10 times 43 is 430, but what is the answer if both 10 and 43 are negative numbers? Here we will determine if the answer to negative 10 times negative 43 is positive 430 or negative 430.
There are many different ways to explain and determine if the answer to negative 10 times negative 43 is -430 or +430 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 -430 is the correct answer using basic algebra.
We will test if -430 is correct by setting up the equation negative 10 times negative 43 equals negative 430, and then simplifying the equation to see if it is true.
(-10) (-43) = (-430)
Divide both sides of the equation by (-43) :
|
| = |
|
The numerator and denominator on the left side both have (-43) which even each other out and can be removed:
| (-10) = |
|
The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-10) = |
|
A numerator of 430 and denominator of 43 on the right side is the same as 430 divided by 43 which is 10. Now we end up with this untrue equation:
(-10) = (10)
-10 is NOT equal to 10, thus we have proven that negative 10 times negative 43 is not equal to -430. The answer must therefore be 430:
-10 x -43 = 430
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 10 times negative 43 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 10 times negative 44?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact