Question

(a) problem 5.
select the order in which the operations should be performed in this expression.
\\(\frac{1 + 9}{5}\\)
a. divide 1 by 5 first, then add 9 to that total second
b. divide 9 by 5 first, then add 1 to that total second
c. add 1 and 9 first, then divide that total by 5 second

Explanation:

Step1: Recall Order of Operations (PEMDAS/BODMAS)

In a fraction, the numerator is treated as a group (parentheses). So we first simplify the numerator. The numerator here is \(1 + 9\).

Step2: Analyze the Expression Structure

The expression \(\frac{1 + 9}{5}\) means we first perform the addition in the numerator (\(1+9\)) and then divide the result by 5. Let's check the options:

• Option A: Incorrect, as it misinterprets the numerator.
• Option B: Incorrect, as it misinterprets the numerator.
• Option C: Correct, as we add 1 and 9 first (simplify numerator) then divide by 5.

Answer:

C. Add 1 and 9 first, then divide that total by 5 second