What is negative 58 times negative 79?




58 times 79 is 4582, but what is the answer if both 58 and 79 are negative numbers? Here we will determine if the answer to negative 58 times negative 79 is positive 4582 or negative 4582.

There are many different ways to explain and determine if the answer to negative 58 times negative 79 is -4582 or +4582 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 -4582 is the correct answer using basic algebra.

We will test if -4582 is correct by setting up the equation negative 58 times negative 79 equals negative 4582, and then simplifying the equation to see if it is true.

(-58) (-79) = (-4582)

Divide both sides of the equation by (-79) :

   
(-58) (-79)
 
   
(-79)
 =
   
(-4582)
 
   
(-79)

The numerator and denominator on the left side both have (-79) which even each other out and can be removed:

  (-58) =
   
(-4582)
 
   
(-79)

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

  (-58) =
   
(4582)
 
   
(79)

A numerator of 4582 and denominator of 79 on the right side is the same as 4582 divided by 79 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 79 is not equal to -4582. The answer must therefore be 4582:

-58 x -79 = 4582


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 58 times negative 79 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 80?
Here is the next problem on our list that we have explained and calculated.


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