Question

Evaluate each expression. $$ 18 \div 6 \cdot 3 $$

   Evaluate each expression.
$$
18 \div 6 \cdot 3
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 46

Instant Answer

Solved by Expert Julie Silva

04/11/2020

Step 1

According to the order of operations, we should perform division and multiplication from left to right. So, we divide 18 by 6: $$ 18 \div 6 = 3 $$ Show more…

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Evaluate each expression. $$ 18 \div 6 \cdot 3 $$

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Key Concepts

Order of Operations

The order of operations is a fundamental rule in arithmetic that establishes the sequence in which parts of an expression should be evaluated. This rule ensures consistent results regardless of who performs the calculation. In expressions involving both multiplication and division, these operations are performed from left to right, as they share the same level of precedence.

Division

Division is one of the four main arithmetic operations and involves splitting a number (the dividend) into a specified number of parts (determined by the divisor). When combined with other operations, it's important to perform division according to the order of operations rules to ensure the correct result is obtained.

Multiplication

Multiplication is another key arithmetic operation that involves adding a number to itself a specified number of times. In expressions where multiplication and division appear together, both operations are executed from left to right, following the established order of operations to properly evaluate the expression.

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