Order of operations math teasers frequently go viral because they challenge how well we remember the fundamental rules of arithmetic: PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). By attaching simple math expressions to a relatable scenario—like ordering pizzas—these brain teasers test mental accuracy and precision.
In the graphic above, three friends sitting at a table state how much pizza they ordered using mathematical expressions:
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Girl on the Left (Blue Top): Says she ordered $2^3$.
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Boy in the Middle (Green Hoodie): Says he ordered $2 + 2 \times 3$.
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Boy on the Right (Dark Grey T-Shirt): Says he ordered $2(3 + 1)$.
By solving each expression using standard order of operations, we can determine who ordered the most.
Step-by-Step Breakdown
Let’s evaluate each math expression individually:
1. Girl on the Left (Blue Top): $2^3$
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This is an exponent problem where 2 is raised to the power of 3.
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Calculation:
$$2^3 = 2 \times 2 \times 2 = 8$$ -
Total: 8 pizzas.
2. Boy in the Middle (Green Hoodie): $2 + 2 \times 3$
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According to PEMDAS/BODMAS, multiplication must be performed before addition.
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Step 1 (Multiplication):
$$2 \times 3 = 6$$ -
Step 2 (Addition):
$$2 + 6 = 8$$ -
Total: 8 pizzas.
3. Boy on the Right (Dark Grey T-Shirt): $2(3 + 1)$
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According to PEMDAS/BODMAS, terms inside parentheses must be calculated first.
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Step 1 (Parentheses):
$$3 + 1 = 4$$ -
Step 2 (Multiplication):
$$2 \times 4 = 8$$ -
Total: 8 pizzas.
The Final Answer
It’s a three-way tie! Every single person ordered 8 pizzas, as $2^3 = 8$, $2 + 2 \times 3 = 8$, and $2(3 + 1) = 8$.
Why Order of Operations Riddles Go Viral
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Order of Operations Traps: People moving too quickly often perform addition before multiplication ($2 + 2 = 4 \times 3 = 12$), leading to lively arguments in comment sections.
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Satisfying Symmetry: The realization that three completely different mathematical expressions simplify to the exact same number provides a fun “aha!” moment.
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Great Educational Refresher: Serves as a quick, engaging way for adults and students alike to practice fundamental math concepts.