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Negative Indices

In this worksheet, students understand and use negative indices.

'Negative Indices' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

What is a negative indices? A number or term with a negative index means it 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 × a-5 = a3 + - 5 = a-2 = 1/a2

 

or

 

p1 ÷ p2 = p1-2 = p-1= 1/p

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