"Absolute Value" Rational Numbers and Their Operations PPT Courseware 4

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"Absolute Value" Rational Numbers and Their Operations PPT Courseware 4

1. What is a number line?

The number axis is a straight line that specifies the origin, positive direction, and unit length.

2. Three elements of the number axis

Origin, positive direction, unit length

Absolute value:

The absolute value of a number a is the distance between the point representing the number on the number axis and the origin.

What is the relationship between the absolute value of a number and the number?

1. The absolute value of a positive number is itself; if a>0, then |a|=a;

2. The absolute value of a negative number is its opposite; if a<0, then |a|=-a;

3. The absolute value of 0 is 0. If a=0, then |a|=0

Do it

(1) Represent the following numbers on the number line and compare their sizes;

-1.5, -3, -1, -5

(2) Find the absolute value of each number in (1) and compare their sizes;

(3)What did you find?

give it a try

1.The letter a represents a number, what does -a represent? -a must be a negative number?

Solution: The letter a represents a number, -a represents the opposite of a, and -a is not necessarily a negative number.

2. If | a | = 4, then a equals __________.

3. If the absolute value of a number is itself, then the number must be __________.

4. There are ___ integers whose absolute value is less than 5, and they are __________.

Absolute value (1. Geometric definition): On the number axis, the distance between the point corresponding to a number and the origin is called the absolute value of the number.

(2. Algebraic definition) The absolute value of a positive number is itself; the absolute value of a negative number is its opposite; the absolute value of 0 is 0.

The absolute value will be used to compare the size of two negative numbers: of two negative numbers, the one with a larger absolute value will be smaller.

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"Absolute Value and Negative Numbers" PPT Courseware 2:

"Absolute Value and Negative Numbers" PPT Courseware 2 Small test: state the meanings of the following and simplify them: (1)ㄧ2.3ㄧ=______ ㄧ7/4ㄧ=______ㄧ6ㄧ=______ (2)ㄧ -5ㄧ=______ ㄧ-10.5ㄧ=______ㄧ-7/4ㄧ=______ -5 opposite number..

"Absolute Value and Negative Numbers" PPT courseware:

"Absolute Value and Negative Numbers" PPT courseware Geometric meaning of absolute value On the number axis, the distance from the point representing a number to the origin is called the absolute value of the number. Teacher-student cooperation will test you and test your ability. What are the similarities and differences between the following sets of numbers? Please tell me...

"Opposite Numbers and Absolute Value" PPT Courseware 2:

"Opposite Numbers and Absolute Value" PPT Courseware 2 Learning Objective: With the help of the number line, understand the meaning of opposite numbers. Can find the opposite of a number. Key points and difficulties in learning: Key point: The concept of absolute value Difficulty point: Using absolute value to compare the size of two negative numbers Reviewing the past and learning the new...

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Update Time: 2024-07-05

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