# Decimals: multiplying and dividing decimal numbers

This guide provides a sequence of small steps for deepening understanding of decimal numbers, from understanding thousandths and numbers to three decimal places, to multiplying and dividing decimals by integers, and converting between fractions and decimals.

Year level(s) Year 5, Year 6
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Explicit teaching
Keywords partition, integers, reasoning, problem-solving, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Decimals, Fractions, Multiplication and division
AC: Mathematics content descriptions
ACMNA104 Recognise that the place value system can be extended beyond hundredths
ACMNA129 Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
ACMNA130 Multiply and divide decimals by powers of 10
National numeracy learning progression Operating with decimals - OwD3, OwD4
Multiplicative strategies
Interpreting fractions