69 times 29 is 2001, but what is the answer if both 69 and 29 are negative numbers? Here we will determine if the answer to negative 69 times negative 29 is positive 2001 or negative 2001.
There are many different ways to explain and determine if the answer to negative 69 times negative 29 is -2001 or +2001 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 -2001 is the correct answer using basic algebra.
We will test if -2001 is correct by setting up the equation negative 69 times negative 29 equals negative 2001, and then simplifying the equation to see if it is true.
(-69) (-29) = (-2001)
Divide both sides of the equation by (-29) :
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| = |
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The numerator and denominator on the left side both have (-29) which even each other out and can be removed:
| (-69) = |
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The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-69) = |
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A numerator of 2001 and denominator of 29 on the right side is the same as 2001 divided by 29 which is 69. Now we end up with this untrue equation:
(-69) = (69)
-69 is NOT equal to 69, thus we have proven that negative 69 times negative 29 is not equal to -2001. The answer must therefore be 2001:
-69 x -29 = 2001
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 69 times negative 29 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 69 times negative 30?
Here is the next problem on our list that we have explained and calculated.
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