64 times 56 is 3584, but what is the answer if both 64 and 56 are negative numbers? Here we will determine if the answer to negative 64 times negative 56 is positive 3584 or negative 3584.
There are many different ways to explain and determine if the answer to negative 64 times negative 56 is -3584 or +3584 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 -3584 is the correct answer using basic algebra.
We will test if -3584 is correct by setting up the equation negative 64 times negative 56 equals negative 3584, and then simplifying the equation to see if it is true.
(-64) (-56) = (-3584)
Divide both sides of the equation by (-56) :
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| = |
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The numerator and denominator on the left side both have (-56) which even each other out and can be removed:
| (-64) = |
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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:
| (-64) = |
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A numerator of 3584 and denominator of 56 on the right side is the same as 3584 divided by 56 which is 64. Now we end up with this untrue equation:
(-64) = (64)
-64 is NOT equal to 64, thus we have proven that negative 64 times negative 56 is not equal to -3584. The answer must therefore be 3584:
-64 x -56 = 3584
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 64 times negative 56 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 64 times negative 57?
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