What is negative 95 times negative 9?




95 times 9 is 855, but what is the answer if both 95 and 9 are negative numbers? Here we will determine if the answer to negative 95 times negative 9 is positive 855 or negative 855.

There are many different ways to explain and determine if the answer to negative 95 times negative 9 is -855 or +855 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 -855 is the correct answer using basic algebra.

We will test if -855 is correct by setting up the equation negative 95 times negative 9 equals negative 855, and then simplifying the equation to see if it is true.

(-95) (-9) = (-855)

Divide both sides of the equation by (-9) :

   
(-95) (-9)
 
   
(-9)
 =
   
(-855)
 
   
(-9)

The numerator and denominator on the left side both have (-9) which even each other out and can be removed:

  (-95) =
   
(-855)
 
   
(-9)

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

  (-95) =
   
(855)
 
   
(9)

A numerator of 855 and denominator of 9 on the right side is the same as 855 divided by 9 which is 95. Now we end up with this untrue equation:

(-95) = (95)

-95 is NOT equal to 95, thus we have proven that negative 95 times negative 9 is not equal to -855. The answer must therefore be 855:

-95 x -9 = 855


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 95 times negative 9 will always have a positive answer.

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What is negative 95 times negative 10?
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