29 times 14 is 406, but what is the answer if both 29 and 14 are negative numbers? Here we will determine if the answer to negative 29 times negative 14 is positive 406 or negative 406.
There are many different ways to explain and determine if the answer to negative 29 times negative 14 is -406 or +406 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 -406 is the correct answer using basic algebra.
We will test if -406 is correct by setting up the equation negative 29 times negative 14 equals negative 406, and then simplifying the equation to see if it is true.
(-29) (-14) = (-406)
Divide both sides of the equation by (-14) :
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| = |
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The numerator and denominator on the left side both have (-14) which even each other out and can be removed:
| (-29) = |
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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:
| (-29) = |
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A numerator of 406 and denominator of 14 on the right side is the same as 406 divided by 14 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 14 is not equal to -406. The answer must therefore be 406:
-29 x -14 = 406
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 29 times negative 14 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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