What is negative 18 times negative 37? (-18 x -37)

What is negative 18 times negative 37?

18 times 37 is 666, but what is the answer if both 18 and 37 are negative numbers? Here we will determine if the answer to negative 18 times negative 37 is positive 666 or negative 666.

There are many different ways to explain and determine if the answer to negative 18 times negative 37 is -666 or +666 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 -666 is the correct answer using basic algebra.

We will test if -666 is correct by setting up the equation negative 18 times negative 37 equals negative 666, and then simplifying the equation to see if it is true.

(-18) (-37) = (-666)

Divide both sides of the equation by (-37) :

		(-18) (-37)
		(-37)

		(-666)
		(-37)

The numerator and denominator on the left side both have (-37) which even each other out and can be removed:

(-18) =

		(-666)
		(-37)

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

(-18) =

		(666)
		(37)

A numerator of 666 and denominator of 37 on the right side is the same as 666 divided by 37 which is 18. Now we end up with this untrue equation:

(-18) = (18)

-18 is NOT equal to 18, thus we have proven that negative 18 times negative 37 is not equal to -666. The answer must therefore be 666:

-18 x -37 = 666

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 18 times negative 37 will always have a positive answer.

Negative Times Negative Calculator
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