What is negative 85 times negative 7?




85 times 7 is 595, but what is the answer if both 85 and 7 are negative numbers? Here we will determine if the answer to negative 85 times negative 7 is positive 595 or negative 595.

There are many different ways to explain and determine if the answer to negative 85 times negative 7 is -595 or +595 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 -595 is the correct answer using basic algebra.

We will test if -595 is correct by setting up the equation negative 85 times negative 7 equals negative 595, and then simplifying the equation to see if it is true.

(-85) (-7) = (-595)

Divide both sides of the equation by (-7) :

   
(-85) (-7)
 
   
(-7)
 =
   
(-595)
 
   
(-7)

The numerator and denominator on the left side both have (-7) which even each other out and can be removed:

  (-85) =
   
(-595)
 
   
(-7)

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

  (-85) =
   
(595)
 
   
(7)

A numerator of 595 and denominator of 7 on the right side is the same as 595 divided by 7 which is 85. Now we end up with this untrue equation:

(-85) = (85)

-85 is NOT equal to 85, thus we have proven that negative 85 times negative 7 is not equal to -595. The answer must therefore be 595:

-85 x -7 = 595


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 85 times negative 7 will always have a positive answer.

Negative Times Negative Calculator
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