What is negative 29 times negative 59? (-29 x -59)

What is negative 29 times negative 59?

29 times 59 is 1711, but what is the answer if both 29 and 59 are negative numbers? Here we will determine if the answer to negative 29 times negative 59 is positive 1711 or negative 1711.

There are many different ways to explain and determine if the answer to negative 29 times negative 59 is -1711 or +1711 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 -1711 is the correct answer using basic algebra.

We will test if -1711 is correct by setting up the equation negative 29 times negative 59 equals negative 1711, and then simplifying the equation to see if it is true.

(-29) (-59) = (-1711)

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

		(-29) (-59)
		(-59)

		(-1711)
		(-59)

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

(-29) =

		(-1711)
		(-59)

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

(-29) =

		(1711)
		(59)

A numerator of 1711 and denominator of 59 on the right side is the same as 1711 divided by 59 which is 29. Now we end up with this untrue equation:

(-29) = (29)

-29 is NOT equal to 29, thus we have proven that negative 29 times negative 59 is not equal to -1711. The answer must therefore be 1711:

-29 x -59 = 1711

The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 29 times negative 59 will always have a positive answer.

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