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8 / 2 (2+2) = ?

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Everyone is in agreement about the first step: simplify the addition inside the parentheses.

8÷2(2 + 2)= 8÷2(4)

This is where the debate starts.

The answer is 16

If you type 8÷2(4) into a calculator, the input has to be parsed and then computed. Most calculators will convert the parentheses into an implied multiplication, so we get

8÷2(4)= 8÷2×4

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 8 and divide it by 2, and then multiply by 4.

8÷2×4= 4×4= 16

This gets to the correct answer of 16.

 
 
 

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