"Division of Integers" Operations of Integers PPT Courseware 2

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"Division of Integers" Operations of Integers PPT Courseware 2

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"Division of Integers" Operations of Integers PPT Courseware 2

Review & Thoughts

1. Division rule for powers with the same base: am÷an = am-n (a≠0, m and n are both positive integers, m>n)

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

2. Monomial multiplication rule

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

Knowledge points

Monomial division rule

Divide monomials,

1. Divide the coefficients by powers with the same base and use them as factors of the quotient;

2. For letters contained only in the dividend, they are used as factors of the quotient together with their exponents.

understand

Quotient = coefficient • Powers with the same base • Individual powers in the dividend formula

coefficient of dividend/coefficient of division formula

The base remains unchanged and the exponents are subtracted.

Remain in the quotient as a factor.

Practice in class

1. Calculate:

(1)(10ab3)÷(5b2);

(2)3a3÷(6a);

(3)(-12s4t6) ÷(2s2t3)2.

2. What is wrong with the following calculations? How should it be corrected?

(1) (12a³b³c)÷(6ab²)=2ab

(2) (p5q4)÷(2p3q)=2p2q3

Class practice 2

(1) (10ab3)÷(5b2)

(2) 3a3÷(6a6)·(-2a4)

(3) (3a5b3c)÷(-12a2b)

What did you learn in this lesson?

1. Monomial division rule

For monomial division, divide the coefficients and powers of the same base respectively, and then use them as factors of the quotient; for letters that are only included in the dividend, they are used as factors of the quotient together with its exponent.

In-class testing

calculate

(1) (2a6b³)÷(a³b²)

(2) (1/48x³y²)÷(1/16x²y)

(3) (3m²n³)÷(mn)²

(4) (2x²y)³÷(6x³y²)

Thinking expansion

In a flood, approximately 2.5×105 people were left homeless. If a tent covers an area of ​​100 m2, it can accommodate 40 beds.

How many tents are needed to house all the homeless people? Approximately how much space do these tents take up?

Estimate how many people can fit in your school's playground? Approximately how many such playgrounds are needed to accommodate these people?

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

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Update Time: 2024-09-27

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