What is negative 3 times negative 95?




3 times 95 is 285, but what is the answer if both 3 and 95 are negative numbers? Here we will determine if the answer to negative 3 times negative 95 is positive 285 or negative 285.

There are many different ways to explain and determine if the answer to negative 3 times negative 95 is -285 or +285 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 -285 is the correct answer using basic algebra.

We will test if -285 is correct by setting up the equation negative 3 times negative 95 equals negative 285, and then simplifying the equation to see if it is true.

(-3) (-95) = (-285)

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

   
(-3) (-95)
 
   
(-95)
 =
   
(-285)
 
   
(-95)

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

  (-3) =
   
(-285)
 
   
(-95)

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

  (-3) =
   
(285)
 
   
(95)

A numerator of 285 and denominator of 95 on the right side is the same as 285 divided by 95 which is 3. Now we end up with this untrue equation:

(-3) = (3)

-3 is NOT equal to 3, thus we have proven that negative 3 times negative 95 is not equal to -285. The answer must therefore be 285:

-3 x -95 = 285


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 3 times negative 95 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 3 times negative 96?
Here is the next problem on our list that we have explained and calculated.


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