"Rational Numbers" PPT courseware 4

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"Rational Numbers" PPT courseware 4

Lectures on typical questions

Example 1 If walking 8 kilometers eastward is recorded as +8 kilometers, and walking 5 kilometers westward is recorded as -5 kilometers, then what do the following numbers represent?

(1) +4 kilometers; (2) -3.5 kilometers; (3) 0 kilometers

Example 3. A maintenance team sets out from point A to repair lines on the east-west highway. If it is specified that traveling eastward is positive and traveling westward is negative, the distance traveled by this maintenance team in one day is recorded as follows (unit: kilometers): -4, +7, -9, +8, +6, -5, -3. If the car used by the maintenance team consumes 0.3 liters of fuel per kilometer, where is it at site A when the work is completed? How many liters of fuel are consumed from the start to the end of work?

Choose one

1. Which of the following statements is correct ( )

A. "5 meters to the east" and "10 meters to the west" are not opposite quantities;

B． If the balloon rises 25 meters, it is recorded as +25 meters, then -15 meters means it dropped -15 meters;

C. If the temperature drops by 6°C, it is recorded as -6°C, then +8°C means 8°C above zero;

D. If the height of 1 meter is set as standard 0, and the height of 1.20 meters is recorded as +0.20 meters, then the height represented by -0.05 meters is 0.95 meters.

2. Use positive or negative numbers to express the quantities in the following questions:

(1) If the train travels 400 kilometers eastward, it is recorded as +400 kilometers, then the train travels 4,000 kilometers westward, and it is recorded as ______;

(2) During a ball game, if you win 2 games, it will be counted as +2, then -2 means ______;

(3) If -40,000 means a loss of 40,000 yuan, then the surplus of 30,000 yuan is recorded as ______;

(4)+150 meters means 150 meters above sea level, and 200 meters below sea level should be recorded as ______;

3. (1) If the north direction is defined as positive, then what is the meaning of walking 3.5 kilometers, walking -1.2 kilometers, and walking 0 kilometers?

(2) The temperature at 12 noon is 20℃. The temperature at 2pm is 4℃ higher than that at noon. The temperature at 8pm is 5℃ lower than that at 12pm. What is the temperature at 2pm? What is the temperature at 8pm?

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Update Time: 2024-11-08

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