16 times 4 is 64, but what is the answer if both 16 and 4 are negative numbers? Here we will determine if the answer to negative 16 times negative 4 is positive 64 or negative 64.
There are many different ways to explain and determine if the answer to negative 16 times negative 4 is -64 or +64 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 -64 is the correct answer using basic algebra.
We will test if -64 is correct by setting up the equation negative 16 times negative 4 equals negative 64, and then simplifying the equation to see if it is true.
(-16) (-4) = (-64)
Divide both sides of the equation by (-4) :
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| = |
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The numerator and denominator on the left side both have (-4) which even each other out and can be removed:
| (-16) = |
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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:
| (-16) = |
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A numerator of 64 and denominator of 4 on the right side is the same as 64 divided by 4 which is 16. Now we end up with this untrue equation:
(-16) = (16)
-16 is NOT equal to 16, thus we have proven that negative 16 times negative 4 is not equal to -64. The answer must therefore be 64:
-16 x -4 = 64
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 16 times negative 4 will always have a positive answer.
Negative Times Negative Calculator
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