What is negative 3 times negative 88?




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

There are many different ways to explain and determine if the answer to negative 3 times negative 88 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 3 times negative 88 equals negative 264, and then simplifying the equation to see if it is true.

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

Divide both sides of the equation by (-88) :

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

The numerator and denominator on the left side both have (-88) which even each other out and can be removed:

  (-3) =
   
(-264)
 
   
(-88)

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

  (-3) =
   
(264)
 
   
(88)

A numerator of 264 and denominator of 88 on the right side is the same as 264 divided by 88 which is 3. Now we end up with this untrue equation:

(-3) = (3)

-3 is NOT equal to 3, thus we have proven that negative 3 times negative 88 is not equal to -264. The answer must therefore be 264:

-3 x -88 = 264


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

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What is negative 3 times negative 89?
Here is the next problem on our list that we have explained and calculated.


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