Quick answer
PEMDAS is a memory aid for evaluating expressions consistently. Multiplication and division share a level, as do addition and subtraction.
Follow the correct groups
Work through parentheses, exponents, multiplication/division from left to right, then addition/subtraction from left to right.
Do not always multiply before dividing
For 12 ÷ 3 × 2, go left to right: 12 ÷ 3 = 4, then 4 × 2 = 8.
Parentheses change the result
2 + 3 × 4 = 14, but (2 + 3) × 4 = 20. Grouping matters.
Worked examples
6 + 2 × 5 = 16(6 + 2) × 5 = 4018 ÷ 3 × 2 = 12
Common mistake to avoid
PEMDAS does not say addition always happens before subtraction. They are equal priority.
Practice questions
Try these without looking at the answers first. Explain your reasoning aloud or write each step.
- Question:
4 + 3 × 2— Answer:10 - Question:
(4 + 3) × 2— Answer:14 - Question:
16 ÷ 4 × 2— Answer:8
What to learn next
Review the related lessons linked below, then practice independently. If you make an error, write down which rule you used and why it did not apply.