## KNicksfan4life Group Title 32. If 0 < n < 1, which of the following gives the correct ordering of n,n,and n2? (A) n < n < n2 (D)n<n2 < n (B) n < n2 < n (C) n < n < n2 (E) n2 <n< n one year ago one year ago

1. KNicksfan4life Group Title

look at question 32

2. satellite73 Group Title

here is a trick if you get confused since you are not given numbers, clearly it doesn't matter what they are. so pick one, find the answer, and it will be right no matter what

3. KNicksfan4life Group Title

i dont get it

4. satellite73 Group Title

i pick $$n=\frac{1}{4}$$ so $$n^2=\left(\frac{1}{4}\right)^2=\frac{1}{16}$$ and $$\sqrt{n}=\sqrt{\frac{1}{4}}=\frac{1}{2}$$

5. satellite73 Group Title

now we order them, and whatever answer we get will be the right one this is a good trick to know for standardized tests

6. satellite73 Group Title

i get $\frac{1}{16}<\frac{1}{4}<\frac{1}{2}$ so $n^2<n<\sqrt{n}$ must be correct

7. satellite73 Group Title

btw i picked $$\frac{1}{4}$$ because it was easy to take the square root

8. KNicksfan4life Group Title

so it's E

9. satellite73 Group Title

i didn't look at the answers

10. KNicksfan4life Group Title

ok