At first glance, this math problem seems simple. But don’t let its appearance fool you—it’s actually a clever test of your mathematical reasoning and problem-solving skills. If you’ve ever found yourself trying to remember the math you learned as a child, this puzzle might take you back to those school days. So, can you find the correct solution?

The Importance of the Order of Operations in Math

Before we dive into solving this equation, let’s refresh our understanding of the order of operations. This is a fundamental concept in mathematics, ensuring that calculations are performed in a specific sequence to avoid errors. You might remember the acronym PEMDAS, which stands for:

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

Following this sequence is crucial when solving complex equations. Multiplication and division come before addition and subtraction, so you must address these operations in the correct order to find the right answer.

Analyzing the Equation: 3 + 3×3 – 3 + 3 = ?

Now, let’s apply the order of operations to this specific equation. At first glance, it’s easy to assume that you should just solve from left to right, but that’s not how it works. To avoid making mistakes, we need to handle multiplication before dealing with addition and subtraction.

1. Step 1: Solve the Multiplication First
   • The equation is: 3 + 3×3 – 3 + 3
   • According to PEMDAS, we start with the multiplication: 3×3 = 9
2. Step 2: Substitute the Multiplication Result
   • After replacing the multiplication, the equation becomes: 3 + 9 – 3 + 3
3. Step 3: Perform the Addition and Subtraction from Left to Right
   • Start by adding: 3 + 9 = 12
   • Next, subtract: 12 – 3 = 9
   • Finally, add: 9 + 3 = 12

Thus, the correct answer to the equation 3 + 3×3 – 3 + 3 is 12.

Why Do People Get This Problem Wrong?

Despite its simplicity, this math problem often catches people off guard. Here are some common mistakes:

1. Misunderstanding the Order of Operations
   • Many people forget the rules of PEMDAS, tackling the equation from left to right without prioritizing multiplication.
2. Overlooking Multiplication
   • Because there are no parentheses, it’s easy to miss the fact that multiplication must be performed before addition and subtraction.
3. Rushing Through the Problem
   • In the excitement to solve the problem quickly, people may add and subtract the numbers immediately, leading to incorrect results.

The math problem 3 + 3×3 – 3 + 3 = ? is a great reminder that appearances can be deceiving. It looks simple, but it requires careful attention to the order of operations to find the correct answer. Remember, math is all about precision, so always take the time to follow the rules and think critically. Whether you got it right or were surprised by the correct answer, this problem demonstrates the importance of applying foundational math concepts to everyday challenges.

So, what’s your answer? Did you solve it correctly? Let us know in the comments! And if you enjoyed this puzzle, keep challenging yourself with more brain teasers to boost your math skills.