🔢 Order of Operations 📚 Grade 3-4 ⏱ 7 min
Order of Operations With Parentheses: Full Guide
When a problem has parentheses, multiplication, and addition all together, a clear order is needed. Here is the rule, step by step.
Three priority levels
Order of execution:
1. Everything inside parentheses
2. Multiplication and division (left to right)
3. Addition and subtraction (left to right)
1. Everything inside parentheses
2. Multiplication and division (left to right)
3. Addition and subtraction (left to right)
Worked example
2+(3+4)×2 = 2+7×2 = 2+14 = 16. Parentheses first (3+4=7), then multiplication (7×2=14), then addition (2+14=16).
Practice
1. 10−(2+3)×1 (5)
2. (8−2)×3+1 (19)
3. 5×2+(6−4) (12)
FAQ
Why does multiplication outrank addition without parentheses?
It is a worldwide math convention that makes written expressions unambiguous.