What is negative 4 times negative 87?




4 times 87 is 348, but what is the answer if both 4 and 87 are negative numbers? Here we will determine if the answer to negative 4 times negative 87 is positive 348 or negative 348.

There are many different ways to explain and determine if the answer to negative 4 times negative 87 is -348 or +348 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 -348 is the correct answer using basic algebra.

We will test if -348 is correct by setting up the equation negative 4 times negative 87 equals negative 348, and then simplifying the equation to see if it is true.

(-4) (-87) = (-348)

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

   
(-4) (-87)
 
   
(-87)
 =
   
(-348)
 
   
(-87)

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

  (-4) =
   
(-348)
 
   
(-87)

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

  (-4) =
   
(348)
 
   
(87)

A numerator of 348 and denominator of 87 on the right side is the same as 348 divided by 87 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 87 is not equal to -348. The answer must therefore be 348:

-4 x -87 = 348


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 87 will always have a positive answer.

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What is negative 4 times negative 88?
Here is the next problem on our list that we have explained and calculated.


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