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Posted November 3, 2016 By Presh Talwalkar. Read about me, or email me.
Here we go again, another order of operations problem. This equation has been shared on Twitter and Facebook and many people are confused about the correct answer.
7 + 7 ÷ 7 + 7 × 7 – 7 =
In the following video I explain the answer and present two different ways to simplify the expression.
What Is 7 + 7 ÷ 7 + 7 × 7 + 7 Equal To? The Correct Answer Explained
Or keep reading for a text explanation. . ."All will be well if you use your mind for your decisions, and mind only your decisions." Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. yellowcomic.com now has over 1,000 free articles with no ads thanks to community support! Help out and get early access to posts with a pledge on Patreon.. . . . . . MIND . YOUR . DECISIONS . BY . PRESH . TALWALKAR . . . . The Correct Answer
The correct answer is 50.
One way to see this is to translate the expression 7 + 7 ÷ 7 + 7 × 7 – 7 = into a situation about money.
The expression begins with 7, so you start out with $7.
The next part is “+ 7 ÷ 7.” This means you get a 1/7 share of $7. Since a 1/7 share of $7 is $1, that means you get $1. At this point you have $7 + $1 = $8.
The next part is “+ 7 × 7.” This means you get $7 more, repeated 7 times. Since a $7 times 7 is $49, that means you get $49 in total. At this point you have $8 + $49 = $57.
The last part is “- 7.” That means $7 is taken away from you. You subtract $7, so you end up with $57 – $7 = $50.
The correct answer is therefore 50.
The expression can also be simplified by the order of operations, often remembered by the acronyms PEMDAS/BODMAS.
First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.
The expression 7 + 7 ÷ 7 + 7 × 7 – 7 has no parentheses or exponents, so we evaluate multiplication and division.
7 ÷ 7 = 1 7 × 7 = 49
7 + 7 ÷ 7 + 7 × 7 – 7 = 7 + 1 + 49 – 7
Now we can evaluate the addition and the subtraction from left to right.
= 8 + 49 – 7 = 57 – 7 = 50
The correct answer is 50.
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