What is negative 67 times negative 99? (-67 x -99)

What is negative 67 times negative 99?

67 times 99 is 6633, but what is the answer if both 67 and 99 are negative numbers? Here we will determine if the answer to negative 67 times negative 99 is positive 6633 or negative 6633.

There are many different ways to explain and determine if the answer to negative 67 times negative 99 is -6633 or +6633 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 -6633 is the correct answer using basic algebra.

We will test if -6633 is correct by setting up the equation negative 67 times negative 99 equals negative 6633, and then simplifying the equation to see if it is true.

(-67) (-99) = (-6633)

Divide both sides of the equation by (-99) :

		(-67) (-99)
		(-99)

		(-6633)
		(-99)

The numerator and denominator on the left side both have (-99) which even each other out and can be removed:

(-67) =

		(-6633)
		(-99)

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

(-67) =

		(6633)
		(99)

A numerator of 6633 and denominator of 99 on the right side is the same as 6633 divided by 99 which is 67. Now we end up with this untrue equation:

(-67) = (67)

-67 is NOT equal to 67, thus we have proven that negative 67 times negative 99 is not equal to -6633. The answer must therefore be 6633:

-67 x -99 = 6633

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 67 times negative 99 will always have a positive answer.

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