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6.03 Decimals on a number line

Lesson

Are you ready?

Remember when we used a number line to order whole numbers? Let's practice. 

Plot the following numbers on the number lines:

  1. Plot $3$3 on the number line below.

    012345678910

  2. Plot $528$528 on the number line below.

    520525530

  3. Plot $700$700 on the number line below.

    05001000

Learn

When we divide $1$1 unit into $10$10 equal pieces, it is broken into $10$10 tenths, as shown below.

This video looks at how to plot and read tenths on a number line. 

Apply

Question 1

Plot $0.3$0.3 on the number line.

  1. 01

 

Learn

When we divide $1$1 unit into $100$100 equal pieces we end up with hundredths.  We can also get the size of $1$1 hundredth by dividing $1$1 tenth up into $10$10 equal pieces, as shown below. 

This video looks at how to plot and read hundredths off a number line.

Apply

Question 2

What number is shown on the following number line?

00.1

 

Remember!

$10$10 hundredths make $1$1 tenth. The larger the number, the further to the right it will be on a number line.

 

Outcomes

VCMNA159

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation

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