6 times 57 is 342, but what is the answer if both 6 and 57 are negative numbers? Here we will determine if the answer to negative 6 times negative 57 is positive 342 or negative 342.
There are many different ways to explain and determine if the answer to negative 6 times negative 57 is -342 or +342 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 -342 is the correct answer using basic algebra.
We will test if -342 is correct by setting up the equation negative 6 times negative 57 equals negative 342, and then simplifying the equation to see if it is true.
(-6) (-57) = (-342)
Divide both sides of the equation by (-57) :
|
| = |
|
The numerator and denominator on the left side both have (-57) which even each other out and can be removed:
| (-6) = |
|
The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-6) = |
|
A numerator of 342 and denominator of 57 on the right side is the same as 342 divided by 57 which is 6. Now we end up with this untrue equation:
(-6) = (6)
-6 is NOT equal to 6, thus we have proven that negative 6 times negative 57 is not equal to -342. The answer must therefore be 342:
-6 x -57 = 342
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 57 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 6 times negative 58?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact