What is negative 2 times negative 95?




2 times 95 is 190, but what is the answer if both 2 and 95 are negative numbers? Here we will determine if the answer to negative 2 times negative 95 is positive 190 or negative 190.

There are many different ways to explain and determine if the answer to negative 2 times negative 95 is -190 or +190 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 -190 is the correct answer using basic algebra.

We will test if -190 is correct by setting up the equation negative 2 times negative 95 equals negative 190, and then simplifying the equation to see if it is true.

(-2) (-95) = (-190)

Divide both sides of the equation by (-95) :

   
(-2) (-95)
 
   
(-95)
 =
   
(-190)
 
   
(-95)

The numerator and denominator on the left side both have (-95) which even each other out and can be removed:

  (-2) =
   
(-190)
 
   
(-95)

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

  (-2) =
   
(190)
 
   
(95)

A numerator of 190 and denominator of 95 on the right side is the same as 190 divided by 95 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 95 is not equal to -190. The answer must therefore be 190:

-2 x -95 = 190


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 95 will always have a positive answer.

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What is negative 2 times negative 96?
Here is the next problem on our list that we have explained and calculated.


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