What is negative 72 times negative 88?




72 times 88 is 6336, but what is the answer if both 72 and 88 are negative numbers? Here we will determine if the answer to negative 72 times negative 88 is positive 6336 or negative 6336.

There are many different ways to explain and determine if the answer to negative 72 times negative 88 is -6336 or +6336 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 -6336 is the correct answer using basic algebra.

We will test if -6336 is correct by setting up the equation negative 72 times negative 88 equals negative 6336, and then simplifying the equation to see if it is true.

(-72) (-88) = (-6336)

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

   
(-72) (-88)
 
   
(-88)
 =
   
(-6336)
 
   
(-88)

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

  (-72) =
   
(-6336)
 
   
(-88)

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

  (-72) =
   
(6336)
 
   
(88)

A numerator of 6336 and denominator of 88 on the right side is the same as 6336 divided by 88 which is 72. Now we end up with this untrue equation:

(-72) = (72)

-72 is NOT equal to 72, thus we have proven that negative 72 times negative 88 is not equal to -6336. The answer must therefore be 6336:

-72 x -88 = 6336


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 72 times negative 88 will always have a positive answer.

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What is negative 72 times negative 89?
Here is the next problem on our list that we have explained and calculated.


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