What is negative 88 times negative 3?




88 times 3 is 264, but what is the answer if both 88 and 3 are negative numbers? Here we will determine if the answer to negative 88 times negative 3 is positive 264 or negative 264.

There are many different ways to explain and determine if the answer to negative 88 times negative 3 is -264 or +264 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 -264 is the correct answer using basic algebra.

We will test if -264 is correct by setting up the equation negative 88 times negative 3 equals negative 264, and then simplifying the equation to see if it is true.

(-88) (-3) = (-264)

Divide both sides of the equation by (-3) :

   
(-88) (-3)
 
   
(-3)
 =
   
(-264)
 
   
(-3)

The numerator and denominator on the left side both have (-3) which even each other out and can be removed:

  (-88) =
   
(-264)
 
   
(-3)

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

  (-88) =
   
(264)
 
   
(3)

A numerator of 264 and denominator of 3 on the right side is the same as 264 divided by 3 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 3 is not equal to -264. The answer must therefore be 264:

-88 x -3 = 264


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 88 times negative 3 will always have a positive answer.

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