# Decimals: operating with decimals

This guide provides a sequence of small steps for learning to operate with decimals, from adding and subtracting decimals through to multiplying and dividing decimals by 10, 100 and 1,000.

Year level(s) Year 6
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Concrete Representational Abstract model, Explicit teaching
Keywords decimals, decimal place, adding decimals, subtracting decimals, multiplying decimals, dividing decimals, decimal sequences, ones, tenths, hundredths, thousandths, reasoning, problem-solving, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Decimals, Addition and subtraction, Multiplication and division, Place value
AC: Mathematics (V9.0) content descriptions
AC9M6N04
Apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

AC9M6N06
Multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers