69 times 74 is 5106, but what is the answer if both 69 and 74 are negative numbers? Here we will determine if the answer to negative 69 times negative 74 is positive 5106 or negative 5106.
There are many different ways to explain and determine if the answer to negative 69 times negative 74 is -5106 or +5106 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 -5106 is the correct answer using basic algebra.
We will test if -5106 is correct by setting up the equation negative 69 times negative 74 equals negative 5106, and then simplifying the equation to see if it is true.
(-69) (-74) = (-5106)
Divide both sides of the equation by (-74) :
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| = |
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The numerator and denominator on the left side both have (-74) which even each other out and can be removed:
| (-69) = |
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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:
| (-69) = |
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A numerator of 5106 and denominator of 74 on the right side is the same as 5106 divided by 74 which is 69. Now we end up with this untrue equation:
(-69) = (69)
-69 is NOT equal to 69, thus we have proven that negative 69 times negative 74 is not equal to -5106. The answer must therefore be 5106:
-69 x -74 = 5106
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 69 times negative 74 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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Here is the next problem on our list that we have explained and calculated.
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