Question

In the following exercises, simplify each expression. $$ 5[2+4(3-2)] $$

   In the following exercises, simplify each expression.
$$
5[2+4(3-2)]
$$

Intermediate Algebra

Intermediate Algebra

Lynn Marecek 2nd Edition

Chapter 1, Problem 28

Instant Answer

Solved by Expert Emily Himsel

09/24/2022

Step 1

This equals to $1$. So, the expression becomes $5[2+4(1)]$. Show more…

Show all steps

lock

Thanks for your feedback!

In the following exercises, simplify each expression. $$ 5[2+4(3-2)] $$

Play audio

Feedback

Powered by NumerAI

Emily Himsel and 53 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Order of Operations

This concept, often remembered by the acronym PEMDAS or BODMAS, guides the sequence in which mathematical operations should be performed. It prioritizes calculations inside grouping symbols first, followed by exponents, multiplication and division (from left to right), and finally addition and subtraction. Adhering to this sequence is essential for correctly simplifying expressions.

Nested Grouping Symbols

Many expressions involve multiple layers of grouping symbols such as parentheses, brackets, and braces. The principle here is to start simplifying from the innermost group and work outward. This hierarchy ensures that each component of the expression is evaluated in the proper context and order.

Arithmetic Simplification

Arithmetic simplification is the process of reducing an expression to its simplest form through the application of fundamental mathematical operations. It involves executing the operations in the correct order, combining like terms, and reducing expressions step by step until a single value or a simpler form is achieved.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later