What is negative 90 times negative 83? (-90 x -83)

What is negative 90 times negative 83?

90 times 83 is 7470, but what is the answer if both 90 and 83 are negative numbers? Here we will determine if the answer to negative 90 times negative 83 is positive 7470 or negative 7470.

There are many different ways to explain and determine if the answer to negative 90 times negative 83 is -7470 or +7470 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 -7470 is the correct answer using basic algebra.

We will test if -7470 is correct by setting up the equation negative 90 times negative 83 equals negative 7470, and then simplifying the equation to see if it is true.

(-90) (-83) = (-7470)

Divide both sides of the equation by (-83) :

		(-90) (-83)
		(-83)

		(-7470)
		(-83)

The numerator and denominator on the left side both have (-83) which even each other out and can be removed:

(-90) =

		(-7470)
		(-83)

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

(-90) =

		(7470)
		(83)

A numerator of 7470 and denominator of 83 on the right side is the same as 7470 divided by 83 which is 90. Now we end up with this untrue equation:

(-90) = (90)

-90 is NOT equal to 90, thus we have proven that negative 90 times negative 83 is not equal to -7470. The answer must therefore be 7470:

-90 x -83 = 7470

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 90 times negative 83 will always have a positive answer.

Negative Times Negative Calculator
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