What is negative 1 times negative 70?




1 times 70 is 70, but what is the answer if both 1 and 70 are negative numbers? Here we will determine if the answer to negative 1 times negative 70 is positive 70 or negative 70.

There are many different ways to explain and determine if the answer to negative 1 times negative 70 is -70 or +70 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 -70 is the correct answer using basic algebra.

We will test if -70 is correct by setting up the equation negative 1 times negative 70 equals negative 70, and then simplifying the equation to see if it is true.

(-1) (-70) = (-70)

Divide both sides of the equation by (-70) :

   
(-1) (-70)
 
   
(-70)
 =
   
(-70)
 
   
(-70)

The numerator and denominator on the left side both have (-70) which even each other out and can be removed:

  (-1) =
   
(-70)
 
   
(-70)

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

  (-1) =
   
(70)
 
   
(70)

A numerator of 70 and denominator of 70 on the right side is the same as 70 divided by 70 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 70 is not equal to -70. The answer must therefore be 70:

-1 x -70 = 70


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 1 times negative 70 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 71?
Here is the next problem on our list that we have explained and calculated.


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