What is negative 65 times negative 59? (-65 x -59)

What is negative 65 times negative 59?

65 times 59 is 3835, but what is the answer if both 65 and 59 are negative numbers? Here we will determine if the answer to negative 65 times negative 59 is positive 3835 or negative 3835.

There are many different ways to explain and determine if the answer to negative 65 times negative 59 is -3835 or +3835 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 -3835 is the correct answer using basic algebra.

We will test if -3835 is correct by setting up the equation negative 65 times negative 59 equals negative 3835, and then simplifying the equation to see if it is true.

(-65) (-59) = (-3835)

Divide both sides of the equation by (-59) :

		(-65) (-59)
		(-59)

		(-3835)
		(-59)

The numerator and denominator on the left side both have (-59) which even each other out and can be removed:

(-65) =

		(-3835)
		(-59)

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

(-65) =

		(3835)
		(59)

A numerator of 3835 and denominator of 59 on the right side is the same as 3835 divided by 59 which is 65. Now we end up with this untrue equation:

(-65) = (65)

-65 is NOT equal to 65, thus we have proven that negative 65 times negative 59 is not equal to -3835. The answer must therefore be 3835:

-65 x -59 = 3835

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 65 times negative 59 will always have a positive answer.

Negative Times Negative Calculator
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