If r = 0.345, s = (0.345)2, and t = 0.345 , which of
the following is the correct ordering of r, s, and t ?
(A) r < s < t
(B) r < t < s
(C) s < t < r
(D) s < r < t
(E) t < r < s
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OG 12 Problem - Please help
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rjanardhanan
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Ignore the number given. We can plug in any fraction between 0 and 1.sachin_yadav wrote:If r = 0.345, s = (0.345)², and t = √0.345 , which of the following is the correct ordering of r, s, and t ?
A. r < s < t
B. r < t < s
C. s < t < r
D. s < r < t
E. t < r < s
Let r = 1/4, s = (1/4)² = 1/16, and t = √(1/4) = 1/2.
The smallest value is s = 1/16, the largest value is t = 1/2.
The correct answer is D.
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ankush123251
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Fractions that are between 0 and 1 behave like this:
If you square a fraction the value decreases.
Thus,
1/2 * 1/2 = 1/4.
Thus,
s<r.Thus options A,B,E eliminated.
Further if you take the square root,the value of the fraction increases.
Thus option D.
If you square a fraction the value decreases.
Thus,
1/2 * 1/2 = 1/4.
Thus,
s<r.Thus options A,B,E eliminated.
Further if you take the square root,the value of the fraction increases.
Thus option D.
