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6.04 Compare decimals

Lesson

Are you ready?

Let's practice writing decimals from their written form. 

Let's look at the number $50$50 tenths.

  1. Write the number above as a fraction.

  2. Now write the same number as a decimal.

Learn

Anytime we are comparing numbers, the important thing we need to consider is the value of the numbers we are comparing. Just like $6$6 hundreds are worth more than $6$6 tens, we need to consider the value of the digits in a number with decimals. In this video we look at how we can visualise the value of our numbers, helping to identify bigger or smaller numbers.

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Question 1

Choose the smaller decimal

  1. $8.9$8.9

    A

    $8.4$8.4

    B

    $8.9$8.9

    A

    $8.4$8.4

    B

 

Learn

When we compare decimals, it also helps to remember that some numbers may look different, but are in fact equivalent. While $0.3$0.3 and $0.30$0.30 may look different, they have the same value. Using equivalent fractions can help, since fractions are another way to express parts of a whole. In this video, we show how we can compare decimals, while keeping in mind that we may be able to express a number more than one way, just like we did above, with $3$3 tenths and $30$30 hundredths.

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Question 2

Choose the larger decimal.

  1. $3.3$3.3

    A

    $3.38$3.38

    B

    $3.3$3.3

    A

    $3.38$3.38

    B

 

Learn

In this video we make a statement true, by thinking about whether one side is equal to, greater than, or less than the other side.

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Question 3

Enter the greater than ($>$>) or less than ($<$<) symbol, in the box to make this number sentence true.

  1. $9.1\editable{}9.57$9.19.57

 

Remember!

> means "is greater than"

< means "is less than"

 

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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