 # 7.04 Number lines 1

Lesson

## Ideas

You may have already looked at representing fractions with  fraction bars  . Let's try this question to remember how we can use a fraction bar to model a fraction.

### Examples

#### Example 1

Which of the following shows \dfrac{1}{2} on the fraction bar?

A
B
C
D
Worked Solution
Create a strategy

The bottom number (denominator) tells us number of equal pieces the bar should be broken into. The top number (numerator) tells us the number of pieces we should shade.

Apply the idea

The fraction \dfrac{1}{2} tells us that we need to divide the shape into 2 equal parts with 1 part being shaded. This means the correct answer is Option C.

Idea summary

For a fraction bar to represent a fraction, the bottom number (denominator) tells us how many equal pieces the fraction bar should be broken into. The top number (numerator) tells us the number of pieces that should be shaded.

## Fractions on a number line

Now watch this video to learn about fractions as a point on the number line.

### Examples

#### Example 2

What value is missing from the number line below?

Worked Solution
Create a strategy

The missing fraction should be written as: \dfrac{\text{Number of spaces from zero}}{\text{Total number of equal spaces}}

Apply the idea

There are 5 equal spaces on the number line. We are counting up 3 spaces from 0 to get to the missing number.

\text{Missing number}=\dfrac{3}{5}

Idea summary

For fractions on a number line:

• The denominator (bottom number) is the number of equal parts the length from 0 to 1 is divided into.
• The numerator (top number) is how many parts the fraction is from 0.

### Outcomes

#### VCMNA136

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole