What is negative 54 times negative 5?




54 times 5 is 270, but what is the answer if both 54 and 5 are negative numbers? Here we will determine if the answer to negative 54 times negative 5 is positive 270 or negative 270.

There are many different ways to explain and determine if the answer to negative 54 times negative 5 is -270 or +270 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 -270 is the correct answer using basic algebra.

We will test if -270 is correct by setting up the equation negative 54 times negative 5 equals negative 270, and then simplifying the equation to see if it is true.

(-54) (-5) = (-270)

Divide both sides of the equation by (-5) :

   
(-54) (-5)
 
   
(-5)
 =
   
(-270)
 
   
(-5)

The numerator and denominator on the left side both have (-5) which even each other out and can be removed:

  (-54) =
   
(-270)
 
   
(-5)

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

  (-54) =
   
(270)
 
   
(5)

A numerator of 270 and denominator of 5 on the right side is the same as 270 divided by 5 which is 54. Now we end up with this untrue equation:

(-54) = (54)

-54 is NOT equal to 54, thus we have proven that negative 54 times negative 5 is not equal to -270. The answer must therefore be 270:

-54 x -5 = 270


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 54 times negative 5 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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