In the equation '92 ÷ 16 + 14 = Y', what is the value of Y?

Appeared in: UPUMS Nsg officer-2023

Explanation

The BODMAS/PEMDAS rule dictates the order of operations in a mathematical expression: Brackets/Parentheses, Orders/Exponents, Division/Multiplication, and Addition/Subtraction.
In the expression '92 ÷ 16 + 14', the division must be performed before the addition.
First, 92 is divided by 16, which equals 5.75.
Then, 14 is added to 5.75, resulting in the final answer of 19.75.

Option B: This is a calculation error and does not follow the correct order of operations.
Option C: This is a calculation error. It may arise from incorrectly performing the division or subtraction instead of addition.
Option D: This value results from a significant calculation error, likely by violating the BODMAS rule (e.g., performing addition before division).

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Order of Mathematical Operations (BODMAS/PEMDAS) as background academic context rather than a clinical decision trigger.
Accurate mathematical calculation is a fundamental skill for nurses, essential for safe medication administration.
Dosage calculations often involve multi-step equations where the order of operations is critical to prevent medication errors, which can have serious patient safety consequences.
What if? If a nurse were calculating an IV drip rate using a formula and performed addition before division, it could lead to a dangerously fast or slow infusion rate, causing potential harm to the patient.

How to Approach the Question

First, analyze the given equation: 92 ÷ 16 + 14 = Y.
Identify the mathematical operations involved, which are division (÷) and addition (+).
Recall the standard order of operations, commonly known as BODMAS or PEMDAS.
According to this rule, division must be performed before addition.
Calculate the division part: 92 ÷ 16.
Finally, add 14 to the result of the division to find the value of Y.

Concept Tested & Keywords

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