What is negative 8 times negative 55?




8 times 55 is 440, but what is the answer if both 8 and 55 are negative numbers? Here we will determine if the answer to negative 8 times negative 55 is positive 440 or negative 440.

There are many different ways to explain and determine if the answer to negative 8 times negative 55 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 8 times negative 55 equals negative 440, and then simplifying the equation to see if it is true.

(-8) (-55) = (-440)

Divide both sides of the equation by (-55) :

   
(-8) (-55)
 
   
(-55)
 =
   
(-440)
 
   
(-55)

The numerator and denominator on the left side both have (-55) which even each other out and can be removed:

  (-8) =
   
(-440)
 
   
(-55)

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

  (-8) =
   
(440)
 
   
(55)

A numerator of 440 and denominator of 55 on the right side is the same as 440 divided by 55 which is 8. Now we end up with this untrue equation:

(-8) = (8)

-8 is NOT equal to 8, thus we have proven that negative 8 times negative 55 is not equal to -440. The answer must therefore be 440:

-8 x -55 = 440


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 8 times negative 55 will always have a positive answer.

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What is negative 8 times negative 56?
Here is the next problem on our list that we have explained and calculated.


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