Example: Let x = .99, y = , and z = (.2. Then which of the following is ... ...

Let x = .99, y = Image, and z = (.99)2. Then which of the following is true?


(A)    x < z < y


(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Introduction to Nova GRE Math

 
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Posted: 03/25/2012 13:11
Could you explain this question?
Arcadia
Admin
 
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Posted: 03/26/2012 01:18
Meghan, in this type of question, you don't actually need to calculate the square root or square of .99. You only need to remember that .99 is a fraction. When we square a fraction, we get a smaller number as a result. When we take the root of a fraction, we get a larger number as a result. For example, the square of 1/4 or .25 is 1/16 or .0625 which is smaller; and the square root of 1/4 is 1/2 or .5, which is larger. Keep that in mind and apply the principle to solving the question.
 
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Posted: 09/27/2012 22:10
I don't understand this. Whenever I square .99 I get .9801 and when I take the square root of .99 I get .9949 which is clearly bigger then x and z.
Arcadia
Admin
 
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Posted: 09/27/2012 22:19
Vinay, that's exactly what the correct answer says.
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Posted: 02/13/2014 05:05
can you explain it ,professor ?
Arcadia
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Posted: 02/13/2014 09:59
Knight Seven, this is already explained in the discussion thread. Please read one of the explanations.
 
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Posted: 02/20/2013 22:46
Could you explain this please?
Arcadia
Admin
 
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Posted: 02/27/2013 16:40
It was previously explained, and I will repost:

In this type of question, you don't actually need to calculate the square root or square of .99. Recognize that .99 is a fraction. When we square a fraction, we get a smaller number as a result. On the other hand, when we take the root of a fraction, we get a larger number. For example, the square of 1/4 or .25 is 1/16 or .0625 which is smaller; and the square root of 1/4 is 1/2 or .5, which is larger. Keep that in mind and apply the principle to solving the question.
 
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Posted: 03/01/2013 10:09
So ".99" actually reffering "0.99" is that right?

First for me...

Good to know that.
Arcadia
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Posted: 03/01/2013 18:01
Hi Yoshinori,

Yes, .99 = 0.99.

The 0 in 0.99 is optional. It is just a visual aid so that the reader is more likely to notice the decimal point.

Nova Press
 
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Example: Let x = .99, y = , and z = (.2. Then which of the following is ... ... 
Posted: 07/19/2013 21:25
Good to know that!, thanks!
 
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Example: Let x = .99, y = , and z = (.2. Then which of the following is ... ... 
Posted: 08/29/2013 05:33
isn't x > z, however? it seems the answer should be: y > x > z, but this is not an option.
 
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Example: Let x = .99, y = , and z = (.2. Then which of the following is ... ... 
Posted: 08/29/2013 05:34
nevermind...i finally see that C is the same as my solution!
 
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Example: Let x = .99, y = , and z = (.2. Then which of the following is ... ... 
Posted: 09/01/2013 19:23
If x wasn't a fraction, and was for example 2, then the order would be opposite correct? Just want to make sure my line of thinking wasn't completely off base.
Arcadia
Admin
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Posted: 10/07/2013 17:57
Shanna, yes.