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02 Nov 2021, 07:11
Kudos
Bookmarks
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
02 Nov 2021, 17:34
Kudos
Bookmarks
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
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