Frequently Asked Questions
Everything you need to know about Parentheses in advanced Order of Operations
What is the correct order of operations with parentheses?
+ The correct order is PEMDAS/BODMAS: 1) Parentheses/Brackets first, 2) Exponents/Orders, 3) Multiplication and Division (left to right), 4) Addition and Subtraction (left to right). Always solve what's inside parentheses before any other operations.
Why do parentheses come first in order of operations?
+ Parentheses indicate grouping and show which operations should be performed together first. They override the normal order of operations, ensuring mathematical expressions are solved correctly and consistently across all problems.
How do you solve 4+(6÷2) step by step?
+ Step 1: Solve inside parentheses first: 6÷2 = 3. Step 2: Replace the parentheses with the result: 4+3. Step 3: Perform addition: 4+3 = 7. The final answer is 7.
What happens when there are multiple parentheses in one problem?
+ Solve each set of parentheses separately first, then continue with the remaining operations following PEMDAS/BODMAS order. For example, in (21+3)×2×4-(22÷2), solve both (21+3)=24 and (22÷2)=11 first, then proceed with multiplication and subtraction.
Do you multiply or divide first when they're in the same problem?
+ When multiplication and division appear together, work from left to right in the order they appear. They have equal precedence, so the left-to-right rule applies after solving any parentheses and exponents first.
How do you remember the order of operations with parentheses?
+ Use memory aids like PEMDAS (Please Excuse My Dear Aunt Sally) or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). The key is remembering parentheses/brackets always come first, then follow the sequence systematically.
What are common mistakes students make with parentheses in order of operations?
+ Common errors include: 1) Not solving parentheses first, 2) Working left to right without following PEMDAS, 3) Forgetting that multiplication and division have equal priority, 4) Not properly handling multiple sets of parentheses. Always identify and solve all parentheses before proceeding.
Can you have parentheses inside parentheses in math problems?
+ Yes, nested parentheses are common in advanced problems. Solve the innermost parentheses first, then work outward. For complex expressions, you might also see brackets [ ] and braces { } to show different levels of grouping.
