What is negative 88 times negative 8?




88 times 8 is 704, but what is the answer if both 88 and 8 are negative numbers? Here we will determine if the answer to negative 88 times negative 8 is positive 704 or negative 704.

There are many different ways to explain and determine if the answer to negative 88 times negative 8 is -704 or +704 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 -704 is the correct answer using basic algebra.

We will test if -704 is correct by setting up the equation negative 88 times negative 8 equals negative 704, and then simplifying the equation to see if it is true.

(-88) (-8) = (-704)

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

   
(-88) (-8)
 
   
(-8)
 =
   
(-704)
 
   
(-8)

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

  (-88) =
   
(-704)
 
   
(-8)

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

  (-88) =
   
(704)
 
   
(8)

A numerator of 704 and denominator of 8 on the right side is the same as 704 divided by 8 which is 88. Now we end up with this untrue equation:

(-88) = (88)

-88 is NOT equal to 88, thus we have proven that negative 88 times negative 8 is not equal to -704. The answer must therefore be 704:

-88 x -8 = 704


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 88 times negative 8 will always have a positive answer.

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What is negative 88 times negative 9?
Here is the next problem on our list that we have explained and calculated.


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