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Using the Order of Operations in Calculations (2)

In this worksheet, students observe the order of priority in carrying out mixed operations.

'Using the Order of Operations in Calculations (2)' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Conventional Notation for Priority of Operations

Difficulty level:  

Worksheet Overview

When you are working something out that involves more than one operation, the order in which they are carried out matters.

 

The agreed order is:

      Brackets
      Powers or indices
      Multiplication and division
      Addition and subtraction

 

This can be remembered using the word    BIDMAS.

However, remember that multiplication and division are equally important, so in a calculation just involving multiplication and division, you carry this out from left to right.  Similarly with addition and subtraction.

Examples

6 + 9 ÷ 3 = 6 + 3 = 9. divide first
(6 + 9) ÷ 3 = 15 ÷ 3 = 5. brackets first
15 - 4 × 2 = 15 - 8 = 7. multiply first
(15 - 4) × 2 = 11 × 2 = 22. brackets first
4 × 32 = 4 × 9 = 36. power first
(4 × 3)2 = 122 = 144. brackets first

14 - 4 + 5 = 15.  equally important, so left to right.

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