What is negative 80 times negative 82? (-80 x -82)

What is negative 80 times negative 82?

80 times 82 is 6560, but what is the answer if both 80 and 82 are negative numbers? Here we will determine if the answer to negative 80 times negative 82 is positive 6560 or negative 6560.

There are many different ways to explain and determine if the answer to negative 80 times negative 82 is -6560 or +6560 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 -6560 is the correct answer using basic algebra.

We will test if -6560 is correct by setting up the equation negative 80 times negative 82 equals negative 6560, and then simplifying the equation to see if it is true.

(-80) (-82) = (-6560)

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

		(-80) (-82)
		(-82)

		(-6560)
		(-82)

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

(-80) =

		(-6560)
		(-82)

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

(-80) =

		(6560)
		(82)

A numerator of 6560 and denominator of 82 on the right side is the same as 6560 divided by 82 which is 80. Now we end up with this untrue equation:

(-80) = (80)

-80 is NOT equal to 80, thus we have proven that negative 80 times negative 82 is not equal to -6560. The answer must therefore be 6560:

-80 x -82 = 6560

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 80 times negative 82 will always have a positive answer.

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

What is negative 80 times negative 83?
Here is the next problem on our list that we have explained and calculated.