What is negative 84 times negative 29?




84 times 29 is 2436, but what is the answer if both 84 and 29 are negative numbers? Here we will determine if the answer to negative 84 times negative 29 is positive 2436 or negative 2436.

There are many different ways to explain and determine if the answer to negative 84 times negative 29 is -2436 or +2436 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 -2436 is the correct answer using basic algebra.

We will test if -2436 is correct by setting up the equation negative 84 times negative 29 equals negative 2436, and then simplifying the equation to see if it is true.

(-84) (-29) = (-2436)

Divide both sides of the equation by (-29) :

   
(-84) (-29)
 
   
(-29)
 =
   
(-2436)
 
   
(-29)

The numerator and denominator on the left side both have (-29) which even each other out and can be removed:

  (-84) =
   
(-2436)
 
   
(-29)

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

  (-84) =
   
(2436)
 
   
(29)

A numerator of 2436 and denominator of 29 on the right side is the same as 2436 divided by 29 which is 84. Now we end up with this untrue equation:

(-84) = (84)

-84 is NOT equal to 84, thus we have proven that negative 84 times negative 29 is not equal to -2436. The answer must therefore be 2436:

-84 x -29 = 2436


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 84 times negative 29 will always have a positive answer.

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What is negative 84 times negative 30?
Here is the next problem on our list that we have explained and calculated.


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