Is -5 squared 25 or -25?
The problem only asks to find -5 squared, so I think it would be 25 because -5 times -5 is 25. However, my friend thinks -5 squared is -25. She thinks this because since it doesn't have parenthesis it would be mean the opposite of 5 squared. Therefore 5 times 5 is 25 and the opposite of that is -25. Who is right?
- Anonymous3 days ago
A negative times a negative number would always equal to a positive one but the answer could vary given the parenthesis. If somehow the value is (-5)² then the answer would still be 25, but if given, -(5)², one's task is to firstly solve and square it first before combining it with a negative value, which, in this case, the answer should be -25.
- DWReadLv 73 days ago
It's not telling you to take -5 and square it.
It's telling you to take 5 and square it, then take the negative.
-5² = -5·5 = -25
(-5)² = (-5)(-5) = 25
- 5 days ago
It depends, you should state whether a parenthesis is present or not. For example, -5^2 would be -25, while (-5)^2 would be 25. So, what the problem asks is not really specific, so I would have to say both you and your friend are correct
- MarkLv 76 days ago
25. 5i squared would be -25.
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- 6 days ago
I can see why your friend is confused. parenthesis make the operation clear. When you ask me what -5 squared is, you can write it as (-5)^2, which, as you said, is 25.
If you were to write it as -(5)^2, then yeah it is -25.
- oldprofLv 76 days ago
Given i^2 = -1 by definition, we have -5 = -1*5 = i^2 * 5; so that (i^2 * 5)^2 = i^4 * 5^2 = (-1)*(-1) * 5^2 = +1* 25 = 25 QED.
- billrussell42Lv 77 days ago
as others have said, english is ambiguous.
(–5)² = 25
–(5)² = –25
- fcas80Lv 77 days ago
The question is ambiguous. Obviously parentheses would clear up the ambiguity.
If you see the expression -x^2, most people agree that equals -1 times (x^2). For example y = -x^2 is the upside down parabola y = -(x^2).
Therefore, I am going with -25.
- JimLv 77 days ago
(-5)(-5) = 25 << this is the assumed meaning
- (5)(5) = -25 << If you wanted this, say the negative "of" 5 squared.
Using English for math problems can be problematic unless specific.
Even WA says it's 25Source(s): But you knew this already