11 times 64 is 704, but what is the answer if both 11 and 64 are negative numbers? Here we will determine if the answer to negative 11 times negative 64 is positive 704 or negative 704.
There are many different ways to explain and determine if the answer to negative 11 times negative 64 is -704 or +704 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 -704 is the correct answer using basic algebra.
We will test if -704 is correct by setting up the equation negative 11 times negative 64 equals negative 704, and then simplifying the equation to see if it is true.
(-11) (-64) = (-704)
Divide both sides of the equation by (-64) :
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| = |
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The numerator and denominator on the left side both have (-64) which even each other out and can be removed:
| (-11) = |
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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:
| (-11) = |
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A numerator of 704 and denominator of 64 on the right side is the same as 704 divided by 64 which is 11. Now we end up with this untrue equation:
(-11) = (11)
-11 is NOT equal to 11, thus we have proven that negative 11 times negative 64 is not equal to -704. The answer must therefore be 704:
-11 x -64 = 704
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 11 times negative 64 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 11 times negative 65?
Here is the next problem on our list that we have explained and calculated.
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