Why is 8÷2(2+2) = 1?

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My thought process: if I had 8÷(4+4) = 1 and factored out a 2, I get 8÷2(2+2) = 1. However, if I say 2(2+2) = 2*(2+2), then 8÷2(2+2) = 8÷2*(2+2) = 1, BUT 8÷2*(2+2) = 16.
Please help I’m feeling dumber by the second

In: Mathematics

20 Answers

Anonymous 0 Comments

For those who keeping spouting PEMDAS, you’re missing something huge with order of operations. The correct interpretation of PEMDAS is:
-Parentheses
-Exponents
-Multiplication AND Division from left to right
-Addiction AND Subtraction from left to right

Lemme say it again: multiplication is not ALWAYS performed before division—it MUST be calculated from left to right. The same applies to addition and subtraction.

If the division symbol were actually a /, then the original equation would be: 8 / 2 * (2 + 2). Following order of operations (which is what is being stressed here, NOT the division symbol vs /)…
Parentheses: 8 / 2 * (2 + 2) = 8 / 2 * (4)
Multiplication/Division from left to right: 8 / 2 * (4) = 4 * (4) = 16

Why is this so complicated for people to understand? I blame Common Core math…

Edits: rewording my statements to better explain myself.

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