Chapter 1.5, Problem 48E

To determine

To evaluate the given expression

Answer to Problem 48E

348

Explanation of Solution

Given:

Expression: $18\cdot 2-4^2÷8$

Concept used:

The following rule has to be used for evaluation the expressions.

Order of operations for evaluating expressions:

B − Brackets and Parentheses

E − Exponents

D − Division

M − Multiplication

A − Addition

S − Subtraction

The order of operations should not be changed.

Calculation:

Consider the expression

  $\Rightarrow 18\cdot 2-4^2÷8$

According to the order of operations,

First, evaluate the exponents.

  $\Rightarrow 18\cdot 2-16÷8$

Second, divide the terms.

  $\Rightarrow 18\cdot 2-2$

Then, Multiply the terms.

  $\Rightarrow 36-2$

Then, Subtract the terms.

  $\Rightarrow 34$

Conclusion:

Therefore, the expression $18\cdot 2-4^2÷8=34.$