What is negative 4 times negative 61?




4 times 61 is 244, but what is the answer if both 4 and 61 are negative numbers? Here we will determine if the answer to negative 4 times negative 61 is positive 244 or negative 244.

There are many different ways to explain and determine if the answer to negative 4 times negative 61 is -244 or +244 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 -244 is the correct answer using basic algebra.

We will test if -244 is correct by setting up the equation negative 4 times negative 61 equals negative 244, and then simplifying the equation to see if it is true.

(-4) (-61) = (-244)

Divide both sides of the equation by (-61) :

   
(-4) (-61)
 
   
(-61)
 =
   
(-244)
 
   
(-61)

The numerator and denominator on the left side both have (-61) which even each other out and can be removed:

  (-4) =
   
(-244)
 
   
(-61)

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

  (-4) =
   
(244)
 
   
(61)

A numerator of 244 and denominator of 61 on the right side is the same as 244 divided by 61 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 61 is not equal to -244. The answer must therefore be 244:

-4 x -61 = 244


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 61 will always have a positive answer.

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What is negative 4 times negative 62?
Here is the next problem on our list that we have explained and calculated.


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