Question

Evaluate each expression. $$2 \cdot[8-3(4+2)]-3$$

   Evaluate each expression.
$$2 \cdot[8-3(4+2)]-3$$

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 60

Instant Answer

Solved by Expert Victoria Karaluz

05/17/2020

Step 1

First, we need to solve the expression inside the parentheses: 3(4+2) = 3(6) = 18 Now, we can rewrite the expression as: 2 * [8 - 18] - 3 Show more…

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Evaluate each expression. $$2 \cdot[8-3(4+2)]-3$$

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Key Concepts

Order of Operations

The order of operations is a fundamental set of rules used to determine the sequence in which multiple operations in an expression are performed. This convention, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), ensures that every mathematical expression is evaluated in a consistent and accurate manner.

Grouping Symbols

Grouping symbols, such as parentheses, brackets, and braces, are used in expressions to indicate that the operations enclosed within them should be performed first. They help clarify the structure of complex expressions and ensure that the correct steps are taken when evaluating nested or compounded mathematical statements.

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