What is negative 5 times negative 88?




5 times 88 is 440, but what is the answer if both 5 and 88 are negative numbers? Here we will determine if the answer to negative 5 times negative 88 is positive 440 or negative 440.

There are many different ways to explain and determine if the answer to negative 5 times negative 88 is -440 or +440 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 -440 is the correct answer using basic algebra.

We will test if -440 is correct by setting up the equation negative 5 times negative 88 equals negative 440, and then simplifying the equation to see if it is true.

(-5) (-88) = (-440)

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

   
(-5) (-88)
 
   
(-88)
 =
   
(-440)
 
   
(-88)

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

  (-5) =
   
(-440)
 
   
(-88)

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

  (-5) =
   
(440)
 
   
(88)

A numerator of 440 and denominator of 88 on the right side is the same as 440 divided by 88 which is 5. Now we end up with this untrue equation:

(-5) = (5)

-5 is NOT equal to 5, thus we have proven that negative 5 times negative 88 is not equal to -440. The answer must therefore be 440:

-5 x -88 = 440


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 5 times negative 88 will always have a positive answer.

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What is negative 5 times negative 89?
Here is the next problem on our list that we have explained and calculated.


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