What is negative 9 times negative 79?




9 times 79 is 711, but what is the answer if both 9 and 79 are negative numbers? Here we will determine if the answer to negative 9 times negative 79 is positive 711 or negative 711.

There are many different ways to explain and determine if the answer to negative 9 times negative 79 is -711 or +711 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 -711 is the correct answer using basic algebra.

We will test if -711 is correct by setting up the equation negative 9 times negative 79 equals negative 711, and then simplifying the equation to see if it is true.

(-9) (-79) = (-711)

Divide both sides of the equation by (-79) :

   
(-9) (-79)
 
   
(-79)
 =
   
(-711)
 
   
(-79)

The numerator and denominator on the left side both have (-79) which even each other out and can be removed:

  (-9) =
   
(-711)
 
   
(-79)

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

  (-9) =
   
(711)
 
   
(79)

A numerator of 711 and denominator of 79 on the right side is the same as 711 divided by 79 which is 9. Now we end up with this untrue equation:

(-9) = (9)

-9 is NOT equal to 9, thus we have proven that negative 9 times negative 79 is not equal to -711. The answer must therefore be 711:

-9 x -79 = 711


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 79 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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What is negative 9 times negative 80?
Here is the next problem on our list that we have explained and calculated.


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