What is negative 7 times negative 43?




7 times 43 is 301, but what is the answer if both 7 and 43 are negative numbers? Here we will determine if the answer to negative 7 times negative 43 is positive 301 or negative 301.

There are many different ways to explain and determine if the answer to negative 7 times negative 43 is -301 or +301 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 -301 is the correct answer using basic algebra.

We will test if -301 is correct by setting up the equation negative 7 times negative 43 equals negative 301, and then simplifying the equation to see if it is true.

(-7) (-43) = (-301)

Divide both sides of the equation by (-43) :

   
(-7) (-43)
 
   
(-43)
 =
   
(-301)
 
   
(-43)

The numerator and denominator on the left side both have (-43) which even each other out and can be removed:

  (-7) =
   
(-301)
 
   
(-43)

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

  (-7) =
   
(301)
 
   
(43)

A numerator of 301 and denominator of 43 on the right side is the same as 301 divided by 43 which is 7. Now we end up with this untrue equation:

(-7) = (7)

-7 is NOT equal to 7, thus we have proven that negative 7 times negative 43 is not equal to -301. The answer must therefore be 301:

-7 x -43 = 301


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 7 times negative 43 will always have a positive answer.

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What is negative 7 times negative 44?
Here is the next problem on our list that we have explained and calculated.


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