What is negative 79 times negative 7?




79 times 7 is 553, but what is the answer if both 79 and 7 are negative numbers? Here we will determine if the answer to negative 79 times negative 7 is positive 553 or negative 553.

There are many different ways to explain and determine if the answer to negative 79 times negative 7 is -553 or +553 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 -553 is the correct answer using basic algebra.

We will test if -553 is correct by setting up the equation negative 79 times negative 7 equals negative 553, and then simplifying the equation to see if it is true.

(-79) (-7) = (-553)

Divide both sides of the equation by (-7) :

   
(-79) (-7)
 
   
(-7)
 =
   
(-553)
 
   
(-7)

The numerator and denominator on the left side both have (-7) which even each other out and can be removed:

  (-79) =
   
(-553)
 
   
(-7)

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

  (-79) =
   
(553)
 
   
(7)

A numerator of 553 and denominator of 7 on the right side is the same as 553 divided by 7 which is 79. Now we end up with this untrue equation:

(-79) = (79)

-79 is NOT equal to 79, thus we have proven that negative 79 times negative 7 is not equal to -553. The answer must therefore be 553:

-79 x -7 = 553


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 79 times negative 7 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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