What is negative 5 times negative 87?




5 times 87 is 435, but what is the answer if both 5 and 87 are negative numbers? Here we will determine if the answer to negative 5 times negative 87 is positive 435 or negative 435.

There are many different ways to explain and determine if the answer to negative 5 times negative 87 is -435 or +435 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 -435 is the correct answer using basic algebra.

We will test if -435 is correct by setting up the equation negative 5 times negative 87 equals negative 435, and then simplifying the equation to see if it is true.

(-5) (-87) = (-435)

Divide both sides of the equation by (-87) :

   
(-5) (-87)
 
   
(-87)
 =
   
(-435)
 
   
(-87)

The numerator and denominator on the left side both have (-87) which even each other out and can be removed:

  (-5) =
   
(-435)
 
   
(-87)

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

  (-5) =
   
(435)
 
   
(87)

A numerator of 435 and denominator of 87 on the right side is the same as 435 divided by 87 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 87 is not equal to -435. The answer must therefore be 435:

-5 x -87 = 435


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 5 times negative 87 will always have a positive answer.

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What is negative 5 times negative 88?
Here is the next problem on our list that we have explained and calculated.


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