If you’ve seen the viral math puzzle that reads:
3 × 3 − 3 ÷ 3 + 3
Then you’ve probably paused for a second. It looks simple. Yet the correct answer escapes many. Let’s break it down using proper order of operations, often remembered by the acronym PEMDAS — Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-Step Breakdown
Let’s evaluate the expression step by step.
Expression: 3 × 3 − 3 ÷ 3 + 3
Step 1: Multiplication and Division (left to right)
3 × 3 = 9
3 ÷ 3 = 1
Now substitute those results into the expression:
9 − 1 + 3
Step 2: Addition and Subtraction (left to right)
9 − 1 = 8
8 + 3 = 11
✅ Final Answer: 11
Many people get this wrong by not following the order of operations. Some add or subtract before dividing or multiplying, which gives the wrong result.
Why Do People Get It Wrong?
Mental shortcuts and ignoring operator precedence often lead to mistakes. These puzzles test your attention to detail. They’re not hard — they’re tricky. That’s the genius of it.
Sharpening Your Mind with Math Challenges
Regular brain teasers boost focus. They enhance logical thinking. Puzzles like this one improve problem-solving skills. Solving them trains your brain to process information efficiently. Over time, you’ll notice improved performance in day-to-day decisions.
Other Quick Math Puzzles to Try
6 ÷ 2(1 + 2)
Solution: 6 ÷ 2(3) → 6 ÷ 2 × 3 → 3 × 3 = 9
8 + 2 × 5 − 4 ÷ 2
Solve: 2 × 5 = 10, 4 ÷ 2 = 2
So: 8 + 10 − 2 = 16
7 − 2 × (3 + 1)
Inside parentheses: (3 + 1) = 4
Multiply: 2 × 4 = 8
Subtract: 7 − 8 = −1
Tips to Always Get It Right
Always follow PEMDAS.
Multiply and divide before you add or subtract.
Left to right matters with operators at the same level.
Use a calculator only to double-check your result.
Practice daily — even for just 5 minutes.
Click Here To See Solve The Viral Math Puzzle That’s Stumping The Internet