What is negative 5 times negative 89?




5 times 89 is 445, but what is the answer if both 5 and 89 are negative numbers? Here we will determine if the answer to negative 5 times negative 89 is positive 445 or negative 445.

There are many different ways to explain and determine if the answer to negative 5 times negative 89 is -445 or +445 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 -445 is the correct answer using basic algebra.

We will test if -445 is correct by setting up the equation negative 5 times negative 89 equals negative 445, and then simplifying the equation to see if it is true.

(-5) (-89) = (-445)

Divide both sides of the equation by (-89) :

   
(-5) (-89)
 
   
(-89)
 =
   
(-445)
 
   
(-89)

The numerator and denominator on the left side both have (-89) which even each other out and can be removed:

  (-5) =
   
(-445)
 
   
(-89)

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

  (-5) =
   
(445)
 
   
(89)

A numerator of 445 and denominator of 89 on the right side is the same as 445 divided by 89 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 89 is not equal to -445. The answer must therefore be 445:

-5 x -89 = 445


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 5 times negative 89 will always have a positive answer.

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What is negative 5 times negative 90?
Here is the next problem on our list that we have explained and calculated.


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