What is negative 8 times negative 99? (-8 x -99)

What is negative 8 times negative 99?

8 times 99 is 792, but what is the answer if both 8 and 99 are negative numbers? Here we will determine if the answer to negative 8 times negative 99 is positive 792 or negative 792.

There are many different ways to explain and determine if the answer to negative 8 times negative 99 is -792 or +792 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 -792 is the correct answer using basic algebra.

We will test if -792 is correct by setting up the equation negative 8 times negative 99 equals negative 792, and then simplifying the equation to see if it is true.

(-8) (-99) = (-792)

Divide both sides of the equation by (-99) :

		(-8) (-99)
		(-99)

		(-792)
		(-99)

The numerator and denominator on the left side both have (-99) which even each other out and can be removed:

(-8) =

		(-792)
		(-99)

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

(-8) =

		(792)
		(99)

A numerator of 792 and denominator of 99 on the right side is the same as 792 divided by 99 which is 8. Now we end up with this untrue equation:

(-8) = (8)

-8 is NOT equal to 8, thus we have proven that negative 8 times negative 99 is not equal to -792. The answer must therefore be 792:

-8 x -99 = 792

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 8 times negative 99 will always have a positive answer.

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