Chapter 1: Q18. (page 18)

Evaluate the expression.
$84 \div [(18 - 16) \cdot 3]$ .

Short Answer

Expert verified

The value of expression is14.

Step by step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

Step-2 – Simplify expression in grouping symbol

The expression is provided as $84 \div [(18 - 16) \cdot 3]$ .

To evaluate the expression, first simplify the expression inside parenthesis and then simplify further as shown below

$\begin{matrix} 84 \div [(18 - 16) \cdot 3] = 84 \div [(2) \cdot 3] \\ = 84 \div [6] \\ = 84 \div 6 \end{matrix}$

Step-3 – Divide the numbers

To simplify further, divide the resulting numbers to get

$\begin{matrix} 84 \div [(18 - 16) \cdot 3] = 84 \div 6 \\ = 14 \end{matrix}$

So, the value of the expression is14.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate the expression.
$84 \div [(18 - 16) \cdot 3]$ .

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Divide the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Calculus

Decision Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate the expression.84÷18-16·3.

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Divide the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Calculus

Decision Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate the expression.
$84 \div [(18 - 16) \cdot 3]$ .