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

Its decimal form is infinite and non-repeating.

Identifying Irrational Numbers Practice — Grade 8 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 numbers is an irrational number?
- A. $\sqrt{4}$
- B. $\sqrt{16}$
- C. $\sqrt{20}$
- D. $\sqrt{64}$
8. Which statement best explains why $\sqrt{30}$ is an irrational number?
- A. Because 30 is not a perfect square.
- B. Because 30 is an even number.
- C. Because its decimal form terminates.
- D. Because it is a whole number.
9. The number 49 is a perfect square, so $\sqrt{49}$ is rational. Give an integer between 50 and 60 whose square root is irrational. ___
10. Which of these numbers is a rational number?
- A. $\sqrt{10}$
- B. $\sqrt{24}$
- C. $\sqrt{81}$
- D. $\sqrt{99}$