Question

Evaluate each expression. See Example $8 .$ $$ -18 \div 6 \cdot 3 $$

   Evaluate each expression. See Example $8 .$
$$
-18 \div 6 \cdot 3
$$

Intermediate Algebra

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 68

Instant Answer

Solved by Expert Amy Jiang

07/31/2020

Step 1

We have -18 divided by 6. Since the signs are opposite, the result will be negative. So, -18 divided by 6 equals -3. $$ -18 \div 6 = -3 $$ Show more…

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Evaluate each expression. See Example $8 .$ $$ -18 \div 6 \cdot 3 $$

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Key Concepts

Arithmetic with Negative Numbers

Handling negative numbers correctly is crucial in arithmetic expressions. Operations involving negative numbers follow specific rules, such as a negative divided or multiplied by a positive number resulting in a negative outcome.

Multiplication

Multiplication is a fundamental arithmetic operation that represents repeated addition. When evaluating an expression, multiplication is performed according to the order of operations and, like division, is processed from left to right when they occur consecutively.

Order of Operations

This concept refers to the set of rules that dictate the sequence in which parts of a mathematical expression should be evaluated. In expressions involving multiple operations such as division and multiplication, the operations are performed from left to right if they share the same precedence.

Division

Division is one of the basic arithmetic operations that involves splitting a number into equal parts. In the context of evaluating an expression, division is performed according to the operator precedence rules, especially when combined with other operations like multiplication.

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