SOLUTION: Hello, I was wondering if you could help me with this? I really dont know what the answer would be. I need to fill in the blank.
Changing signs in exactly___________ __positions
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Changing signs in exactly___________ __positions
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Question 292612: Hello, I was wondering if you could help me with this? I really dont know what the answer would be. I need to fill in the blank.
Changing signs in exactly______________positions of a fraction will not alter the value of the fraction. Found 3 solutions by Alan3354, richwmiller, Theo:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! If I have the fraction (-1)/2 how many times do i change the signs and still keep the same fraction?
I change to +1/(-2). Is it equal to the original fraction? Yes.
How many times did i change signs?
If I multiply by -1/-1 does it change the fraction?
so i have to change two signs.
You can put this solution on YOUR website! Changing signs in exactly____BOTH__________positions of a fraction will not alter the value of the fraction.
What this means is as follows:
Suppose the fraction is
If I just change the sign in the numerator, then the fraction is which is the same as which is not the same as the original fraction.
If I just change the sign in the denominator, then the fraction is which is the same as which is not the same as the original fraction.
If I change the sign in both the numerator and the denominator, then the fraction is which is the same as the original fraction because a minus divided by a minus gives you a plus.
Here's how that works:
-5 is the same as (-1)*5 and -12 is the same as (-1)*12.
Your fraction of becomes
The (-1) in the numerator and the (-1) in the denominator cancel out and you are left with .
