What is negative 11 times negative 23? (-11 x -23)

What is negative 11 times negative 23?

11 times 23 is 253, but what is the answer if both 11 and 23 are negative numbers? Here we will determine if the answer to negative 11 times negative 23 is positive 253 or negative 253.

There are many different ways to explain and determine if the answer to negative 11 times negative 23 is -253 or +253 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 -253 is the correct answer using basic algebra.

We will test if -253 is correct by setting up the equation negative 11 times negative 23 equals negative 253, and then simplifying the equation to see if it is true.

(-11) (-23) = (-253)

Divide both sides of the equation by (-23) :

		(-11) (-23)
		(-23)

		(-253)
		(-23)

The numerator and denominator on the left side both have (-23) which even each other out and can be removed:

(-11) =

		(-253)
		(-23)

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

(-11) =

		(253)
		(23)

A numerator of 253 and denominator of 23 on the right side is the same as 253 divided by 23 which is 11. Now we end up with this untrue equation:

(-11) = (11)

-11 is NOT equal to 11, thus we have proven that negative 11 times negative 23 is not equal to -253. The answer must therefore be 253:

-11 x -23 = 253

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 11 times negative 23 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 11 times negative 24?
Here is the next problem on our list that we have explained and calculated.