45 times 93 is 4185, but what is the answer if both 45 and 93 are negative numbers? Here we will determine if the answer to negative 45 times negative 93 is positive 4185 or negative 4185.
There are many different ways to explain and determine if the answer to negative 45 times negative 93 is -4185 or +4185 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 -4185 is the correct answer using basic algebra.
We will test if -4185 is correct by setting up the equation negative 45 times negative 93 equals negative 4185, and then simplifying the equation to see if it is true.
(-45) (-93) = (-4185)
Divide both sides of the equation by (-93) :
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| = |
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The numerator and denominator on the left side both have (-93) which even each other out and can be removed:
| (-45) = |
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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:
| (-45) = |
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A numerator of 4185 and denominator of 93 on the right side is the same as 4185 divided by 93 which is 45. Now we end up with this untrue equation:
(-45) = (45)
-45 is NOT equal to 45, thus we have proven that negative 45 times negative 93 is not equal to -4185. The answer must therefore be 4185:
-45 x -93 = 4185
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 45 times negative 93 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 45 times negative 94?
Here is the next problem on our list that we have explained and calculated.
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