Math is often seen as a subject of logic and absolute answers. However, simple arithmetic problems can sometimes spark intense debates, especially when different people interpret the order of operations differently. One such math problem that has divided opinions is:
At first glance, it looks like a basic elementary school-level problem. But surprisingly, many people disagree on the answer. Some claim it equals 2, while others confidently argue that the answer is 8. So, which one is correct?
Let’s break it down, analyze common mistakes, and explain step by step why the correct answer is 8.
Common Mistakes When Solving This Problem
Before we dive into the correct solution, let’s first address why so many people get this problem wrong.
1. Misunderstanding the Order of Operations
The most common mistake is not following the correct order of operations (PEMDAS or BODMAS). Some people instinctively subtract first (8 – 3 = 5) and then add 3, which gives them the incorrect answer of 2.
2. Confusing Rules for Multiplication and Division vs. Addition and Subtraction
Many people remember learning “multiplication and division first, then addition and subtraction” but misinterpret how addition and subtraction work together.
Unlike multiplication and division, which take precedence over addition and subtraction, addition and subtraction are performed from left to right in the order they appear. Ignoring this rule leads to wrong answers.
3. Rushing Through the Calculation
Another common mistake is solving the equation too quickly without carefully considering each step. Since the problem seems simple, people often jump to a quick answer instead of following the proper mathematical rules.
Step-by-Step Solution: Why the Answer Is 8
Now, let’s carefully solve 8 – 3 + 3 step by step using the correct mathematical rules.
Step 1: Follow the Order of Operations (PEMDAS/BODMAS)
Mathematical calculations follow a universal rule known as PEMDAS (used in the U.S.) or BODMAS (used in other parts of the world).
What Do These Acronyms Mean?
- PEMDAS: Parentheses, Exponents, Multiplication & Division (from left to right), Addition & Subtraction (from left to right).
- BODMAS: Brackets, Orders (Exponents), Division & Multiplication (from left to right), Addition & Subtraction (from left to right).
Since this equation does not contain parentheses, exponents, multiplication, or division, we simply follow the left-to-right rule for addition and subtraction.
Step 2: Solve from Left to Right
We solve 8 – 3 + 3 from left to right as follows:
- 8 – 3 = 5
- 5 + 3 = 8
Thus, the correct answer is 8.
Why Do Some People Think the Answer Is 2?
The biggest reason for confusion is that people incorrectly apply a non-existent rule that subtraction always comes before addition.
Many people mistakenly calculate like this:
- They group “3 + 3” together first, thinking that addition should come first.
- They then subtract 8 – 6, arriving at 2, which is incorrect.
However, this method is wrong because addition and subtraction must always be performed from left to right, not based on which operation comes first in appearance.
The Importance of Following Proper Math Rules
This simple math problem highlights the importance of understanding the fundamentals of arithmetic. It serves as a reminder that:
- Math rules exist for a reason—following them ensures accurate answers.
- Rushing leads to errors—always take your time to work through each step carefully.
- Misconceptions can lead to different answers—but there is always one mathematically correct solution.
This is why learning and practicing basic order of operations is crucial, even for simple math problems.
Engage with Us: What Answer Did You Get?
Now that we’ve explained the solution, we want to hear from you!
- Did you get 8, or were you convinced the answer was 2 at first?
- Do you often find yourself struggling with order of operations?
- Have you encountered other math puzzles that caused debates like this?
Comment your answer below and share this puzzle with friends to see how they solve it!
If you enjoy brain teasers like this, keep challenging yourself with new math puzzles—they are great for developing critical thinking and problem-solving skills. Who knows? The next puzzle might be even trickier! Keep learning, keep solving, and stay curious!
