74 times 59 is 4366, but what is the answer if both 74 and 59 are negative numbers? Here we will determine if the answer to negative 74 times negative 59 is positive 4366 or negative 4366.
There are many different ways to explain and determine if the answer to negative 74 times negative 59 is -4366 or +4366 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 -4366 is the correct answer using basic algebra.
We will test if -4366 is correct by setting up the equation negative 74 times negative 59 equals negative 4366, and then simplifying the equation to see if it is true.
(-74) (-59) = (-4366)
Divide both sides of the equation by (-59) :
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| = |
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The numerator and denominator on the left side both have (-59) which even each other out and can be removed:
| (-74) = |
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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:
| (-74) = |
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A numerator of 4366 and denominator of 59 on the right side is the same as 4366 divided by 59 which is 74. Now we end up with this untrue equation:
(-74) = (74)
-74 is NOT equal to 74, thus we have proven that negative 74 times negative 59 is not equal to -4366. The answer must therefore be 4366:
-74 x -59 = 4366
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 74 times negative 59 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 74 times negative 60?
Here is the next problem on our list that we have explained and calculated.
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