What is negative 35 times negative 73?




35 times 73 is 2555, but what is the answer if both 35 and 73 are negative numbers? Here we will determine if the answer to negative 35 times negative 73 is positive 2555 or negative 2555.

There are many different ways to explain and determine if the answer to negative 35 times negative 73 is -2555 or +2555 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 -2555 is the correct answer using basic algebra.

We will test if -2555 is correct by setting up the equation negative 35 times negative 73 equals negative 2555, and then simplifying the equation to see if it is true.

(-35) (-73) = (-2555)

Divide both sides of the equation by (-73) :

   
(-35) (-73)
 
   
(-73)
 =
   
(-2555)
 
   
(-73)

The numerator and denominator on the left side both have (-73) which even each other out and can be removed:

  (-35) =
   
(-2555)
 
   
(-73)

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

  (-35) =
   
(2555)
 
   
(73)

A numerator of 2555 and denominator of 73 on the right side is the same as 2555 divided by 73 which is 35. Now we end up with this untrue equation:

(-35) = (35)

-35 is NOT equal to 35, thus we have proven that negative 35 times negative 73 is not equal to -2555. The answer must therefore be 2555:

-35 x -73 = 2555


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 35 times negative 73 will always have a positive answer.

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What is negative 35 times negative 74?
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