"Subtraction of Rational Numbers" Rational numbers and their operations PPT

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"Subtraction of Rational Numbers" Rational numbers and their operations PPT

Part One Content: Basic Knowledge Key Points

Knowledge point 1: Subtraction operation of rational numbers

1. Which of the following calculations is correct (D)

A.-1-1=0 B.7-( -7 )=0

C.-3-( +3 )=6 D.0-( -4 )=4

2. Which of the following statements is correct (C)

A.The difference between 0 and any number is negative.

B. When subtracting a positive number, the difference must be greater than the minuend.

C. Subtract a positive number, the difference must be less than the minuend

D. The difference between the two numbers must be less than the minuend.

Knowledge point 2: Use subtraction of rational numbers to solve practical problems

4. The highest temperature in a certain city in 2018 was 39 ℃ and the lowest temperature was minus 7 ℃. To calculate the temperature difference in 2018, the correct formula is (A)

A.( +39 )-( -7 ) B.( -39 )+( +7 )

C.( +39 )+( -7 ) D.( +39 )-( +7 )

5. It has been measured that the highest point on land is the summit of Mount Everest, with an altitude of approximately 8844 meters, and the lowest point is located in a lake called the Dead Sea in western Asia, with an altitude of approximately -415 meters. The height difference between the two places is ( C )

A.8429 meters B.8439 meters

C.9259 meters D.9269 meters

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

6. A store sells three different brands of rice. The rice bags are marked with the following quality:

Now take out two bags of rice of different brands at random. The quality of the two bags of rice differs at most (C)

A.0.8 kg B.0.6 kg

C.0.5 kg D.0.4 kg

7. (Adapted) The figure shows the temperature (unit: ℃) at midnight, morning and noon in a certain area, then the following statement is correct (C)

A.The temperature difference between midnight and morning is 11℃

B. The temperature difference between noon and morning is 0℃

C. The temperature difference between noon and midnight is 11 ℃

D. The temperature difference between noon and morning is 3℃

8. (Original) A building has 12 floors, including 4 underground floors. Someone took the elevator from the 2 underground floors to the 8th floor above ground. The elevator went up to 9 floors in total.

9. It is known that |m-n|=n-m, |m|=4, |n|=3, then m-n= -7 or -1.

10. The heights of A, B, and C under the mine are -37.4 m, -129.8 m, and -71.3 m respectively. How many m is A higher than B? How many m is C higher than B? A is higher than C. How many meters high?

Solution: A is higher than B -37.4-(-129.8)=92.4(m),

Point C is higher than point B -71.3-( -129.8 )=58.5( m ),

Point A is -37.4-( -71.3 )=33.9( m ) higher than point C.

Subtraction of rational numbers PPT, the third part of the content: Expansion of exploration and breakthrough

11.【Reading】|4-1| represents the absolute value of the difference between 4 and 1, which can also be understood as the distance between the two points corresponding to the two numbers 4 and 1 on the number axis;| 4+1| can be seen as |4-(-1)|, which represents the absolute value of the difference between 4 and -1. It can also be understood as the corresponding number of the two numbers 4 and -1 on the number axis. The distance between two points.

(1)|4-(-1)|=　5　;

(2)|5+2|=7　;

(3) Use the number line to find all integers x that meet the conditions, such that |x+3|=5, then x=　2,-8.

(4) Use the number line to find all the integers 1,0,1,2.

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Update Time: 2024-10-18

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