What is negative 4 times negative 59?




4 times 59 is 236, but what is the answer if both 4 and 59 are negative numbers? Here we will determine if the answer to negative 4 times negative 59 is positive 236 or negative 236.

There are many different ways to explain and determine if the answer to negative 4 times negative 59 is -236 or +236 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 -236 is the correct answer using basic algebra.

We will test if -236 is correct by setting up the equation negative 4 times negative 59 equals negative 236, and then simplifying the equation to see if it is true.

(-4) (-59) = (-236)

Divide both sides of the equation by (-59) :

   
(-4) (-59)
 
   
(-59)
 =
   
(-236)
 
   
(-59)

The numerator and denominator on the left side both have (-59) which even each other out and can be removed:

  (-4) =
   
(-236)
 
   
(-59)

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

  (-4) =
   
(236)
 
   
(59)

A numerator of 236 and denominator of 59 on the right side is the same as 236 divided by 59 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 59 is not equal to -236. The answer must therefore be 236:

-4 x -59 = 236


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 59 will always have a positive answer.

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What is negative 4 times negative 60?
Here is the next problem on our list that we have explained and calculated.


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