What is negative 9 times negative 50? (-9 x -50)

What is negative 9 times negative 50?

9 times 50 is 450, but what is the answer if both 9 and 50 are negative numbers? Here we will determine if the answer to negative 9 times negative 50 is positive 450 or negative 450.

There are many different ways to explain and determine if the answer to negative 9 times negative 50 is -450 or +450 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 -450 is the correct answer using basic algebra.

We will test if -450 is correct by setting up the equation negative 9 times negative 50 equals negative 450, and then simplifying the equation to see if it is true.

(-9) (-50) = (-450)

Divide both sides of the equation by (-50) :

		(-9) (-50)
		(-50)

		(-450)
		(-50)

The numerator and denominator on the left side both have (-50) which even each other out and can be removed:

(-9) =

		(-450)
		(-50)

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

(-9) =

		(450)
		(50)

A numerator of 450 and denominator of 50 on the right side is the same as 450 divided by 50 which is 9. Now we end up with this untrue equation:

(-9) = (9)

-9 is NOT equal to 9, thus we have proven that negative 9 times negative 50 is not equal to -450. The answer must therefore be 450:

-9 x -50 = 450

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 50 will always have a positive answer.

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

What is negative 9 times negative 51?
Here is the next problem on our list that we have explained and calculated.