What is negative 71 times negative 64? (-71 x -64)

What is negative 71 times negative 64?

71 times 64 is 4544, but what is the answer if both 71 and 64 are negative numbers? Here we will determine if the answer to negative 71 times negative 64 is positive 4544 or negative 4544.

There are many different ways to explain and determine if the answer to negative 71 times negative 64 is -4544 or +4544 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 -4544 is the correct answer using basic algebra.

We will test if -4544 is correct by setting up the equation negative 71 times negative 64 equals negative 4544, and then simplifying the equation to see if it is true.

(-71) (-64) = (-4544)

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

		(-71) (-64)
		(-64)

		(-4544)
		(-64)

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

(-71) =

		(-4544)
		(-64)

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

(-71) =

		(4544)
		(64)

A numerator of 4544 and denominator of 64 on the right side is the same as 4544 divided by 64 which is 71. Now we end up with this untrue equation:

(-71) = (71)

-71 is NOT equal to 71, thus we have proven that negative 71 times negative 64 is not equal to -4544. The answer must therefore be 4544:

-71 x -64 = 4544

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 71 times negative 64 will always have a positive answer.

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