What is negative 4 times negative 95?




4 times 95 is 380, but what is the answer if both 4 and 95 are negative numbers? Here we will determine if the answer to negative 4 times negative 95 is positive 380 or negative 380.

There are many different ways to explain and determine if the answer to negative 4 times negative 95 is -380 or +380 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 -380 is the correct answer using basic algebra.

We will test if -380 is correct by setting up the equation negative 4 times negative 95 equals negative 380, and then simplifying the equation to see if it is true.

(-4) (-95) = (-380)

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

   
(-4) (-95)
 
   
(-95)
 =
   
(-380)
 
   
(-95)

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

  (-4) =
   
(-380)
 
   
(-95)

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

  (-4) =
   
(380)
 
   
(95)

A numerator of 380 and denominator of 95 on the right side is the same as 380 divided by 95 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 95 is not equal to -380. The answer must therefore be 380:

-4 x -95 = 380


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 95 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 4 times negative 96?
Here is the next problem on our list that we have explained and calculated.


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