What is negative 4 times negative 73?




4 times 73 is 292, but what is the answer if both 4 and 73 are negative numbers? Here we will determine if the answer to negative 4 times negative 73 is positive 292 or negative 292.

There are many different ways to explain and determine if the answer to negative 4 times negative 73 is -292 or +292 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 -292 is the correct answer using basic algebra.

We will test if -292 is correct by setting up the equation negative 4 times negative 73 equals negative 292, and then simplifying the equation to see if it is true.

(-4) (-73) = (-292)

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

   
(-4) (-73)
 
   
(-73)
 =
   
(-292)
 
   
(-73)

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

  (-4) =
   
(-292)
 
   
(-73)

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

  (-4) =
   
(292)
 
   
(73)

A numerator of 292 and denominator of 73 on the right side is the same as 292 divided by 73 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 73 is not equal to -292. The answer must therefore be 292:

-4 x -73 = 292


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 73 will always have a positive answer.

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What is negative 4 times negative 74?
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