4 times 78 is 312, but what is the answer if both 4 and 78 are negative numbers? Here we will determine if the answer to negative 4 times negative 78 is positive 312 or negative 312.
There are many different ways to explain and determine if the answer to negative 4 times negative 78 is -312 or +312 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 -312 is the correct answer using basic algebra.
We will test if -312 is correct by setting up the equation negative 4 times negative 78 equals negative 312, and then simplifying the equation to see if it is true.
(-4) (-78) = (-312)
Divide both sides of the equation by (-78) :
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| = |
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The numerator and denominator on the left side both have (-78) which even each other out and can be removed:
| (-4) = |
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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:
| (-4) = |
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A numerator of 312 and denominator of 78 on the right side is the same as 312 divided by 78 which is 4. Now we end up with this untrue equation:
(-4) = (4)
-4 is NOT equal to 4, thus we have proven that negative 4 times negative 78 is not equal to -312. The answer must therefore be 312:
-4 x -78 = 312
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 78 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 4 times negative 79?
Here is the next problem on our list that we have explained and calculated.
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