Order Of Operations

Parentheses Exponents Multiplication Division Addition Subtraction

Arithmetic operations are performed in the PEMDAS order shown above.

Any operations in parentheses (brackets) must be done first.
Then exponents (indices and powers).
Then multiplication and division is done.
The last operations are addition and subtraction.



Examples

3 × ( 4 + 5 )
= 3 × 9
= 27
( 15 – 9 ) ÷ 3
= 6 ÷ 3
= 2
3 + 4 × 2
= 3 + 8
= 11
3 × 4 – 8 ÷ 2
= 12 – 4
= 8

Questions

Work these out using PEMDAS.

Q1. ( 3 + 4 ) × 2 – 4
Q2. 3 + 4 × 2 – 4
Q3. 8 × 2 + 6 × 3
Q4. 8 ÷ 2 + 6 ÷ 3
Q5. 2 - 3 × 4 + 4 × 5

Answers
A1. 10
A2. 7
A3. 34
A4. 6
A5. 10

Maths Fun - All Threes

Using three 3s and any order of operations such as +, -, ×, ÷ and ( ), complete number statements to equal 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Example: ( 3 + 3 ) ÷ 3 = 2