"Division of Integers" Multiplication and Division of Integers PPT (Lesson 1)

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"Division of Integers" Multiplication and Division of Integers PPT (Lesson 1)

Part One: Learning Objectives

1. Be able to perform a simple operation of dividing a monomial by a monomial (the result is an integer);

2. Experience the process of exploring the rule of dividing a monomial by a monomial, and understand the arithmetic of dividing a monomial by a monomial;

3. Understand the role of analogy methods in exploration, and develop organized thinking, expression and computing abilities.

Division of integers PPT, part 2: review review

1. Rules for multiplying monomials and monomials:

Generally, when multiplying 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.

2. Division rules for powers with the same base:

When powers with the same base are divided, the base remains unchanged and the exponents are subtracted.

That is: am÷an=am-n (a≠0, m, n are all positive integers, and m≥n).

So what if a monomial is divided by a monomial?

PPT on division of integers, part three: exploring new knowledge

Rule for dividing monomials by monomials:

Generally, when dividing monomials, the coefficients and powers with the same base are divided respectively as factors of the quotient. For letters contained only in the dividend, the letters together with its exponent are used as a factor of the quotient.

Division of integers PPT, Part 4: Typical examples

Example 3． If a(xmy4)3÷(3x2yn)2=4x2y2, find the values ​​of a, m and n.

Solution: ∵a(xmy4)3÷(3x2yn)2＝4x2y2, ∴ax3my12÷9x4y2n＝4x2y2, ∴a÷9＝4, 3m-4＝2, 12-2n＝2,

The solution is a=36, m=2, n=5.

Example 4. The speed of light is about 3×108 meters/second, and the speed of an artificial earth satellite is 8×103 meters/second. How many times is the speed of light than the speed of the artificial earth satellite?

Solution: (3×108)÷(8×103)=(3÷8)·(108÷103)=3.75×104.

Answer: The speed of light is 3.75×104 times the speed of this artificial earth satellite.

PPT on division of integers, part 5: practice in class

1. Are the following calculations correct? If it is incorrect, correct it.

2. (1) The result of calculating (4x2y2z)÷(-3xy2) is ( ).

(2) Which of the following operations is correct ( ).

A． (6x6)÷(3x3)＝2x2 B. (8x8)÷(4x2)＝2x6

C. (3xy)2÷(3x)=y D. (x2y2)÷(xy)2=xy

Division of integers PPT, Part 6 content: Class summary

Rule for dividing monomials by monomials:

Generally, when dividing monomials, the coefficients and powers with the same base are divided respectively as factors of the quotient. For letters contained only in the dividend, the letters together with its exponent are used as a factor of the quotient.

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"Division of Integers" PPT courseware for multiplication and division of integers (Lesson 2):

"Division of Integers" Multiplication and Division of Integers PPT Courseware (Lesson 2) Part 1: Think about it 1. Division formulas for powers with the same base: aman=am-n (a0 m n are all positive integers). 2. Divide a monomial by a monomial Rules: 1. Divide coefficients; 2. Divide powers with the same base; 3..

"Division of Integers" PPT courseware for multiplication and division of integers (Lesson 1):

"Division of Integers" Multiplication and Division of Integers PPT Courseware (Lesson 1) Part One: Think about it 1. Division formulas for powers with the same base: aman=am-n (a0 m n are all positive integers). 2. Multiply a monomial by a monomial Rule: Multiply a monomial by a monomial and make the coefficients the same...

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

"Division of Integers" Multiplication and Division of Integers PPT (Lesson 2) Part 1: Learning Objectives 1. Understand the arithmetic of dividing polynomials by monomials, and be able to perform simple operations of dividing polynomials by monomials; 2. Experience exploring the division of polynomials by monomials The process of algorithm...

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Update Time: 2024-11-25

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