AC9M4N05

Number > Place Value

Australian Curriculum Version 9 Says:

Solve problems involving multiplying or dividing natural numbers by multiples of powers of 10 without a calculator, using the multiplicative relationship between the place value of digits.

What this means

Multiplying and dividing by 10, 100, 1000 …

  • e.g. When dividing by 100 the digits will move two places to the right.
  • A number slide will help to establish these relationships.
  • Do NOT suggest that when you multiply by ten “you simply add a zero”.
    This is incorrect and will cause many problems later on, e.g. when multiplying decimals; 0.5 x 10 is not 0.50
  • Year 4; use whole numbers that become decimals. It is only later, in Year 6, that students will start with a decimal number.

Tips

  • Make the links between units of measure, e.g. when converting from cm to m, divide by 100.
  • The curriculum does not require other multiples like 20 or 30.

Click on image to Enlarge descriptor card.

Resources & Manipulatives

These Quick Curriculum Guides have been designed to take a look at the Australian Mathematics Curriculum (AC9), explain terminology and provide interpretations.

Narelle and I have used our professional judgement to put forward what is appropriate for students at this year level.

Authors: Dr Paul Swan & Narelle Rice
We would like to also thank Linda Marshall and David Dunstan for comments and assistance.

These documents serve as general advice only and do not take into account your specific needs and conditions. While best care has been taken in compiling these materials, mistakes may exist.
Australian Curriculum version 9 materials used under Creative Commons licence from ACARA. Readers should always refer back to the curriculum itself and the state-based curriculum that is relevant for you.

This document is copyright of A-Z Type (Dr Paul Swan). A copy of this document may be downloaded from www.drpaulswan.com.au.