amyhussein wrote:Hello
How can i do the problem below in a faster way/shortcut:
Organize the following numbers from lowest to biggest:
-√5/5 , -√7/7 , -5/√5 , -7/√7 , -1
To organize the values in the correct order, we need to determine their RELATIVE distances from 0.
Since all of the values are negative, the GREATER the distance from 0, the SMALLER the value.
To determine the relative distances, square all of the values and retain the negative signs:
-√5/5 --> -(√5/5)² = -1/5
-√7/7 --> -(√7/7)² = -1/7
-5/√5 --> -(5/√5)² = -5
-7/√7 --> -(7/√7)² = -7
-1 --> -(1²) = -1
The least value = the value furthest from 0 = -7/√7.
The greatest value = the value closest to 0 = -√7/7.
From least to greatest:
-7/√7, -5/√5, -1, -√5/5, -√7/7.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
