Kdoug18
Trying to improve from Q47 to Q49.
Going over one of the older
MGMAT Foundations of Quant book, not sure if I'm just being stupid.
Question is 3 + 4(5-1) - 3^2 *2
so in the book they got to 19-18 = 1
ive got to 19 + 18 = 37
Think the question im trying to ask is about is if its + (-3)^2 or if its - (3)^2, I always thought it was the former.
Perhaps the book has a mistake, or i'm missing something?
Hello,
Kdoug18. The book is correct. To put it simply,
\(-3^2 = -9\)
Why? Because according to the order of operations, you
must resolve exponents before performing any of the other basic operations (addition, subtraction, multiplication, and division). Without parentheses, any calculator would interpret
\(-3^2\)
as 3 raised to the power of 2, with a negative sign that is then applied. (Go ahead and try it on a calculator if you do not believe me.) For the other interpretation to work, you would have to have parentheses around the negative as well, as in
\((-3)^2\)
Yours is a common mistake in interpretation that I have seen in my tutoring, so you have plenty of company. It is not a stupid question at all. If it helps, you can even conceptualize the expression as
\(-(3)(3)\)
I think you would have no trouble accepting that the answer to the above was -9. I hope that helps clarify the issue. If not, feel free to ask away.
- Andrew