29 times 58 is 1682, but what is the answer if both 29 and 58 are negative numbers? Here we will determine if the answer to negative 29 times negative 58 is positive 1682 or negative 1682.
There are many different ways to explain and determine if the answer to negative 29 times negative 58 is -1682 or +1682 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 -1682 is the correct answer using basic algebra.
We will test if -1682 is correct by setting up the equation negative 29 times negative 58 equals negative 1682, and then simplifying the equation to see if it is true.
(-29) (-58) = (-1682)
Divide both sides of the equation by (-58) :
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| = |
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The numerator and denominator on the left side both have (-58) 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 1682 and denominator of 58 on the right side is the same as 1682 divided by 58 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 58 is not equal to -1682. The answer must therefore be 1682:
-29 x -58 = 1682
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 29 times negative 58 will always have a positive answer.
Negative Times Negative Calculator
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What is negative 29 times negative 59?
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