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