### Edexcel GCSE Maths

Numbers
Algebra
Geometry and Measures
Probability
Statistics

# Order of Operations

To evaluate expressions with multiple operations, we need to perform these operations in the correct order. The order of operations can be remembered using the acronym BIDMAS:

Brackets, Indices, Division and Multiplication, Addition and Subtraction.

Let’s look at an expression:

To evaluate this expression, we’ll follow the BIDMAS rule:

1. Brackets: , which gives us

2. Indices: , which is

3. Division: , which is

4. Multiplication: and

6. Subtraction:

Therefore,

Let’s look at some more examples.

## Examples

Example 1:

Evaluate the following expressions:

a)

b)

a)

b)

Example 2:

Find the value of

, since is done first.

Example 3:

Find the value of

First,

Next,

To simplify, multiply the numerator and denominator by 3:

Example 4:

First, evaluate the power:

Next, perform the division and multiplication:

Now, simplify the expression:

Example 5:

Evaluate

Example 6:

When there are more brackets within brackets, perform the innermost brackets first and move outwards. For example, to evaluate:

1. First, evaluate the innermost bracket:

2. Now, the expression becomes:

3. Evaluate the power:

4. Simplify the expression within the bracket:

5. The expression becomes:

6. Evaluate the power:

7. Finally, simplify the expression:

8. The result is:

Example 7:

Evaluate

1. First, evaluate the power:

2. Next, perform the division:

3. Now, simplify the expression with multiplication:

4. Finally, simplify the expression with subtraction:

Quizzes