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Why do calculators think -3^2 is -(3^2)? -3 and (-3) are the same thing. Therefore it should not change the math by putting the parentheses in the wrong place! -3 x -3 is the correct equation described, not -3 x 3!

 May 13, 2014

Best Answer 

 #1
avatar+33654 
+5

What you have said is not correct!  Remember that raising to a power takes precedence over negation, so -32 without brackets is the same as -(32).  Suppose this were not the case, then you could have the following strange situation:

-32 = 9

0 - 32 = -9

Yet most of us think of -32 as the same thing as 0 - 32.

If you don't like this convention (namely, that -32 is different from (-3)2), then use Microsoft Excel, which treats them as the same!  Most proper scientific calculators and mathematical software treat raising to the power as a higher priority than unary negation.

On the calculator on this site, if you enter -32, the calculator even puts brackets around the 32 to reinforce the fact that it is making the standard assumptions on hierarchy!

 

(32)=9

 May 13, 2014
 #1
avatar+33654 
+5
Best Answer

What you have said is not correct!  Remember that raising to a power takes precedence over negation, so -32 without brackets is the same as -(32).  Suppose this were not the case, then you could have the following strange situation:

-32 = 9

0 - 32 = -9

Yet most of us think of -32 as the same thing as 0 - 32.

If you don't like this convention (namely, that -32 is different from (-3)2), then use Microsoft Excel, which treats them as the same!  Most proper scientific calculators and mathematical software treat raising to the power as a higher priority than unary negation.

On the calculator on this site, if you enter -32, the calculator even puts brackets around the 32 to reinforce the fact that it is making the standard assumptions on hierarchy!

 

(32)=9

Alan May 13, 2014

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