Discussion
Let x = .99, y = 
, and z = (.99)2. Then which of the following is true?
*This question is included in Introduction to Nova GRE Math, question #9
, and z = (.99)2. Then which of the following is true?
| (A) | x < z < y |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 03/25/2012 13:11
Could you explain this question?
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.
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.
Posted: 09/27/2012 22:19
Vinay, that's exactly what the correct answer says.
Posted: 02/13/2014 05:05
can you explain it ,professor ?
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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Edit
Posted: 02/20/2013 22:46
Could you explain this please?
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.
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.
Posted: 03/01/2013 10:09
So ".99" actually reffering "0.99" is that right?
First for me...
Good to know that.
First for me...
Good to know that.
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
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
Posted: 07/19/2013 21:25
Good to know that!, thanks!
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.
Posted: 08/29/2013 05:34
nevermind...i finally see that C is the same as my solution!
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.
Posted: 10/07/2013 17:57
Shanna, yes.