61 times 1 is 61, but what is the answer if both 61 and 1 are negative numbers? Here we will determine if the answer to negative 61 times negative 1 is positive 61 or negative 61.
There are many different ways to explain and determine if the answer to negative 61 times negative 1 is -61 or +61 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 -61 is the correct answer using basic algebra.
We will test if -61 is correct by setting up the equation negative 61 times negative 1 equals negative 61, and then simplifying the equation to see if it is true.
(-61) (-1) = (-61)
Divide both sides of the equation by (-1) :
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| = |
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The numerator and denominator on the left side both have (-1) which even each other out and can be removed:
| (-61) = |
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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:
| (-61) = |
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A numerator of 61 and denominator of 1 on the right side is the same as 61 divided by 1 which is 61. Now we end up with this untrue equation:
(-61) = (61)
-61 is NOT equal to 61, thus we have proven that negative 61 times negative 1 is not equal to -61. The answer must therefore be 61:
-61 x -1 = 61
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 61 times negative 1 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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