What is negative 19 times negative 41?




19 times 41 is 779, but what is the answer if both 19 and 41 are negative numbers? Here we will determine if the answer to negative 19 times negative 41 is positive 779 or negative 779.

There are many different ways to explain and determine if the answer to negative 19 times negative 41 is -779 or +779 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 -779 is the correct answer using basic algebra.

We will test if -779 is correct by setting up the equation negative 19 times negative 41 equals negative 779, and then simplifying the equation to see if it is true.

(-19) (-41) = (-779)

Divide both sides of the equation by (-41) :

   
(-19) (-41)
 
   
(-41)
 =
   
(-779)
 
   
(-41)

The numerator and denominator on the left side both have (-41) which even each other out and can be removed:

  (-19) =
   
(-779)
 
   
(-41)

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

  (-19) =
   
(779)
 
   
(41)

A numerator of 779 and denominator of 41 on the right side is the same as 779 divided by 41 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 41 is not equal to -779. The answer must therefore be 779:

-19 x -41 = 779


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 19 times negative 41 will always have a positive answer.

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What is negative 19 times negative 42?
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