"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT (Lesson 1)

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"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT (Lesson 1)

Part One Content: Basic Knowledge Key Points

Knowledge point 1: The multiplication rule of rational numbers

1. The correct number calculated by the following formula is (B)

①3×( -4 )=-12; ②( -4 )×( -6 )=24; ③( -5 )×( -1 )=-5; ④( -2 )×12=24.

A.1 B.2 C.3 D.4

2. If the product of two rational numbers is a negative number and the sum is also a negative number, then the two rational numbers (D)

A. Same sign and both are negative numbers

B. Different signs and the absolute value of a positive number is greater than the absolute value of a negative number

C. Same sign and both are positive numbers

D. Different signs and the absolute value of a negative number is greater than the absolute value of a positive number

3. Multiply any two numbers among the four numbers -2, 3, -4, and -5, and the product with the largest result is (A)

A.20 B.-20 C.10 D.8

Multiplication of rational numbers PPT, part 2: improvement of comprehensive ability

7. Which of the following statements is wrong (D)

A. The opposite number is itself 0

B. The reciprocal is -1 and 1

C. The number with the smallest absolute value is 0

D. Any rational number has a reciprocal

8. As shown in the figure, which of the following is correct (B)

A.a+b>0 B.a-b>0

C.ab>0 D.|b|<|a|

9. We use the operation of rational numbers to study the following problem. It is stipulated that the rising water level is positive and the falling water level is negative; it is positive a few days later and negative a few days ago. If the water level drops 4 cm every day, then the water level change after 3 days is calculated by the formula The correct representation is (C)

A.( +4 )×( +3 ) B.( +4 )×( -3 )

C.( -4 )×( +3 ) D.( -4 )×( -3 )

10. If the product of four unequal integers is 4, then the sum of these four numbers is (A)

A.0 B.6 C.-2 D.2

Multiplication of Rational Numbers PPT, Part 3: Expansion, Research and Breakthroughs

12. Specify a new operation "*". Two numbers a and b are calculated by "*" to obtain (a+2)×2-b, that is, a*b=(a+2)×2-b. For example, 3* 5=(3+2)×2-5=10-5=5. Answer the following questions according to the above regulations:

(1) Find the value of 7*(-3);

Are the values ​​of (2)7*(-3) and (-3)*7 equal?

Solution: (1)7*(-3)=(7+2)×2-(-3)=21.

(2) Because (-3)*7=[(-3)+2]×2-7=-9,

So the values ​​of 7*(-3) and (-3)*7 are not equal.

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Update Time: 2024-10-21

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