71 times 67 is 4757, but what is the answer if both 71 and 67 are negative numbers? Here we will determine if the answer to negative 71 times negative 67 is positive 4757 or negative 4757.
There are many different ways to explain and determine if the answer to negative 71 times negative 67 is -4757 or +4757 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 -4757 is the correct answer using basic algebra.
We will test if -4757 is correct by setting up the equation negative 71 times negative 67 equals negative 4757, and then simplifying the equation to see if it is true.
(-71) (-67) = (-4757)
Divide both sides of the equation by (-67) :
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| = |
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The numerator and denominator on the left side both have (-67) which even each other out and can be removed:
| (-71) = |
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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:
| (-71) = |
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A numerator of 4757 and denominator of 67 on the right side is the same as 4757 divided by 67 which is 71. Now we end up with this untrue equation:
(-71) = (71)
-71 is NOT equal to 71, thus we have proven that negative 71 times negative 67 is not equal to -4757. The answer must therefore be 4757:
-71 x -67 = 4757
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 71 times negative 67 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 71 times negative 68?
Here is the next problem on our list that we have explained and calculated.
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