46 times 69 is 3174, but what is the answer if both 46 and 69 are negative numbers? Here we will determine if the answer to negative 46 times negative 69 is positive 3174 or negative 3174.
There are many different ways to explain and determine if the answer to negative 46 times negative 69 is -3174 or +3174 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 -3174 is the correct answer using basic algebra.
We will test if -3174 is correct by setting up the equation negative 46 times negative 69 equals negative 3174, and then simplifying the equation to see if it is true.
(-46) (-69) = (-3174)
Divide both sides of the equation by (-69) :
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| = |
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The numerator and denominator on the left side both have (-69) which even each other out and can be removed:
| (-46) = |
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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:
| (-46) = |
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A numerator of 3174 and denominator of 69 on the right side is the same as 3174 divided by 69 which is 46. Now we end up with this untrue equation:
(-46) = (46)
-46 is NOT equal to 46, thus we have proven that negative 46 times negative 69 is not equal to -3174. The answer must therefore be 3174:
-46 x -69 = 3174
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 46 times negative 69 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 46 times negative 70?
Here is the next problem on our list that we have explained and calculated.
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