Chapter overview Maths

Number and place value

Multiplication and division

Fractions

Measurement

Geometry - properties of shapes

Geometry - position and direction

Statistics

Ratio and proportion

Algebra

Maths

# Order of operations: BIDMAS 0%

Summary

# Order of operations: BIDMAS

## ​​In a nutshell

The order of operations is a rule for which operation must be performed first. It is very helpful when having to solve questions involving multiple steps such as multiplication and subtraction.

## BIDMAS

BIDMAS is an acronym which identifies the order of operations.

#### Symbols/Examples

$1$​​

Brackets

$()$​​

$2$​​

Indices

$2^2$​​

$3$​​

Division

$\div$​​

Multiplication

$\times$​​

$4$​​

$+$​​

Subtraction

$-$​​

Note: If there is multiplication and division together in a question, the operation which comes first when  reading from left to right is completed first. The same applies to addition and subtraction.

##### Example 1

Calculate: $30-3\times(8 -1).$

Use BIDMAS to follow the order of operations and calculate the answer.

Brackets must be completed first:

$8-1=7$

The expression is now:

$30-3\times7$

​There are no Indices, or Division so move onto Multiplication:

$3\times7=21$

The expression is now:

$30-21$

​​Finally, there is no Addition so move onto Subtraction:

$30-21=9$

Therefore,

$\underline{30-3\times(8-1)=9}$

FAQs

• Question: What is BIDMAS?

Answer: BIDMAS is an acronym which identifies the order of operations.

• Question: Which operation comes first, multiplication or division?

Answer: The operation which comes first when reading from left to right is completed first.

Theory

Exercises