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Dividing Indices

In this worksheet, students divide numbers expressed using indices.

'Dividing Indices' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

An index is sometimes called a power or an exponent.  

In 54, the 4 is the index and the 5 is the base.

54 is read as "5 to the power 4" or "5 to the 4" and means 5 x 5 x 5 x 5.

 

Dividing numbers

When we divide numbers with the same base number, we can just subtract the indices.

57 ÷ 53 = 54

 

This is because, when we divide we can cancel a 5 on the top with a 5 on the bottom, leaving four 5s on the top.

 

 

 

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