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6.05 Order decimals

Lesson

Are you ready?

We have used place value to help us order whole numbers before. Let's try a practice problem to help us remember. 

Order these numbers from largest to smallest.

  1. $73,33,37$73,33,37

    $\editable{},\editable{},\editable{}$,,

  2. $671,167,617$671,167,617

    $\editable{},\editable{},\editable{}$,,

Learn

This video looks at ways to compare decimals with both units and tenths. 

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Question 1

Choose the smaller decimal

  1. $0.6$0.6

    A

    $0.4$0.4

    B

    $0.6$0.6

    A

    $0.4$0.4

    B

 

Learn

In this video we will work through some examples, using a couple of different ways to order the list of numbers. Importantly, remember that it is the place value of the numbers we are comparing. 

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Question 2

Which of these sets are arranged from smallest to largest?

  1. $0.92,0.47,0.35$0.92,0.47,0.35

    A

    $0.35,0.47,0.92$0.35,0.47,0.92

    B

    $0.47,0.35,0.92$0.47,0.35,0.92

    C

    $0.92,0.47,0.35$0.92,0.47,0.35

    A

    $0.35,0.47,0.92$0.35,0.47,0.92

    B

    $0.47,0.35,0.92$0.47,0.35,0.92

    C

 

Learn

Sometimes it can be useful when we need to compare a mixture of numbers with tenths and hundredths. to renaming the tenths to hundredths. We see an example of this in the next video.

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Question 3

Arrange the following decimals from smallest to largest:

$0.7$0.7, $0.09$0.09,$0.61$0.61

  1. $\editable{}$, $\editable{}$, $\editable{}$

 

Remember!

When our numbers have units and tenths, we need to always compare the place value furthest to the left because it has the largest place value. We cannot only look at how long each number is. 
 

 

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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