What is negative 8 times negative 19?




8 times 19 is 152, but what is the answer if both 8 and 19 are negative numbers? Here we will determine if the answer to negative 8 times negative 19 is positive 152 or negative 152.

There are many different ways to explain and determine if the answer to negative 8 times negative 19 is -152 or +152 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 -152 is the correct answer using basic algebra.

We will test if -152 is correct by setting up the equation negative 8 times negative 19 equals negative 152, and then simplifying the equation to see if it is true.

(-8) (-19) = (-152)

Divide both sides of the equation by (-19) :

   
(-8) (-19)
 
   
(-19)
 =
   
(-152)
 
   
(-19)

The numerator and denominator on the left side both have (-19) which even each other out and can be removed:

  (-8) =
   
(-152)
 
   
(-19)

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

  (-8) =
   
(152)
 
   
(19)

A numerator of 152 and denominator of 19 on the right side is the same as 152 divided by 19 which is 8. Now we end up with this untrue equation:

(-8) = (8)

-8 is NOT equal to 8, thus we have proven that negative 8 times negative 19 is not equal to -152. The answer must therefore be 152:

-8 x -19 = 152


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 8 times negative 19 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 8 times negative 20?
Here is the next problem on our list that we have explained and calculated.


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