What is negative 2 times negative 79?




2 times 79 is 158, but what is the answer if both 2 and 79 are negative numbers? Here we will determine if the answer to negative 2 times negative 79 is positive 158 or negative 158.

There are many different ways to explain and determine if the answer to negative 2 times negative 79 is -158 or +158 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 -158 is the correct answer using basic algebra.

We will test if -158 is correct by setting up the equation negative 2 times negative 79 equals negative 158, and then simplifying the equation to see if it is true.

(-2) (-79) = (-158)

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

   
(-2) (-79)
 
   
(-79)
 =
   
(-158)
 
   
(-79)

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

  (-2) =
   
(-158)
 
   
(-79)

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

  (-2) =
   
(158)
 
   
(79)

A numerator of 158 and denominator of 79 on the right side is the same as 158 divided by 79 which is 2. Now we end up with this untrue equation:

(-2) = (2)

-2 is NOT equal to 2, thus we have proven that negative 2 times negative 79 is not equal to -158. The answer must therefore be 158:

-2 x -79 = 158


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 79 will always have a positive answer.

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What is negative 2 times negative 80?
Here is the next problem on our list that we have explained and calculated.


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