Question

Evaluate each expression. $$10-[6-2 \cdot 2+(8-3)] \cdot 2$$

   Evaluate each expression.
$$10-[6-2 \cdot 2+(8-3)] \cdot 2$$

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 63

Instant Answer

Solved by Expert Victoria Karaluz

05/18/2020

Step 1

Inside the brackets, we have two operations: subtraction and multiplication. According to the order of operations (PEMDAS/BODMAS), we should perform the multiplication first: $$6 - 2 \cdot 2 = 6 - 4 = 2$$ Now, we can replace the expression inside the brackets Show more…

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Evaluate each expression. $$10-[6-2 \cdot 2+(8-3)] \cdot 2$$

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Key Concepts

Multiplication

Multiplication is a basic arithmetic operation that represents repeated addition. Its proper execution, especially when combined with other operations, is critical for correctly evaluating mathematical expressions.

Addition and Subtraction

Addition and subtraction are fundamental arithmetic operations that are usually performed after resolving any operations within grouping symbols and any multiplication or division. They help combine or reduce quantities in the overall expression.

Order of Operations

This concept defines the specific sequence in which arithmetic operations are performed to ensure consistency and correctness in evaluating expressions. It typically prioritizes calculations within parentheses, followed by exponents, then multiplication and division, and finally addition and subtraction.

Grouping Symbols

Grouping symbols such as parentheses, brackets, and braces indicate the parts of an expression that should be evaluated together first. They are essential for clarifying the intended order of calculations in more complex expressions.

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