"Multiplication of Integers" Operations of Integers PPT Courseware 2

Description

"Multiplication of Integers" Operations of Integers PPT Courseware 2

target guidance

1. Master the operational properties of positive integer powers, and be able to apply the properties to perform operations skillfully.

2. Master the operation rules of integer multiplication and be able to use the rules to perform simple integer multiplication operations.

3. Be able to flexibly use the square difference formula and the perfect square formula for calculations.

4. Be able to use multiplication of integers to solve some mathematical problems and practical problems. Experience the important role of integer multiplication in mathematical transformation.

Example 1 ① Known: x2-4=0

Find the value of the algebraic expression x(x+1)2-x(x2+x)-x-7.

②Known (2a＋2b+1) (2a＋2b-1)=63

Find the value of a+b.

①Solution: Original formula=x(x2+2x+1)-x3-x2-x-7

＝x3＋2x2＋x－x3－x2－x－7

=x2-7

∵ x2－4＝0

∴ x2＝4

∴ Original formula=4-7=-3

②Solution: ∵(2a+2b+1)(2a+2b-1)=63

∴ [(2a＋2b)＋1] [(2a＋2b)－1]＝63

∴ (2a＋2b)2-1＝63

∴ 4(a+b)2＝64

∴ (a＋b)2＝16

From the meaning of the square root, we can get a+b=±4

This question cannot directly derive the values ​​of a and b due to conditions, so (a+b) should be treated as a whole.

Example 2: A shopping mall sells color TVs with a purchase price of 3,000 yuan each at a sales price of x yuan. Y units can be sold every day. If the price of this brand of color TV is reduced by 100 yuan per unit, 3 more units can be sold every day, making an extra profit of 1,800 yuan. If the price of each unit increases by 100 yuan, 2 units will be sold less every day and the profit will be 1,400 yuan less. What was the original daily sales profit?

Solution: According to the meaning of the question:

(x-100-3000) (y+3) = (x-3000)y+1800

(x+100-3000) (y-2) = (x-3000)y-1400

Transformed into:

xy + 3x -3100y - 9300＝xy-3000y +1800

xy - 2x -2900y + 5800＝xy-3000y-1400

Simplified:

3x-100y=11100

2x-100y=7200

Solutions have to:

x=3900

y=6

Study guide

1. When performing integer operations, you must first correctly grasp the order of operations. In each step of the operation, it is necessary to clearly see the type of operation and correctly apply the properties and rules of the operation. During the calculation process, always pay attention to the symbols;

2. The multiplication formula is the focus and difficulty of this section. It is an important tool for calculation, simplification and evaluation. The formulas and the relationships between them must be clearly understood;

3. The properties and rules of various operations must be understood from both positive and negative aspects and be used flexibly;

4. When solving problems, pay attention to combining the problem conditions and goals, and consider the problem as a whole.

Keywords: Integer operation teaching courseware, Integer multiplication teaching courseware, Beijing Normal University edition seventh grade mathematics volume 2 PPT courseware, seventh grade mathematics slide courseware download, Integer operation PPT courseware download, Integer multiplication PPT courseware download,. ppt format

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

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 2 industry PPT template

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