What is negative 44 times negative 67?




44 times 67 is 2948, but what is the answer if both 44 and 67 are negative numbers? Here we will determine if the answer to negative 44 times negative 67 is positive 2948 or negative 2948.

There are many different ways to explain and determine if the answer to negative 44 times negative 67 is -2948 or +2948 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 -2948 is the correct answer using basic algebra.

We will test if -2948 is correct by setting up the equation negative 44 times negative 67 equals negative 2948, and then simplifying the equation to see if it is true.

(-44) (-67) = (-2948)

Divide both sides of the equation by (-67) :

   
(-44) (-67)
 
   
(-67)
 =
   
(-2948)
 
   
(-67)

The numerator and denominator on the left side both have (-67) which even each other out and can be removed:

  (-44) =
   
(-2948)
 
   
(-67)

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

  (-44) =
   
(2948)
 
   
(67)

A numerator of 2948 and denominator of 67 on the right side is the same as 2948 divided by 67 which is 44. Now we end up with this untrue equation:

(-44) = (44)

-44 is NOT equal to 44, thus we have proven that negative 44 times negative 67 is not equal to -2948. The answer must therefore be 2948:

-44 x -67 = 2948


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 44 times negative 67 will always have a positive answer.

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What is negative 44 times negative 68?
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