What is negative 53 times negative 64? (-53 x -64)

What is negative 53 times negative 64?

53 times 64 is 3392, but what is the answer if both 53 and 64 are negative numbers? Here we will determine if the answer to negative 53 times negative 64 is positive 3392 or negative 3392.

There are many different ways to explain and determine if the answer to negative 53 times negative 64 is -3392 or +3392 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 -3392 is the correct answer using basic algebra.

We will test if -3392 is correct by setting up the equation negative 53 times negative 64 equals negative 3392, and then simplifying the equation to see if it is true.

(-53) (-64) = (-3392)

Divide both sides of the equation by (-64) :

		(-53) (-64)
		(-64)

		(-3392)
		(-64)

The numerator and denominator on the left side both have (-64) which even each other out and can be removed:

(-53) =

		(-3392)
		(-64)

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

(-53) =

		(3392)
		(64)

A numerator of 3392 and denominator of 64 on the right side is the same as 3392 divided by 64 which is 53. Now we end up with this untrue equation:

(-53) = (53)

-53 is NOT equal to 53, thus we have proven that negative 53 times negative 64 is not equal to -3392. The answer must therefore be 3392:

-53 x -64 = 3392

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 53 times negative 64 will always have a positive answer.

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