploring the operation rules of monomial multiplication, what operation laws and operation rules were used?
(1)2x2y·3xy2 = (2×3)(x2·x)(y·y2)= 6x3y3;
(Use the commutative law of multiplication and associative law to combine coefficients and coefficients with the same letters respectively, multiplication of rational numbers, and multiplication of powers with the same base)
(2)4a2x5 ·(-3a3bx) =[4×(-3)](a2·a3)·b·(x5·x)=-12a5bx6．
(The letter b only appears in a monomial, this letter and its exponent remain unchanged)
Monomials and the multiplication rule for monomials
To multiply a monomial by a monomial, multiply their coefficients and powers with the same base respectively. For letters contained in only one monomial, use its exponent as a factor of the product.
Note: (1) Multiplication of coefficients;
(2) Multiply the powers of the same letters;
(3) The remaining letters together with its exponent remain unchanged as factors of the product.
Multiplication of integers PPT, part 2: summary
Multiply a monomial by the "one, two, three" in the monomial:
One is unchanged: When a monomial is multiplied by a monomial, a letter contained in only one monomial, together with its exponent, remains unchanged as a factor of the product.
Two multiplications: Multiply the coefficients and powers of the same letter in each monomial.
Three tests: Whether the result of multiplying a monomial by a monomial is correct can be tested from the following three aspects: ① the result is still a monomial; ② the result contains all the letters in the monomial; ③ the exponent of each letter in the result is equal to the previous monomial The sum of exponents with the same letter in .
Multiplication of integers PPT, part 3: Class summary
Multiply a monomial by a monomial
Multiply a monomial by a monomial
In essence, it is converted into an operation of powers with the same base.
Notice
(1) Do not miss out on multiplication. (2) If there is any exponentiation operation, calculate the exponentiation first and then multiply the monomials.
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"Multiplication of Integers" PPT download of multiplication and division of integers (Lesson 2):
"Multiplication of Integers" Multiplication and Division of Integers PPT Download (Lesson 2) Part One Content: 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 polynomials; (Key Points) 2 .Master monomials and polynomials..
"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)