What is negative 59 times negative 4?




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

There are many different ways to explain and determine if the answer to negative 59 times negative 4 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 59 times negative 4 equals negative 236, and then simplifying the equation to see if it is true.

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

Divide both sides of the equation by (-4) :

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

The numerator and denominator on the left side both have (-4) which even each other out and can be removed:

  (-59) =
   
(-236)
 
   
(-4)

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

  (-59) =
   
(236)
 
   
(4)

A numerator of 236 and denominator of 4 on the right side is the same as 236 divided by 4 which is 59. Now we end up with this untrue equation:

(-59) = (59)

-59 is NOT equal to 59, thus we have proven that negative 59 times negative 4 is not equal to -236. The answer must therefore be 236:

-59 x -4 = 236


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

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

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What is negative 59 times negative 5?
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