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Using BIDMAS: Order of Operations in Calculations

In this worksheet, students must pay attention to the order of priority in carrying out mixed operations.

Worksheet Overview

The agreed order of working out more than one operation is as follows:

Brackets
Powers or Indices
Division and Multiplication
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, 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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