GRE Math : How to divide negative numbers
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Example Questions
Example Question #5 : Negative Numbers
Find the value of 
To solve for 
Example Question #1 : How To Divide Negative Numbers
What is 
45
A negative number divided by a negative number always results in a positive number. 
Example Question #1 : How To Divide Negative Numbers
Solve for 
Begin by isolating your variable.
Subtract 
Next, subtract 
Then, divide both sides by 
Recall that division of a negative by a negative gives you a positive, therefore:
Example Question #1 : Negative Numbers
Solve for 
To solve this equation, you need to isolate the variable on one side. We can accomplish this by dividing by 
Anytime you divide, if the signs are the same (i.e. two positive, or two negative), you'll get a positive result. If the signs are opposites (i.e. one positive, one negative) then you get a negative.
Both of the numbers here are negative, so we will have a positive result:
Example Question #9 : Negative Numbers
Solve for 
To solve, you need to isolate the variable. We first subtract 
When dividing, if the signs of the numbers are the same (i.e. both positive, or both negative), you yield a positive result. If the signs of the numbers are opposites (i.e. one of each), then you yield a negative result.
Therefore:
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