6.04 Compare decimals
Are you ready?
Can you place decimal values on a number line? Let's try this problem to practice.
Plot $3.02$3.02 on the number line.
Learn
Anytime we are comparing numbers, we want to be comparing digits with the same place value.
In this video we look at how we can compare decimals using a place value table.
Another word that we can use to describe the ones place is 'units'.
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Question 1
Choose the larger decimal.
$1.5$1.5
A$4$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. We can see this if we use a place value table:
| Ones | . | Tenths | Hundredths |
|---|---|---|---|
| $0$0 | . | $3$3 | |
| $0$0 | . | $3$3 | $0$0 |
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.
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Question 2
Choose the larger decimal.
$2.87$2.87
A$2.8$2.8
B
Learn
In this video we make a statement true, by thinking about whether one side is greater than or less than the other side.
Another word that we can use to describe the ones place is 'units'.
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Question 3
Enter the greater than ($>$>) or less than ($<$<) symbol in the box to make this number sentence true.
$9.47\editable{}9.9$9.479.9
$>$> means "is greater than"
$<$< means "is less than"