What is negative 88 times negative 45?




88 times 45 is 3960, but what is the answer if both 88 and 45 are negative numbers? Here we will determine if the answer to negative 88 times negative 45 is positive 3960 or negative 3960.

There are many different ways to explain and determine if the answer to negative 88 times negative 45 is -3960 or +3960 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 -3960 is the correct answer using basic algebra.

We will test if -3960 is correct by setting up the equation negative 88 times negative 45 equals negative 3960, and then simplifying the equation to see if it is true.

(-88) (-45) = (-3960)

Divide both sides of the equation by (-45) :

   
(-88) (-45)
 
   
(-45)
 =
   
(-3960)
 
   
(-45)

The numerator and denominator on the left side both have (-45) which even each other out and can be removed:

  (-88) =
   
(-3960)
 
   
(-45)

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

  (-88) =
   
(3960)
 
   
(45)

A numerator of 3960 and denominator of 45 on the right side is the same as 3960 divided by 45 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 45 is not equal to -3960. The answer must therefore be 3960:

-88 x -45 = 3960


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 88 times negative 45 will always have a positive answer.

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What is negative 88 times negative 46?
Here is the next problem on our list that we have explained and calculated.


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