Which statement best describes the number $7.12345...$, where the digits continue forever without any repeating pattern?

The number is rational because it is a decimal.

The number is irrational because its decimal is non-terminating and non-repeating.

The number is rational because all decimals are rational.

The number is a terminating decimal.

Decimal Representation of Rational and Irrational Numbers Practice — Grade 8 math

1. Which of the following numbers is an irrational number?
- A. $0.25$
- B. $0.\overline{3}$
- C. $4.121314...$
- D. $6.0$
2. The fraction $\frac{5}{8}$ is a rational number. Its decimal form is $0.625$. Because the decimal ends, it is known as a ___ decimal.
3. Which decimal is equivalent to the rational number written as $0.\overline{15}$?
- A. $0.151515...$
- B. $0.1555...$
- C. $0.15$
- D. $0.115115...$
4. The decimal representation of the rational number $\frac{4}{9}$ is $0.444...$. This type of decimal is called a ___ decimal.
5. Which statement best describes the number $7.12345...$, where the digits continue forever without any repeating pattern?
- A. The number is rational because it is a decimal.
- B. The number is irrational because its decimal is non-terminating and non-repeating.
- C. The number is rational because all decimals are rational.
- D. The number is a terminating decimal.
6. A mechanic says he knows a $\frac{7}{8}$ wrench is bigger than a $\frac{3}{4}$ wrench because 78 is bigger than 34. Is this method of comparing fractions always reliable?
- A. No
- B. Yes
7. Kathy asks for 4 ounces of roast turkey. The scale measures in pounds. Given that 1 pound = 16 ounces, what should the order be in decimal pounds? ___ pounds.
8. Which operation should you use to convert the fraction $\frac{5}{8}$ into its decimal form?
- A. Multiply 5 by 8
- B. Divide 5 by 8
- C. Add 5 and 8
- D. Subtract 5 from 8