 Hong Kong
Stage 2

# Compare numbers with decimals in tenths or hundredths (X.xx)

Lesson

## Comparing numbers

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 decimal. In Video 1, you'll see how we can visualise the value of our numbers, helping to identify bigger or smaller numbers.

### Comparing decimals

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 in fact have the same value. Looking at equivalent fractions can help, since fractions are another way to express parts of a whole, just like decimals.

In Video 2, let's see 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 tenths and 30 hundredths.

Finally, in Video 3, we make a statement true, by thinking about whether one side is equal to, greater than, or less than the other side. We also look at how money can help us with decimals!   #### Worked Examples

##### QUESTION 1

Choose the smaller decimal

1. $8.9$8.9

A

$8.4$8.4

B

##### QUESTION 2

Select either $>$> or $<$< to complete the following:

$1.9$1.9 ___ $1.96$1.96
1. $<$<

A

$>$>

B

##### QUESTION 3

Which symbol completes this statement?

1. $0.3$0.3$\editable{}$$0.27$0.27

$<$<

A

$>$>

B