What is negative 88 times negative 4?




88 times 4 is 352, but what is the answer if both 88 and 4 are negative numbers? Here we will determine if the answer to negative 88 times negative 4 is positive 352 or negative 352.

There are many different ways to explain and determine if the answer to negative 88 times negative 4 is -352 or +352 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 -352 is the correct answer using basic algebra.

We will test if -352 is correct by setting up the equation negative 88 times negative 4 equals negative 352, and then simplifying the equation to see if it is true.

(-88) (-4) = (-352)

Divide both sides of the equation by (-4) :

   
(-88) (-4)
 
   
(-4)
 =
   
(-352)
 
   
(-4)

The numerator and denominator on the left side both have (-4) which even each other out and can be removed:

  (-88) =
   
(-352)
 
   
(-4)

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

  (-88) =
   
(352)
 
   
(4)

A numerator of 352 and denominator of 4 on the right side is the same as 352 divided by 4 which is 88. Now we end up with this untrue equation:

(-88) = (88)

-88 is NOT equal to 88, thus we have proven that negative 88 times negative 4 is not equal to -352. The answer must therefore be 352:

-88 x -4 = 352


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 88 times negative 4 will always have a positive answer.

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