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02 Nov 2021, 07:11
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So I dont know why I have this doubt but see: (x)^2 is always positive. what about -x^2?
if x=+ve say 2,
then -x^2=-1*(2)^2=-4
or
-2^2 = 4?
Which is correct in gmat language? should brackets be always there? Thanks
if x=+ve say 2,
then -x^2=-1*(2)^2=-4
or
-2^2 = 4?
Which is correct in gmat language? should brackets be always there? Thanks
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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02 Nov 2021, 17:34
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Hi multirealman,
There is a set of rules in math that are referred to as "the order of operations" (re: the order in which you're supposed to perform a calculation. That order can be described using the acronym PEMDAS:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
For example, with:
2 + 3 x 4
We have to do the multiplication BEFORE we do the addition (since multiplication is 'earlier' in the order than addition is...
2 + 3 x 4 = 2 + 12 = 14.... NOT 20.
The same idea applies when considering exponents; more specifically, what exactly is being 'raised' to that exponent. If there are parentheses, then we know that everything in the parentheses is raised; however, if there are NO parentheses, then it's only the individual number/variable that is raised. That's because of the same rules (we deal with the parentheses first, then the exponents, then multiplication, etc. For example...
(-2)^2 = (-2)(-2) = +4
-2^2 = (-1)(2^2) = (-1)(4) = -4
GMAT assassins aren't born, they're made,
Rich
There is a set of rules in math that are referred to as "the order of operations" (re: the order in which you're supposed to perform a calculation. That order can be described using the acronym PEMDAS:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
For example, with:
2 + 3 x 4
We have to do the multiplication BEFORE we do the addition (since multiplication is 'earlier' in the order than addition is...
2 + 3 x 4 = 2 + 12 = 14.... NOT 20.
The same idea applies when considering exponents; more specifically, what exactly is being 'raised' to that exponent. If there are parentheses, then we know that everything in the parentheses is raised; however, if there are NO parentheses, then it's only the individual number/variable that is raised. That's because of the same rules (we deal with the parentheses first, then the exponents, then multiplication, etc. For example...
(-2)^2 = (-2)(-2) = +4
-2^2 = (-1)(2^2) = (-1)(4) = -4
GMAT assassins aren't born, they're made,
Rich
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
