What is negative 59 times negative 9?




59 times 9 is 531, but what is the answer if both 59 and 9 are negative numbers? Here we will determine if the answer to negative 59 times negative 9 is positive 531 or negative 531.

There are many different ways to explain and determine if the answer to negative 59 times negative 9 is -531 or +531 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 -531 is the correct answer using basic algebra.

We will test if -531 is correct by setting up the equation negative 59 times negative 9 equals negative 531, and then simplifying the equation to see if it is true.

(-59) (-9) = (-531)

Divide both sides of the equation by (-9) :

   
(-59) (-9)
 
   
(-9)
 =
   
(-531)
 
   
(-9)

The numerator and denominator on the left side both have (-9) which even each other out and can be removed:

  (-59) =
   
(-531)
 
   
(-9)

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

  (-59) =
   
(531)
 
   
(9)

A numerator of 531 and denominator of 9 on the right side is the same as 531 divided by 9 which is 59. Now we end up with this untrue equation:

(-59) = (59)

-59 is NOT equal to 59, thus we have proven that negative 59 times negative 9 is not equal to -531. The answer must therefore be 531:

-59 x -9 = 531


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 59 times negative 9 will always have a positive answer.

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What is negative 59 times negative 10?
Here is the next problem on our list that we have explained and calculated.


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