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"Absolute Value" Rational Numbers PPT Courseware
Explanation: Some problems in real life only focus on the specific value of the quantity, but have nothing to do with the opposite meaning, that is, they have nothing to do with positivity or negativity. For example, regarding the fuel consumption of a car, we only care about the distance traveled by the car and the price of gasoline, but not the direction of travel.
Induction: The distance from a point represented on the number axis to the origin is related to the length of the point from the origin, and has nothing to do with the sign of the number it represents.
1. (1) If the absolute value of the number a is equal to a, then may a be a positive number? Could it be zero? Could it be a negative number?
Solution: a may be a positive number, may be zero, and may not be a negative number.
(2) If the absolute value of the number a is greater than a , is it possible that a is a positive number? Could it be zero? Could it be a negative number?
Solution: a cannot be a positive number, cannot be zero, and must be a negative number.
(3) Is it possible that the absolute value of a number is less than itself?
Solution: The absolute value of a number cannot be less than itself.
Decide whether the following statements are correct
(1) Numbers with opposite signs are opposites of each other ( )
(2) Numbers with opposite signs and equal absolute values are opposites of each other ( )
(3) The larger the absolute value of a number, the further to the right its point is on the number axis ( )
(4) The larger the absolute value of a number, the farther its point is from the origin on the number axis ( )
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"Absolute Value and Negative Numbers" PPT Courseware 2:
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"Absolute Value and Negative Numbers" PPT courseware:
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"Opposite Numbers and Absolute Value" PPT Courseware 2:
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