Graphing Rational Numbers. -5 5 0 10-10 A number line is a line with marks on it that are placed at equal distances apart. One mark on the number line.

Graphing Rational Numbers

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A number line is a line with marks on it that are placed at equal distances apart.

One mark on the number line is usually labeled zero and then each successive mark to the left or to the right of the zero represents a particular unit such as 1 or ½.

On the number line above, each small mark represents ½ unit and the larger marks represent 1 unit.

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Number lines can be used to represent:

A. Whole numbers – The set {0, 1, 2, 3, …}.

B. Positive numbers – any number that is greater than zero.

C. Negative numbers – any number that is less than zero.

D. Integers – The set of numbers represented as

{…, -3, -2, -1, 0, 1, 2, 3, …}

The arrows at the ends of the number line show that the number line continues in both directions without ending.

A number line can also be used to graph rational numbers

– What are rational numbers?– Integers– Fractions– Positive and negative numbers– Decimals– Percents

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A number can be graphed on a number line by placing a point at the appropriate position on the number line.

Example

a) {4} (blue point)

b) {integers between –10 and –5} (purple)

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Name the set of numbers that is graphed.

{-8, -4, 1, 5, 8}

We can also graph rational numbers on a number line

• Graph the following examples…

321-2 -1 0

We can also graph rational numbers on a number line

1) 1.5

321-2 -1 0

We can also graph rational numbers on a number line

1) 1.5– And the answer is…

321-2 -1 0

We can also graph rational numbers on a number line

2) - ¼

321-2 -1 0

We can also graph rational numbers on a number line

2) - ¼– And the answer is …

321-2 -1 0

We can also graph rational numbers on a number line

3) 2 7/8

321-2 -1 0

We can also graph rational numbers on a number line

3) 2 7/8– And the answer is…

321-2 -1 0

We can also graph rational numbers on a number line

4) - 1.25

321-2 -1 0

We can also graph rational numbers on a number line

4) - 1.25– And the answer is …

321-2 -1 0

We can also graph rational numbers on a number line

5) 0.75

321-2 -1 0

We can also graph rational numbers on a number line

5) 0.75– And the answer is …

321-2 -1 0

We can also graph on a coordinate plane

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)

Graph the following examples on a coordinate plane

2

1

4

3

a) (0,3.5)b) (-6,-2)

c) (2 ,3)

d) (-6.25, 9)e) (5 , 2.5)

f) (7, -4.75)