Chapter 1.2, Problem 38STP

To determine

The correct steps to evaluate the expression $96÷3\times 4+7$

Answer to Problem 38STP

  $\text{C}\text{.}\text{multiply}\left(96÷3\right)\text{ by 4 and added 7}$

Explanation of Solution

Given information:

Ms. R is evaluating $96÷3\times 4+7$ as shown below:

  $\begin{array}{c}96÷3\times 4+7\\ 96÷12+7\\ 8+7\\ 15\end{array}$

What she have done differently to evaluate it correctly.

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 $96÷3\times 4+7$ , observe that there is no grouping symbols in the expression. Since the quotient sign appears first while moving from left to right, so first divide the first two numbers and then multiply the resulting number with 4 and finally add 7 to the resulting number from previous step as shown below

  $\begin{array}{c}96÷3\times 4+7\\ =32\times 4+7\\ =128+7\\ =135\end{array}$

Thus, the correct steps are given in option (C).