What is negative 59 times negative 50? (-59 x -50)

What is negative 59 times negative 50?

59 times 50 is 2950, but what is the answer if both 59 and 50 are negative numbers? Here we will determine if the answer to negative 59 times negative 50 is positive 2950 or negative 2950.

There are many different ways to explain and determine if the answer to negative 59 times negative 50 is -2950 or +2950 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 -2950 is the correct answer using basic algebra.

We will test if -2950 is correct by setting up the equation negative 59 times negative 50 equals negative 2950, and then simplifying the equation to see if it is true.

(-59) (-50) = (-2950)

Divide both sides of the equation by (-50) :

		(-59) (-50)
		(-50)

		(-2950)
		(-50)

The numerator and denominator on the left side both have (-50) which even each other out and can be removed:

(-59) =

		(-2950)
		(-50)

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

(-59) =

		(2950)
		(50)

A numerator of 2950 and denominator of 50 on the right side is the same as 2950 divided by 50 which is 59. Now we end up with this untrue equation:

(-59) = (59)

-59 is NOT equal to 59, thus we have proven that negative 59 times negative 50 is not equal to -2950. The answer must therefore be 2950:

-59 x -50 = 2950

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 59 times negative 50 will always have a positive answer.

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