Real Number Line-notes

  • June 2020
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The Real Number Line Integers (Whole #'s and their opposites) Whole Numbers (Natural #'s and 0) Natural Numbers (counting)

-3

-2

-1

0

1

2

Negative Numbers

3 Positive Numbers

The numbers used in Algebra are called Real Numbers and can be pictured on a horizontal line called the Real Number Line. The point labeled 0 is called the Origin The scale marks are equally spaced and represent integers. An integer is either negative, positive, or zero. …,-3, -2, -1, 0, 1, 2, 3,... The three dots on each side of the list above indicate that the list continues in both directions without end. For instance, the integer immediately to the left of -3 is -4, read as negative four. Remember Left is Less.

The real number line has points that represent integers, fractions, and decimals. The point that corresponds to a number is called the graph of the number and drawing the point is called graphing the number or plotting the point. EXAMPLE 1: Graphing Real Numbers Graph the points 1/2 and -2.3 on the number line.

-3 graph of -2.3

-2

1 -1 0 graph of 1/2

2

3

YOUR TURN: Graph and label -4, 1.75, and -3/4 on the numberline above.

The Real Number Line

-3

-2

-1

0

1

2

3

The numbers used in Algebra are called Real Numbers and can be pictured on a horizontal line called the Real Number Line. The point labeled 0 is called the _______________________. The scale marks are equally spaced and represent integers. An integer is either negative, positive, or zero. …,-3, -2, -1, 0, 1, 2, 3,... The three dots on each side of the list above indicate that the list continues in both directions without end. For instance, the integer immediately to the left of -3 is -4, read as negative four. Remember Left is Less.

The real number line has points that represent integers, fractions, and decimals. The point that corresponds to a number is called the graph of the number and drawing the point is called graphing the number or plotting the point. EXAMPLE 1: Graphing Real Numbers Graph the points 1/2 and -2.3 on the number line.

-3 graph of -2.3

-2

1 -1 0 graph of 1/2

2

3

YOUR TURN: Graph and label -4, 1.75, and -3/4 on the numberline above.

al #'s and 0) (counting)

mbers

ist continues diately to the

ons, and

g the number

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