What is negative 79 times negative 4?




79 times 4 is 316, but what is the answer if both 79 and 4 are negative numbers? Here we will determine if the answer to negative 79 times negative 4 is positive 316 or negative 316.

There are many different ways to explain and determine if the answer to negative 79 times negative 4 is -316 or +316 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 -316 is the correct answer using basic algebra.

We will test if -316 is correct by setting up the equation negative 79 times negative 4 equals negative 316, and then simplifying the equation to see if it is true.

(-79) (-4) = (-316)

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

   
(-79) (-4)
 
   
(-4)
 =
   
(-316)
 
   
(-4)

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

  (-79) =
   
(-316)
 
   
(-4)

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

  (-79) =
   
(316)
 
   
(4)

A numerator of 316 and denominator of 4 on the right side is the same as 316 divided by 4 which is 79. Now we end up with this untrue equation:

(-79) = (79)

-79 is NOT equal to 79, thus we have proven that negative 79 times negative 4 is not equal to -316. The answer must therefore be 316:

-79 x -4 = 316


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 79 times negative 4 will always have a positive answer.

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What is negative 79 times negative 5?
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