What is negative 4 times negative 60?




4 times 60 is 240, but what is the answer if both 4 and 60 are negative numbers? Here we will determine if the answer to negative 4 times negative 60 is positive 240 or negative 240.

There are many different ways to explain and determine if the answer to negative 4 times negative 60 is -240 or +240 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 -240 is the correct answer using basic algebra.

We will test if -240 is correct by setting up the equation negative 4 times negative 60 equals negative 240, and then simplifying the equation to see if it is true.

(-4) (-60) = (-240)

Divide both sides of the equation by (-60) :

   
(-4) (-60)
 
   
(-60)
 =
   
(-240)
 
   
(-60)

The numerator and denominator on the left side both have (-60) which even each other out and can be removed:

  (-4) =
   
(-240)
 
   
(-60)

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

  (-4) =
   
(240)
 
   
(60)

A numerator of 240 and denominator of 60 on the right side is the same as 240 divided by 60 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 60 is not equal to -240. The answer must therefore be 240:

-4 x -60 = 240


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 60 will always have a positive answer.

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What is negative 4 times negative 61?
Here is the next problem on our list that we have explained and calculated.


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