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what is -5^2? Calculator says -25 but I think it is 25.

 May 13, 2016

Best Answer 

 #3
avatar+118723 
+6

No the calc is not wrong.

It is a matter of interpretation.

Some calcs will give the answer that you want but most will say that  -5^2=-25

What the calc is interpreting is

-5^2=-1×5^2=-1×25=-25

 

Consider  26-5^2

If the calc interpreted this the way you want the answer would be 26+25=51 which is obviously wrong.

 

Of course 

(-5)^2 = 25

 May 13, 2016
 #1
avatar
+5

Yes. -5^2 is the same thing as -5*-5.

That means the number would be positive.

I believe closing the term with parenthesis fixes this problem on most calculators.

 May 13, 2016
 #2
avatar
+5

Yes. You are right, It is 25.

Because of the convention in the order of assessing operations, exponential expressions are evaluated before addition or subtraction. The squaring is done before the sign change.

If the term is enclosed in parentheses, then squared, the answer will be correct.

 May 13, 2016
 #3
avatar+118723 
+6
Best Answer

No the calc is not wrong.

It is a matter of interpretation.

Some calcs will give the answer that you want but most will say that  -5^2=-25

What the calc is interpreting is

-5^2=-1×5^2=-1×25=-25

 

Consider  26-5^2

If the calc interpreted this the way you want the answer would be 26+25=51 which is obviously wrong.

 

Of course 

(-5)^2 = 25

Melody May 13, 2016
 #4
avatar
+5

Thanks!

 May 13, 2016

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