What is negative 1 times negative 76?




1 times 76 is 76, but what is the answer if both 1 and 76 are negative numbers? Here we will determine if the answer to negative 1 times negative 76 is positive 76 or negative 76.

There are many different ways to explain and determine if the answer to negative 1 times negative 76 is -76 or +76 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 -76 is the correct answer using basic algebra.

We will test if -76 is correct by setting up the equation negative 1 times negative 76 equals negative 76, and then simplifying the equation to see if it is true.

(-1) (-76) = (-76)

Divide both sides of the equation by (-76) :

   
(-1) (-76)
 
   
(-76)
 =
   
(-76)
 
   
(-76)

The numerator and denominator on the left side both have (-76) which even each other out and can be removed:

  (-1) =
   
(-76)
 
   
(-76)

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

  (-1) =
   
(76)
 
   
(76)

A numerator of 76 and denominator of 76 on the right side is the same as 76 divided by 76 which is 1. Now we end up with this untrue equation:

(-1) = (1)

-1 is NOT equal to 1, thus we have proven that negative 1 times negative 76 is not equal to -76. The answer must therefore be 76:

-1 x -76 = 76


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 1 times negative 76 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 1 times negative 77?
Here is the next problem on our list that we have explained and calculated.


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