26 times 6 is 156, but what is the answer if both 26 and 6 are negative numbers? Here we will determine if the answer to negative 26 times negative 6 is positive 156 or negative 156.
There are many different ways to explain and determine if the answer to negative 26 times negative 6 is -156 or +156 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 -156 is the correct answer using basic algebra.
We will test if -156 is correct by setting up the equation negative 26 times negative 6 equals negative 156, and then simplifying the equation to see if it is true.
(-26) (-6) = (-156)
Divide both sides of the equation by (-6) :
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| = |
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The numerator and denominator on the left side both have (-6) which even each other out and can be removed:
| (-26) = |
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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:
| (-26) = |
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A numerator of 156 and denominator of 6 on the right side is the same as 156 divided by 6 which is 26. Now we end up with this untrue equation:
(-26) = (26)
-26 is NOT equal to 26, thus we have proven that negative 26 times negative 6 is not equal to -156. The answer must therefore be 156:
-26 x -6 = 156
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 26 times negative 6 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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