Which statement best describes why $\pi$ is considered an irrational number?

Its decimal form is infinite and non-repeating.

Square Roots of Non-square Integers Practice — Grade 4 amc_math

1. From the set $\{-8, 0, 1.95286\ldots, \frac{12}{5}, \sqrt{36}, 9\}$, identify the irrational number.
- A. $1.95286\ldots$
- B. $\frac{12}{5}$
- C. $\sqrt{36}$
- D. $-8$
2. Which of the following numbers is an irrational number?
- A. $\sqrt{81}$
- B. $\frac{9}{4}$
- C. $\sqrt{11}$
- D. $5.75$
3. The number $8.454454445...$ continues in this pattern without repeating. This number is an example of an ___ number.
4. Which statement best describes why $\pi$ is considered an irrational number?
- A. It is a ratio of two integers.
- B. Its decimal form terminates.
- C. Its decimal form is infinite and non-repeating.
- D. It is a negative number.
5. From the set $\{ \sqrt{100}, -4, \frac{3}{5}, \sqrt{5} \}$, the irrational number is ___.
6. Is the number $0.121212...$, where the digits 12 repeat forever, an irrational number?
- A. Yes
- B. No
7. Which of the following lists contains all the integers between $\sqrt{5}$ and $\sqrt{35}$?
- A. 2, 3, 4
- B. 3, 4, 5
- C. 3, 4, 5, 6
- D. 2, 3, 4, 5
8. How many integers are there between $\sqrt{20}$ and $\sqrt{60}$? ___
9. What is the only integer that lies between $\sqrt{70}$ and $\sqrt{90}$? ___
10. How many integers are there between $\sqrt{50}$ and $\sqrt{63}$?
- A. 0
- B. 1
- C. 2
- D. 7