19 times 64 is 1216, but what is the answer if both 19 and 64 are negative numbers? Here we will determine if the answer to negative 19 times negative 64 is positive 1216 or negative 1216.
There are many different ways to explain and determine if the answer to negative 19 times negative 64 is -1216 or +1216 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 -1216 is the correct answer using basic algebra.
We will test if -1216 is correct by setting up the equation negative 19 times negative 64 equals negative 1216, and then simplifying the equation to see if it is true.
(-19) (-64) = (-1216)
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:
| (-19) = |
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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:
| (-19) = |
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A numerator of 1216 and denominator of 64 on the right side is the same as 1216 divided by 64 which is 19. Now we end up with this untrue equation:
(-19) = (19)
-19 is NOT equal to 19, thus we have proven that negative 19 times negative 64 is not equal to -1216. The answer must therefore be 1216:
-19 x -64 = 1216
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 19 times negative 64 will always have a positive answer.
Negative Times Negative Calculator
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What is negative 19 times negative 65?
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