What is negative 8 times negative 24?




8 times 24 is 192, but what is the answer if both 8 and 24 are negative numbers? Here we will determine if the answer to negative 8 times negative 24 is positive 192 or negative 192.

There are many different ways to explain and determine if the answer to negative 8 times negative 24 is -192 or +192 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 -192 is the correct answer using basic algebra.

We will test if -192 is correct by setting up the equation negative 8 times negative 24 equals negative 192, and then simplifying the equation to see if it is true.

(-8) (-24) = (-192)

Divide both sides of the equation by (-24) :

   
(-8) (-24)
 
   
(-24)
 =
   
(-192)
 
   
(-24)

The numerator and denominator on the left side both have (-24) which even each other out and can be removed:

  (-8) =
   
(-192)
 
   
(-24)

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

  (-8) =
   
(192)
 
   
(24)

A numerator of 192 and denominator of 24 on the right side is the same as 192 divided by 24 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 24 is not equal to -192. The answer must therefore be 192:

-8 x -24 = 192


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 8 times negative 24 will always have a positive answer.

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What is negative 8 times negative 25?
Here is the next problem on our list that we have explained and calculated.


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