What is negative 88 times negative 6?




88 times 6 is 528, but what is the answer if both 88 and 6 are negative numbers? Here we will determine if the answer to negative 88 times negative 6 is positive 528 or negative 528.

There are many different ways to explain and determine if the answer to negative 88 times negative 6 is -528 or +528 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 -528 is the correct answer using basic algebra.

We will test if -528 is correct by setting up the equation negative 88 times negative 6 equals negative 528, and then simplifying the equation to see if it is true.

(-88) (-6) = (-528)

Divide both sides of the equation by (-6) :

   
(-88) (-6)
 
   
(-6)
 =
   
(-528)
 
   
(-6)

The numerator and denominator on the left side both have (-6) which even each other out and can be removed:

  (-88) =
   
(-528)
 
   
(-6)

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

  (-88) =
   
(528)
 
   
(6)

A numerator of 528 and denominator of 6 on the right side is the same as 528 divided by 6 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 6 is not equal to -528. The answer must therefore be 528:

-88 x -6 = 528


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 88 times negative 6 will always have a positive answer.

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