We have hundreds of course questions with personalized recommendations + Account 100% premium
Let's recall the order of operations: calculating what's in parentheses, multiplication and division (from left to right), addition and subtraction (from left to right)
We emphasize that when there are parentheses within parentheses, we start with the innermost ones first.
In this exercise, there are only subtraction operations and parentheses within parentheses.
Therefore, we will first perform the operation in the inner parentheses, and after calculating we can remove the inner parentheses and are left with only one set of parentheses.
Now we will perform the operation in the remaining parentheses and after calculating we will remove the parentheses
Therefore the answer is option A - (19)
\( 100-(30-21)= \)
Always start with the innermost parentheses first! In , the innermost is (93-81), so solve that first to get 12.
You'll get the wrong answer! Order matters in mathematics. If you solve (77-12) before (93-81), you're changing the problem completely. Always work inside-out.
Because parentheses change the order of operations! They tell you exactly which calculations to do first. Ignoring them is like ignoring traffic signs - you'll end up in the wrong place.
Write each step clearly on a new line! Show: , then , finally . This prevents mistakes.
The negative sign means subtract everything inside those parentheses. So becomes .
Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime