What is negative 99 times negative 82? (-99 x -82)

What is negative 99 times negative 82?

99 times 82 is 8118, but what is the answer if both 99 and 82 are negative numbers? Here we will determine if the answer to negative 99 times negative 82 is positive 8118 or negative 8118.

There are many different ways to explain and determine if the answer to negative 99 times negative 82 is -8118 or +8118 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 -8118 is the correct answer using basic algebra.

We will test if -8118 is correct by setting up the equation negative 99 times negative 82 equals negative 8118, and then simplifying the equation to see if it is true.

(-99) (-82) = (-8118)

Divide both sides of the equation by (-82) :

		(-99) (-82)
		(-82)

		(-8118)
		(-82)

The numerator and denominator on the left side both have (-82) which even each other out and can be removed:

(-99) =

		(-8118)
		(-82)

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

(-99) =

		(8118)
		(82)

A numerator of 8118 and denominator of 82 on the right side is the same as 8118 divided by 82 which is 99. Now we end up with this untrue equation:

(-99) = (99)

-99 is NOT equal to 99, thus we have proven that negative 99 times negative 82 is not equal to -8118. The answer must therefore be 8118:

-99 x -82 = 8118

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 99 times negative 82 will always have a positive answer.

Negative Times Negative Calculator
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