NZ Level 4
Compare fractions and numbers with decimals in hundredths
Lesson

## Fractions and decimals

When we work with fractions and decimals, it's important to remember that they are two different ways to express a value. While sometimes it might be useful to use fractions, other times it might make more sense to use decimals.

## Comparing them

When we wish to compare two numbers, it can be useful to express them both the same way, either in fractions or decimals. Thinking about place value is a great way to do just that, because then we can compare the digits. In Video 1, we'll look at how to visualise fractions and decimals and then compare them.

## Making a statement true

Sometimes, we may need to insert a symbol to make a statement true. This means we need to think about whether one side is less than (<), equal to (=), or greater than (>) the other side. If one number is expressed as a fraction, and the other a decimal, it can help to look at them both as either fractions or decimals. In Video 2 we look at how to make a statement true, where we have tenths and hundredths

Remember!

A number can be expressed as a fraction or a decimal.

When we compare values, we may need to change one of our numbers so that they are both fractions, or both decimals.

#### Worked examples

##### question 1

Choose the smaller value.

1. $\frac{4}{10}$410

A

$0.3$0.3

B

$\frac{4}{10}$410

A

$0.3$0.3

B

##### question 2

Choose the larger value.

1. $0.5$0.5

A

$\frac{39}{100}$39100

B

$0.5$0.5

A

$\frac{39}{100}$39100

B

##### question 3

Choose the missing symbol to make this a true statement.

1. $0.69$0.69$\editable{}$$\frac{23}{100}$23100

$<$<

A

$>$>

B

$<$<

A

$>$>

B

### Outcomes

#### NA4-6

Know the relative size and place value structure of positive and negative integers and decimals to three places.