"Division of Integers" Multiplication, Division and Factorization of Integers PPT Courseware 2

Description

"Division of Integers" Multiplication, Division and Factorization of Integers PPT Courseware 2

1. Scenario introduction

1. Question: The mass of Jupiter is about 1.90×1024 tons. The mass of the earth is approximately 5.08×1021 tons. Do you know that the mass of Jupiter is approximately how many times the mass of the Earth?

This is a division operation. The mass of Jupiter is approximately (1.90×1024) ÷ (5.98×1021) times the mass of the Earth.

How to calculate (1.90×1024)÷(5.98×1021)?

2. Exploring new knowledge

Discussion: (1) Calculate (1.90×1024)÷(5.98×1021). Tell me what is the basis for your calculation?

It can be considered from two aspects:

1. From the perspective of multiplication and division being inverse operations of each other.

We can imagine 5.98×1021•( )=1.90×1024． According to the operation rule of multiplying monomial and monomial, you can continue to think: the coefficient of the desired monomial multiplied by 5.98 is equal to 1.90, so the coefficient of the desired monomial is 1.90÷5.98≈0.318, and the power part of the desired monomial should contain 1024÷ 1021 is 103, so it can be seen that (5.98×1021)•(0.318×103)=1.90×1024. So (1.90×1024)÷(5.98×1021)=0.38×103．

Discussion: (1) Calculate (1.90×1024)÷(5.98×1021). Tell me what is the basis for your calculation?

(2) Can you use the method in (1) to calculate the following expressions? 8a3÷2a; 5x3y÷3xy; 12a3b2x3÷3ab2.

Can you describe in words the algorithm for dividing a monomial by a monomial?

For the division of monomials, divide the coefficients and powers with the same base respectively and then use them as factors of the quotient; for letters contained only in the dividend, they are used together with their exponents as a factor of the quotient.

1. What is the rule of monomial division?

For the division of monomials, divide the coefficients and powers with the same base respectively and then use them as factors of the quotient; for letters contained only in the dividend, they are used together with their exponents as a factor of the quotient.

2. What is the rule for dividing a polynomial by a monomial?

Divide a polynomial by a monomial: Divide each term of the polynomial by the monomial, then add the resulting quotients.

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Update Time: 2024-09-26

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