Math puzzles and brain teasers frequently go viral across social media because they challenge our memory of fundamental arithmetic rules learned in school. A simple expression can lead to wildly different answers depending on whether order-of-operations conventions are followed correctly.
The image above shows a handwritten note with the text “Answer is NOT 20!” above the mathematical expression: “5 + 5 + 5 ÷ 5”.
Understanding the standard order of operations (PEMDAS / BODMAS) helps solve this puzzle easily and clarifies why common mistakes occur.
Step-by-Step Mathematical Calculation
To evaluate the expression 5 + 5 + 5 ÷ 5 correctly, we follow standard mathematical rules:
1. Identify Order of Operations (PEMDAS / BODMAS)
Division First: According to order of operations rules, division and multiplication must be performed before addition and subtraction.
Perform the Division: Calculate $5 \div 5 = 1$.
2. Perform the Addition
Substitute the Result: Replace $5 \div 5$ with $1$ in the expression, leaving $5 + 5 + 1$.
Add from Left to Right:
$5 + 5 = 10$
$10 + 1 = 11$
Why Common Mistakes Happen
Calculating Left-to-Right without Priority: Adding $5 + 5 + 5$ first yields $15$, and then dividing by $5$ gives $3$.
Ignoring Division Rules: Some miscalculate by adding $5 + 5$ to get $10$, then adding $5$ to get $15$, or misunderstanding how terms group together.
Why the Answer Is Not 20: Adding $5 + 5 + 5 + 5$ equals $20$, but because the final sign is division ($\div$), the result reduces to 11.
Connecting Problem-Solving to Long-Term Financial Security
Developing logical problem-solving skills and attention to detail helps avoid costly errors in daily budgeting, accounting, and decision-making. Analytical precision is valuable across all aspects of personal and professional life.
Just as following accurate rules ensures correct mathematical outcomes, taking a structured approach to personal finance, maintaining adequate health and property insurance coverage, and exploring strategic investment or business opportunities safeguard your overall financial security and peace of mind.
Conclusion
Following the standard order of operations gives the final correct answer: 11! Paying close attention to operational symbols easily clears up viral math confusion.
Did you solve it correctly on your first try? Share your thoughts and challenge your friends in the comments below!
Frequently Asked Questions (FAQ)
What is the order of operations rule?
The order of operations is summarized by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).
Why do division and multiplication come before addition?
Multiplication and division represent repeated operations and grouped quantities, giving them higher priority than simple addition or subtraction when evaluating an unparenthesized mathematical expression.
What is the final answer to 5 + 5 + 5 ÷ 5?
The final correct answer is 11 ($5 \div 5 = 1$, then $5 + 5 + 1 = 11$).
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