What is negative 8 times negative 82? (-8 x -82)

What is negative 8 times negative 82?

8 times 82 is 656, but what is the answer if both 8 and 82 are negative numbers? Here we will determine if the answer to negative 8 times negative 82 is positive 656 or negative 656.

There are many different ways to explain and determine if the answer to negative 8 times negative 82 is -656 or +656 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 -656 is the correct answer using basic algebra.

We will test if -656 is correct by setting up the equation negative 8 times negative 82 equals negative 656, and then simplifying the equation to see if it is true.

(-8) (-82) = (-656)

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

		(-8) (-82)
		(-82)

		(-656)
		(-82)

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

(-8) =

		(-656)
		(-82)

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

(-8) =

		(656)
		(82)

A numerator of 656 and denominator of 82 on the right side is the same as 656 divided by 82 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 82 is not equal to -656. The answer must therefore be 656:

-8 x -82 = 656

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 8 times negative 82 will always have a positive answer.

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