What is negative 50 times negative 6? (-50 x -6)

What is negative 50 times negative 6?

50 times 6 is 300, but what is the answer if both 50 and 6 are negative numbers? Here we will determine if the answer to negative 50 times negative 6 is positive 300 or negative 300.

There are many different ways to explain and determine if the answer to negative 50 times negative 6 is -300 or +300 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 -300 is the correct answer using basic algebra.

We will test if -300 is correct by setting up the equation negative 50 times negative 6 equals negative 300, and then simplifying the equation to see if it is true.

(-50) (-6) = (-300)

Divide both sides of the equation by (-6) :

		(-50) (-6)
		(-6)

		(-300)
		(-6)

The numerator and denominator on the left side both have (-6) which even each other out and can be removed:

(-50) =

		(-300)
		(-6)

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

(-50) =

		(300)
		(6)

A numerator of 300 and denominator of 6 on the right side is the same as 300 divided by 6 which is 50. Now we end up with this untrue equation:

(-50) = (50)

-50 is NOT equal to 50, thus we have proven that negative 50 times negative 6 is not equal to -300. The answer must therefore be 300:

-50 x -6 = 300

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 50 times negative 6 will always have a positive answer.

Negative Times Negative Calculator
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