What is negative 86 times negative 99?




86 times 99 is 8514, but what is the answer if both 86 and 99 are negative numbers? Here we will determine if the answer to negative 86 times negative 99 is positive 8514 or negative 8514.

There are many different ways to explain and determine if the answer to negative 86 times negative 99 is -8514 or +8514 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 -8514 is the correct answer using basic algebra.

We will test if -8514 is correct by setting up the equation negative 86 times negative 99 equals negative 8514, and then simplifying the equation to see if it is true.

(-86) (-99) = (-8514)

Divide both sides of the equation by (-99) :

   
(-86) (-99)
 
   
(-99)
 =
   
(-8514)
 
   
(-99)

The numerator and denominator on the left side both have (-99) which even each other out and can be removed:

  (-86) =
   
(-8514)
 
   
(-99)

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

  (-86) =
   
(8514)
 
   
(99)

A numerator of 8514 and denominator of 99 on the right side is the same as 8514 divided by 99 which is 86. Now we end up with this untrue equation:

(-86) = (86)

-86 is NOT equal to 86, thus we have proven that negative 86 times negative 99 is not equal to -8514. The answer must therefore be 8514:

-86 x -99 = 8514


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 86 times negative 99 will always have a positive answer.

Negative Times Negative Calculator
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