At first glance, the equation 110 − 10 × 10 + 10 seems childish. However, a simple mix-up regarding the order of operations could lead to an incorrect result. How can you be sure of your answer? Let’s get to the bottom of this puzzle and discover the meaning of PEMDAS or BODMAS together!
Why the Order of Operations Matters
Imagine you’re preparing a dish: you wouldn’t just mix all the ingredients without following a specific order. The same applies to mathematics! PEMDAS or BODMAS guides you like a recipe:
P: Parenthesis (B for brackets in English)
E: Exponents (or orders, like powers)
M and D: Multiplication and division (solved from left to right)
A and S: Addition and subtraction (also from left to right).
Without this method, chaos reigns, and the results become unpredictable, like an unbaked cake.
Let’s solve it step by step: deciphering the puzzle
The equation to be solved is: 110 − 10 × 10 + 10. We will apply the PEMDAS/BODMAS method step by step.
Operational monitoring
This equation contains subtraction, multiplication, and addition. According to PEMDAS/BODMAS, multiplication takes precedence.
Let’s perform the multiplication.
We multiply 10 × 10, which equals 100. The equation then reads:
110 − 100 + 10.
Let’s continue with subtraction and addition.
From left to right:
110 − 100 = 10
Therefore, 10 + 10 = 20
Final result: 20.
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