What is negative 6 times negative 64? (-6 x -64)

What is negative 6 times negative 64?

6 times 64 is 384, but what is the answer if both 6 and 64 are negative numbers? Here we will determine if the answer to negative 6 times negative 64 is positive 384 or negative 384.

There are many different ways to explain and determine if the answer to negative 6 times negative 64 is -384 or +384 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 -384 is the correct answer using basic algebra.

We will test if -384 is correct by setting up the equation negative 6 times negative 64 equals negative 384, and then simplifying the equation to see if it is true.

(-6) (-64) = (-384)

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

		(-6) (-64)
		(-64)

		(-384)
		(-64)

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

(-6) =

		(-384)
		(-64)

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

(-6) =

		(384)
		(64)

A numerator of 384 and denominator of 64 on the right side is the same as 384 divided by 64 which is 6. Now we end up with this untrue equation:

(-6) = (6)

-6 is NOT equal to 6, thus we have proven that negative 6 times negative 64 is not equal to -384. The answer must therefore be 384:

-6 x -64 = 384

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 64 will always have a positive answer.

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