What is negative 79 times negative 54?




79 times 54 is 4266, but what is the answer if both 79 and 54 are negative numbers? Here we will determine if the answer to negative 79 times negative 54 is positive 4266 or negative 4266.

There are many different ways to explain and determine if the answer to negative 79 times negative 54 is -4266 or +4266 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 -4266 is the correct answer using basic algebra.

We will test if -4266 is correct by setting up the equation negative 79 times negative 54 equals negative 4266, and then simplifying the equation to see if it is true.

(-79) (-54) = (-4266)

Divide both sides of the equation by (-54) :

   
(-79) (-54)
 
   
(-54)
 =
   
(-4266)
 
   
(-54)

The numerator and denominator on the left side both have (-54) which even each other out and can be removed:

  (-79) =
   
(-4266)
 
   
(-54)

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

  (-79) =
   
(4266)
 
   
(54)

A numerator of 4266 and denominator of 54 on the right side is the same as 4266 divided by 54 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 54 is not equal to -4266. The answer must therefore be 4266:

-79 x -54 = 4266


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 79 times negative 54 will always have a positive answer.

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What is negative 79 times negative 55?
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