Chapter 4, Problem 7CLR

To determine

To simplify expression $3^3+42÷3+4$

Answer to Problem 7CLR

  $45$

Explanation of Solution

Given information:

The expression, $3^3+42÷3+4$

Concept used:

For Order of Operation, we will use PEMDAS rule.

Symbols are representing:

P − parenthesis, E − exponent, M − multiplication,

D − division, A − addition and S − subtraction.

• If grouping symbols such as parenthesis are present, simplify expressions within those first, starting with the innermost set.
• Evaluate exponential expressions or absolute values in order from left to right.
• Multiply or divide in order from left to right.
• Add or subtract in order from left to right.

If there is no grouping symbols or no exponents, we multiply or divide and then add or subtract in the order from left to right.

Calculation:

To simplify the expression $3^3+42÷3+4$ , first simplify the exponent term and then divide the numbers containing the quotient sign between them. Then simplify further by adding the like terms as shown below,

  $\begin{array}{c}{3}^3+42÷3+4=27+42÷3+4\\ =27+14+4\\ =41+4\\ =45\end{array}$

Thus, the given expression simplifies to $45$ .