What is negative 99 times negative 9?




99 times 9 is 891, but what is the answer if both 99 and 9 are negative numbers? Here we will determine if the answer to negative 99 times negative 9 is positive 891 or negative 891.

There are many different ways to explain and determine if the answer to negative 99 times negative 9 is -891 or +891 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 -891 is the correct answer using basic algebra.

We will test if -891 is correct by setting up the equation negative 99 times negative 9 equals negative 891, and then simplifying the equation to see if it is true.

(-99) (-9) = (-891)

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

   
(-99) (-9)
 
   
(-9)
 =
   
(-891)
 
   
(-9)

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

  (-99) =
   
(-891)
 
   
(-9)

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

  (-99) =
   
(891)
 
   
(9)

A numerator of 891 and denominator of 9 on the right side is the same as 891 divided by 9 which is 99. Now we end up with this untrue equation:

(-99) = (99)

-99 is NOT equal to 99, thus we have proven that negative 99 times negative 9 is not equal to -891. The answer must therefore be 891:

-99 x -9 = 891


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 99 times negative 9 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 99 times negative 10?
Here is the next problem on our list that we have explained and calculated.


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