What is negative 29 times negative 5?




29 times 5 is 145, but what is the answer if both 29 and 5 are negative numbers? Here we will determine if the answer to negative 29 times negative 5 is positive 145 or negative 145.

There are many different ways to explain and determine if the answer to negative 29 times negative 5 is -145 or +145 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 -145 is the correct answer using basic algebra.

We will test if -145 is correct by setting up the equation negative 29 times negative 5 equals negative 145, and then simplifying the equation to see if it is true.

(-29) (-5) = (-145)

Divide both sides of the equation by (-5) :

   
(-29) (-5)
 
   
(-5)
 =
   
(-145)
 
   
(-5)

The numerator and denominator on the left side both have (-5) which even each other out and can be removed:

  (-29) =
   
(-145)
 
   
(-5)

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

  (-29) =
   
(145)
 
   
(5)

A numerator of 145 and denominator of 5 on the right side is the same as 145 divided by 5 which is 29. Now we end up with this untrue equation:

(-29) = (29)

-29 is NOT equal to 29, thus we have proven that negative 29 times negative 5 is not equal to -145. The answer must therefore be 145:

-29 x -5 = 145


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 29 times negative 5 will always have a positive answer.

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

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