Question

select the order in which the operations should be performed in this expression.
5 - 8(14)
a. do 5 minus 8 first, then multiply that total by 14 second
b. multiply 8 and 14 first, then subtract that total from 5 second
c. do 14 minus 8 first, then multiply that total by 5 second

Explanation:

Step1: Recall Order of Operations (PEMDAS/BODMAS)

In arithmetic expressions, multiplication and division are performed before addition and subtraction. The expression is \(5 - 8(14)\), where \(8(14)\) represents \(8\times14\).

Step2: Analyze Each Option

• Option A: Performing \(5 - 8\) first violates the order of operations (subtraction before multiplication is incorrect here).
• Option B: Multiply \(8\) and \(14\) first (since multiplication has higher precedence than subtraction), then subtract the result from \(5\). This follows PEMDAS.
• Option C: Performing \(14 - 8\) first is not part of the original expression's operations and violates order of operations.

Answer:

B. Multiply 8 and 14 first, then subtract that total from 5 second