What is negative 80 times negative 78? (-80 x -78)

What is negative 80 times negative 78?

80 times 78 is 6240, but what is the answer if both 80 and 78 are negative numbers? Here we will determine if the answer to negative 80 times negative 78 is positive 6240 or negative 6240.

There are many different ways to explain and determine if the answer to negative 80 times negative 78 is -6240 or +6240 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 -6240 is the correct answer using basic algebra.

We will test if -6240 is correct by setting up the equation negative 80 times negative 78 equals negative 6240, and then simplifying the equation to see if it is true.

(-80) (-78) = (-6240)

Divide both sides of the equation by (-78) :

		(-80) (-78)
		(-78)

		(-6240)
		(-78)

The numerator and denominator on the left side both have (-78) which even each other out and can be removed:

(-80) =

		(-6240)
		(-78)

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

(-80) =

		(6240)
		(78)

A numerator of 6240 and denominator of 78 on the right side is the same as 6240 divided by 78 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 78 is not equal to -6240. The answer must therefore be 6240:

-80 x -78 = 6240

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 80 times negative 78 will always have a positive answer.

Negative Times Negative Calculator
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