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Using Brackets in Different Places for Different Answers

In this worksheet, students practise how to use brackets in an expression.

'Using Brackets in Different Places for Different Answers' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Conventional Notation for Priority of Operations

Difficulty level:  

Worksheet Overview

In this worksheet, we will learn how putting brackets in different places gives different answers.


Remember that with a string of operations, they must be done in the following order:


Powers or indices
Multiplication and division
Adding and subtracting

Remember BIDMAS



3 +  5 × 6 - 2 × 3 + 4

= 3 + 30 - 6 + 4 (multiplying first)
= 31 (adding and subtracting from left to right)

If we put brackets in different places, we will get a different answer.

(3 + 5) × 6 - 2 × (3 + 4)

= 8 × 6 - 2 × 7 (brackets first)
= 48 - 14 (multiplying next)
= 34 (subtracting)

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