# Stage 4 number – computation with integers – ordering decimals

## Strategy

Students can:

• Order integers
• Order decimals

## Activities to support the strategy

Students need to be able to order decimals on a number line. Students will need an understanding of positive and negative numbers and be confident with place value with decimals. Activities should include a review of place value focusing on decimal places and a review of positive and negative numbers on number lines.

### Activity 1

A number of examples and teaching techniques are provided for developing an understanding of integers. Teachers should review the TIMES teacher guides on The Integer and Decimals and Percentages.

This is a guide for teachers containing an introduction to decimals and percentages - TIMES teacher guide – Decimals and percentages.

### Activity 2

1. A key step when ordering decimals is to have students write the numbers in a list form one under the other so that the decimal points are all aligned. In this way students can quickly determine their order. Some examples, dealing only with positive numbers are shown below.

• Put the following decimals in ascending (smallest to largest) order: 0.2, 0.02, 2, 0.002

2. Students also need to know that directed numbers have a direction (positive/negative) and a magnitude (size). One way to think of this is as a distance from zero. The number +2 is two units to the positive side of zero, the number –5 is five units to the negative side of zero. In this way the numbers +6 and –6 are the same distance (six units) from zero.

## References

### Australian curriculum

ACMNA280: Compare, order, add and subtract integers

### NSW syllabus

MA4-4NA: Compares, orders and calculates with integers, applying a range of strategies to aid computation

### NSW syllabus

MA4-4NA: Compares, orders and calculates with integers, applying a range of strategies to aid computation

## Student resources

Teachers should review the TIMES teacher guide on The Integers. A number of examples and teaching techniques are provided for developing an understanding of integers.

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change vulgar fractions to decimals and vice versa. The notation of percentages is introduced. A history of the development of decimals concludes the module.