# Understand Negative Indices

In this worksheet, students will understand and use negative indices.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

#### Worksheet Overview

What are negative indices?

They are numbers or terms with a negative index which means they can be written as a reciprocal of that number.

For example:

And:

How do we get negative indices?

Negative indices occur when multiplying or dividing two terms where the the result of adding or subtracting the powers gives a negative value.

For example:

a3 x a-5 = a3 + - 5 =  a-2 = 1/a2

or

p1 ÷ p2 = p1 - 2 = p-1 = 1/p

Does that make sense?

Let's have a go at some questions. If you need to check back to this introduction, just click on the red button on the right of the screen.

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