80 times 45 is 3600, but what is the answer if both 80 and 45 are negative numbers? Here we will determine if the answer to negative 80 times negative 45 is positive 3600 or negative 3600.
There are many different ways to explain and determine if the answer to negative 80 times negative 45 is -3600 or +3600 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 -3600 is the correct answer using basic algebra.
We will test if -3600 is correct by setting up the equation negative 80 times negative 45 equals negative 3600, and then simplifying the equation to see if it is true.
(-80) (-45) = (-3600)
Divide both sides of the equation by (-45) :
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| = |
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The numerator and denominator on the left side both have (-45) which even each other out and can be removed:
| (-80) = |
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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:
| (-80) = |
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A numerator of 3600 and denominator of 45 on the right side is the same as 3600 divided by 45 which is 80. Now we end up with this untrue equation:
(-80) = (80)
-80 is NOT equal to 80, thus we have proven that negative 80 times negative 45 is not equal to -3600. The answer must therefore be 3600:
-80 x -45 = 3600
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 80 times negative 45 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 80 times negative 46?
Here is the next problem on our list that we have explained and calculated.
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