What is negative 67 times negative 43? (-67 x -43)

What is negative 67 times negative 43?

67 times 43 is 2881, but what is the answer if both 67 and 43 are negative numbers? Here we will determine if the answer to negative 67 times negative 43 is positive 2881 or negative 2881.

There are many different ways to explain and determine if the answer to negative 67 times negative 43 is -2881 or +2881 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 -2881 is the correct answer using basic algebra.

We will test if -2881 is correct by setting up the equation negative 67 times negative 43 equals negative 2881, and then simplifying the equation to see if it is true.

(-67) (-43) = (-2881)

Divide both sides of the equation by (-43) :

		(-67) (-43)
		(-43)

		(-2881)
		(-43)

The numerator and denominator on the left side both have (-43) which even each other out and can be removed:

(-67) =

		(-2881)
		(-43)

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

(-67) =

		(2881)
		(43)

A numerator of 2881 and denominator of 43 on the right side is the same as 2881 divided by 43 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 43 is not equal to -2881. The answer must therefore be 2881:

-67 x -43 = 2881

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 67 times negative 43 will always have a positive answer.

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