What is negative 79 times negative 9?




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

There are many different ways to explain and determine if the answer to negative 79 times negative 9 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 79 times negative 9 equals negative 711, and then simplifying the equation to see if it is true.

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

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

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

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

  (-79) =
   
(-711)
 
   
(-9)

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

  (-79) =
   
(711)
 
   
(9)

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

(-79) = (79)

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

-79 x -9 = 711


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

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What is negative 79 times negative 10?
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