What is negative 9 times negative 37? (-9 x -37)

What is negative 9 times negative 37?

9 times 37 is 333, but what is the answer if both 9 and 37 are negative numbers? Here we will determine if the answer to negative 9 times negative 37 is positive 333 or negative 333.

There are many different ways to explain and determine if the answer to negative 9 times negative 37 is -333 or +333 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 -333 is the correct answer using basic algebra.

We will test if -333 is correct by setting up the equation negative 9 times negative 37 equals negative 333, and then simplifying the equation to see if it is true.

(-9) (-37) = (-333)

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

		(-9) (-37)
		(-37)

		(-333)
		(-37)

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

(-9) =

		(-333)
		(-37)

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

(-9) =

		(333)
		(37)

A numerator of 333 and denominator of 37 on the right side is the same as 333 divided by 37 which is 9. Now we end up with this untrue equation:

(-9) = (9)

-9 is NOT equal to 9, thus we have proven that negative 9 times negative 37 is not equal to -333. The answer must therefore be 333:

-9 x -37 = 333

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 37 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

What is negative 9 times negative 38?
Here is the next problem on our list that we have explained and calculated.