What is negative 1 times negative 68?




1 times 68 is 68, but what is the answer if both 1 and 68 are negative numbers? Here we will determine if the answer to negative 1 times negative 68 is positive 68 or negative 68.

There are many different ways to explain and determine if the answer to negative 1 times negative 68 is -68 or +68 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 -68 is the correct answer using basic algebra.

We will test if -68 is correct by setting up the equation negative 1 times negative 68 equals negative 68, and then simplifying the equation to see if it is true.

(-1) (-68) = (-68)

Divide both sides of the equation by (-68) :

   
(-1) (-68)
 
   
(-68)
 =
   
(-68)
 
   
(-68)

The numerator and denominator on the left side both have (-68) which even each other out and can be removed:

  (-1) =
   
(-68)
 
   
(-68)

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

  (-1) =
   
(68)
 
   
(68)

A numerator of 68 and denominator of 68 on the right side is the same as 68 divided by 68 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 68 is not equal to -68. The answer must therefore be 68:

-1 x -68 = 68


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 1 times negative 68 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 1 times negative 69?
Here is the next problem on our list that we have explained and calculated.


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