Question

Evaluate each expression. $$ 18-5 \cdot 2 $$

   Evaluate each expression.
$$
18-5 \cdot 2
$$

Algebra and Trigonometry

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 0, Problem 55

Instant Answer

Solved by Expert Kaylee Mcclellan

04/19/2021

Step 1

According to the order of operations (PEMDAS/BODMAS), we should perform multiplication and division before addition and subtraction. So, we first multiply $5$ and $2$. $$ 18-5 \cdot 2 = 18 - 10 $$ Show more…

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Evaluate each expression. $$ 18-5 \cdot 2 $$

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Key Concepts

Order of Operations

The order of operations is a set of rules that determines the sequence in which the operations in an expression are carried out to ensure a unique, correct result. This hierarchy—often remembered using abbreviations like PEMDAS or BODMAS—dictates that multiplication is performed before subtraction, which is why it is crucial in interpreting expressions accurately.

Multiplication

Multiplication is one of the basic arithmetic operations involving the repeated addition of a number. In the context of evaluating expressions, multiplication is computed before addition or subtraction according to the order of operations, making it essential to calculate the correct intermediate values.

Subtraction

Subtraction is a fundamental arithmetic operation that involves deducting one number from another. After computing multiplications or other higher-priority operations, subtraction is used to combine the computed values to reach the final result in an expression.

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