What is negative 73 times negative 1?




73 times 1 is 73, but what is the answer if both 73 and 1 are negative numbers? Here we will determine if the answer to negative 73 times negative 1 is positive 73 or negative 73.

There are many different ways to explain and determine if the answer to negative 73 times negative 1 is -73 or +73 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 -73 is the correct answer using basic algebra.

We will test if -73 is correct by setting up the equation negative 73 times negative 1 equals negative 73, and then simplifying the equation to see if it is true.

(-73) (-1) = (-73)

Divide both sides of the equation by (-1) :

   
(-73) (-1)
 
   
(-1)
 =
   
(-73)
 
   
(-1)

The numerator and denominator on the left side both have (-1) which even each other out and can be removed:

  (-73) =
   
(-73)
 
   
(-1)

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

  (-73) =
   
(73)
 
   
(1)

A numerator of 73 and denominator of 1 on the right side is the same as 73 divided by 1 which is 73. Now we end up with this untrue equation:

(-73) = (73)

-73 is NOT equal to 73, thus we have proven that negative 73 times negative 1 is not equal to -73. The answer must therefore be 73:

-73 x -1 = 73


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 73 times negative 1 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 73 times negative 2?
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