A seemingly simple math question intended for children has recently ignited a heated debate among adults online, highlighting how interpretations can vary even with straightforward problems.
The Question:
The problem in question is:
12 – 5 + 2 = ?
At first glance, this appears to be a basic arithmetic problem. However, differing answers have emerged based on how individuals apply the order of operations.
Order of Operations:
In mathematics, the order of operations dictates the sequence in which parts of an expression are calculated to ensure consistent results. The commonly taught acronym PEMDAS represents this order:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
According to PEMDAS, operations enclosed in parentheses are performed first, followed by exponents. Multiplication and division are then executed from left to right, and finally, addition and subtraction are carried out from left to right.
Applying PEMDAS to the Problem:
Let’s apply the order of operations to the given problem:
12 – 5 + 2
Following PEMDAS, we address addition and subtraction from left to right:
- First, perform the subtraction: 12 – 5 = 7
- Next, perform the addition: 7 + 2 = 9
Therefore, the correct answer is 9.
Common Misinterpretations:
Some individuals might mistakenly prioritize addition over subtraction due to the order in PEMDAS, leading them to calculate:
- First, perform the addition: 5 + 2 = 7
- Next, perform the subtraction: 12 – 7 = 5
This approach yields an incorrect answer of 5.
The Online Debate:
The debate surrounding this problem underscores the importance of understanding and correctly applying the order of operations. Misinterpretations can lead to varying answers, sparking discussions about mathematical conventions and educational practices.
Conclusion:
The discussion generated by this math question serves as a valuable reminder of the significance of foundational mathematical principles. Ensuring clarity in these basics is crucial for both educators and learners to avoid confusion and promote accurate problem-solving skills.
