What is negative 75 times negative 8?




75 times 8 is 600, but what is the answer if both 75 and 8 are negative numbers? Here we will determine if the answer to negative 75 times negative 8 is positive 600 or negative 600.

There are many different ways to explain and determine if the answer to negative 75 times negative 8 is -600 or +600 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 -600 is the correct answer using basic algebra.

We will test if -600 is correct by setting up the equation negative 75 times negative 8 equals negative 600, and then simplifying the equation to see if it is true.

(-75) (-8) = (-600)

Divide both sides of the equation by (-8) :

   
(-75) (-8)
 
   
(-8)
 =
   
(-600)
 
   
(-8)

The numerator and denominator on the left side both have (-8) which even each other out and can be removed:

  (-75) =
   
(-600)
 
   
(-8)

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

  (-75) =
   
(600)
 
   
(8)

A numerator of 600 and denominator of 8 on the right side is the same as 600 divided by 8 which is 75. Now we end up with this untrue equation:

(-75) = (75)

-75 is NOT equal to 75, thus we have proven that negative 75 times negative 8 is not equal to -600. The answer must therefore be 600:

-75 x -8 = 600


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 75 times negative 8 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 75 times negative 9?
Here is the next problem on our list that we have explained and calculated.


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