Solve the following expression:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Solve the following expression:
Let's simplify this expression while maintaining the order of operations.
Let's start by solving the expression in parentheses from left to right:
Now we get the expression:
In the next step, to make the division easier for ourselves, we'll break down 106 into two smaller factors that are divisible by 2:
Let's divide each factor in parentheses by 5:
We'll solve each expression in parentheses and obtain:
\( 140-70= \)
Because of the order of operations (PEMDAS)! The parentheses must be solved first. If you divide by 6 first, you're ignoring the +1-5 part completely, which changes the entire problem.
No, that's just one helpful method! You can also directly calculate . Breaking it down makes division easier, especially with larger numbers.
Same rule applies! Always solve everything inside parentheses first, following PEMDAS within the parentheses too (multiplication/division before addition/subtraction).
Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally!"
Go back and check your parentheses calculation first! Make sure . Then verify . Most errors happen in the parentheses step.
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