Number Lines

A number line is a line that shows a range of numbers.  They are placed according to their value. It is useful for adding, subtracting, as well as multiplication and division.

A number line usually starts at zero (0) and it can show numbers from 0 to 10, 0 to 100, 0 to 1000, 0 to 10,000 etc.

Number Line - 0 to 10

The above number line shows the position of the number 7.
 

Number Line - 0 to 100

The above number line shows the position of the number 43.
 

Number Line - 0 to 1 000

The above number line shows the position of the number 860.
 
You can also plot fractions and decimals on a number line. This helps you to see the size of the fraction and compare it to the size of other fractions.

To add or subtract using the number line, you simply move the number of places up or down the line.

Example

55 + 15 = 70

In the above example, we have moved 15 places up the line from 55 to get to 70.

Example

17 - 3 = 14

In the above example, we have moved 3 places back down the line from 17, to get to 14.

Apart from addition and subtraction, a number line can also help you with multiplication and division.

Example

2 x 5 = 10

= 2 + 2 + 2 + 2 + 2 = 10

In the above example, you can see that we have used the repeated addition method to multiply. So we have moved five jumps on the number line, in intervals of two, to get to ten.

Example

8 ÷ 2 = 4

= 8 - 2 - 2 - 2 - 2 = 0

In this example, we have used the repeated subtraction method to divide. So we started at 8 and moved back in intervals of 2. We then counted that we jumped 4 times to get to 0, so we can see that 2 divides into 8 four times, with no remainder.

ACTIVITIES

Activity 1

Number Line - 0 to 10

Print this page and mark off the following numbers in the correct place on the number line:

1. 2

2. 6

3. 9

4. 1

5. 4

Activity 2

Number Line - 0 to 100

Print this page and mark off the following numbers in the correct place on the number line:

1. 15

2. 90

3. 55

4. 32

5. 77

Activity 3

Number Line - 0 to 1000

Print this page and mark off the following numbers in the correct place on the number line:

1. 220

2. 870

3. 410

4. 500

5. 650

Activity 4

Number Line - 0 to 10 000

Print this page and mark off the following numbers in the correct place on the number line:

1. 1450

2. 8800

3. 4300

4. 1550

Activity 5

Using a Number Line to Multiply and Divide

Use the number line to solve the following sums:

1. 15 x 4 =

2. 8 x 4 =

3. 10 x 3 =

4. 49 ÷ 7 =

5. 72 ÷ 6 =

6. 90 ÷ 9 =

Activity 6

More Number Lines

1. Print these number lines and fill in the missing numbers:

a.

b.

c.

2. Indicate the following fractions on both the number lines below:

3 ,
4   
1 ,
4   
2 ,
3   
1 ,
3   
1 ,
3   
1
2   



a.

b.

3. Fill in the missing decimal numbers:

a.

b.