Answer:
B
Explanation:
So we are trying to find the number that is not between
and 3π on the number line. To do this, lets try to find roughly (exactly if possible) that
and 3π are. Lets start with
.
So now, by looking at the number line, we can see that the values must be greater than 2. Now lets find 3π. Lets use 3.14 for π (3.14 is actually smaller than the actual value of π):
3(3.14) = 9.42
So we know that the value must be less than 9.42.
We can rewrite answer choice A as 2.08, with is more than 2 and less than 9.42. Therefore, it is between the two numbers on the number line.
While I do not know the exact value of √0.4, I know that it will be less than 1, making it less than 2. Therefore, it is not between the two numbers on the number line, and therefore is our answer.
Lets go through the other two answer choices though.
For C, while 9.37 is close to 9.42, it is still less than 9.42 and greater than 2, and therefore is between the two numbers on the number line.
For D, √9 can be rewritten as 3, which is between the two numbers on the number line.
Even if you did not know that answer choice B, √0.4, was less than 1, you still would have been able to find that B was the correct answer by the process of elimination.
I hope you find my answer helpful.