45 times 63 is 2835, but what is the answer if both 45 and 63 are negative numbers? Here we will determine if the answer to negative 45 times negative 63 is positive 2835 or negative 2835.
There are many different ways to explain and determine if the answer to negative 45 times negative 63 is -2835 or +2835 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 -2835 is the correct answer using basic algebra.
We will test if -2835 is correct by setting up the equation negative 45 times negative 63 equals negative 2835, and then simplifying the equation to see if it is true.
(-45) (-63) = (-2835)
Divide both sides of the equation by (-63) :
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| = |
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The numerator and denominator on the left side both have (-63) 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 2835 and denominator of 63 on the right side is the same as 2835 divided by 63 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 63 is not equal to -2835. The answer must therefore be 2835:
-45 x -63 = 2835
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 45 times negative 63 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 64?
Here is the next problem on our list that we have explained and calculated.
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