What is negative 58 times negative 1?




58 times 1 is 58, but what is the answer if both 58 and 1 are negative numbers? Here we will determine if the answer to negative 58 times negative 1 is positive 58 or negative 58.

There are many different ways to explain and determine if the answer to negative 58 times negative 1 is -58 or +58 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.

We will take a different approach - process of elimination: We will simply test if -58 is the correct answer using basic algebra.

We will test if -58 is correct by setting up the equation negative 58 times negative 1 equals negative 58, and then simplifying the equation to see if it is true.

(-58) (-1) = (-58)

Divide both sides of the equation by (-1) :

   
(-58) (-1)
 
   
(-1)
 =
   
(-58)
 
   
(-1)

The numerator and denominator on the left side both have (-1) which even each other out and can be removed:

  (-58) =
   
(-58)
 
   
(-1)

The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:

  (-58) =
   
(58)
 
   
(1)

A numerator of 58 and denominator of 1 on the right side is the same as 58 divided by 1 which is 58. Now we end up with this untrue equation:

(-58) = (58)

-58 is NOT equal to 58, thus we have proven that negative 58 times negative 1 is not equal to -58. The answer must therefore be 58:

-58 x -1 = 58


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 58 times negative 1 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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What is negative 58 times negative 2?
Here is the next problem on our list that we have explained and calculated.


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