What is negative 4 times negative 85?




4 times 85 is 340, but what is the answer if both 4 and 85 are negative numbers? Here we will determine if the answer to negative 4 times negative 85 is positive 340 or negative 340.

There are many different ways to explain and determine if the answer to negative 4 times negative 85 is -340 or +340 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 -340 is the correct answer using basic algebra.

We will test if -340 is correct by setting up the equation negative 4 times negative 85 equals negative 340, and then simplifying the equation to see if it is true.

(-4) (-85) = (-340)

Divide both sides of the equation by (-85) :

   
(-4) (-85)
 
   
(-85)
 =
   
(-340)
 
   
(-85)

The numerator and denominator on the left side both have (-85) which even each other out and can be removed:

  (-4) =
   
(-340)
 
   
(-85)

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

  (-4) =
   
(340)
 
   
(85)

A numerator of 340 and denominator of 85 on the right side is the same as 340 divided by 85 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 85 is not equal to -340. The answer must therefore be 340:

-4 x -85 = 340


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 85 will always have a positive answer.

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What is negative 4 times negative 86?
Here is the next problem on our list that we have explained and calculated.


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