## Decimals

Students connect fractions, decimals and percentages as different representations of the same number. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They add, subtract and multiply decimals and divide decimals where the result is rational. They solve problems involving percentages and all four operations with fractions and decimals. Students use fractions, decimals and percentages, and their equivalences. They describe rational and irrational numbers.

## Australian national curriculum learning map

- Recognise that the place value system can be extended to tenths and hundredths.
- Make connections between fractions and decimal notation
- Recognise that the place value system can be extended beyond hundredths
- Compare, order and represent decimals
- Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers
- Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
- Multiply and divide decimals by powers of 10
- Make connections between equivalent fractions, decimals and percentages
- Multiply and divide fractions and decimals using efficient written strategies and digital technologies
- Round decimals to a specified number of decimal places
- Connect fractions, decimals and percentages and carry out simple conversions
- Investigate terminating and recurring decimals Investigate the concept of irrational numbers, including π
- Express numbers in scientific notation