What is negative 19 times negative 56?




19 times 56 is 1064, but what is the answer if both 19 and 56 are negative numbers? Here we will determine if the answer to negative 19 times negative 56 is positive 1064 or negative 1064.

There are many different ways to explain and determine if the answer to negative 19 times negative 56 is -1064 or +1064 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 -1064 is the correct answer using basic algebra.

We will test if -1064 is correct by setting up the equation negative 19 times negative 56 equals negative 1064, and then simplifying the equation to see if it is true.

(-19) (-56) = (-1064)

Divide both sides of the equation by (-56) :

   
(-19) (-56)
 
   
(-56)
 =
   
(-1064)
 
   
(-56)

The numerator and denominator on the left side both have (-56) which even each other out and can be removed:

  (-19) =
   
(-1064)
 
   
(-56)

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

  (-19) =
   
(1064)
 
   
(56)

A numerator of 1064 and denominator of 56 on the right side is the same as 1064 divided by 56 which is 19. Now we end up with this untrue equation:

(-19) = (19)

-19 is NOT equal to 19, thus we have proven that negative 19 times negative 56 is not equal to -1064. The answer must therefore be 1064:

-19 x -56 = 1064


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 19 times negative 56 will always have a positive answer.

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What is negative 19 times negative 57?
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