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Year 7 Interactive Maths - Second Edition


Representation of Decimals on a Number Line

To represent a decimal on a number line, divide each segment of the number line into ten equal parts.

E.g.  To represent 8.4 on a number line, divide the segment between 8 and 9 into ten equal parts.

8.4 represented on a number line

The arrow is four parts to the right of 8 where it points at 8.4.


Likewise, to represent 8.45 on a number line, divide the segment between 8.4 and 8.5 into ten equal parts.
8.45 represented on a number line

The arrow is five parts to the right of 8.4 where it points at 8.45.


Similarly, we can represent 8.456 on a number line by dividing the segment between 8.45 and 8.46 into ten equal parts.

8.456 represented on a number line

The arrow is six parts to the right of 8.45 where it points at 8.456.


Example 5

Write the decimal number that the arrow points at in the following diagrams:

a.
Write the decimal number that the arrow points at.


b.
Write the decimal number that the arrow points at.


c.
Write the decimal number that the arrow points at.

Solution:

a.  24.3

b.  3.005

c.  6.378


Key Term

number line


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