Rational Numbers

Q.

The number $0.\overline{35}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$, is __________.

1. $\frac{14}{9}$

2. $\frac{35}{99}$

3. $\frac{14}{13}$

4. $\frac{14}{15}$

Q.

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$?

1. $\frac{2}{3}$

2. $\frac{1}{6}$

3. $\frac{1}{2}$

4. $\frac{7}{24}$

Q.

Which of the following fractions is a terminating decimal?

1. $\frac{1}{6}$

2. $\frac{1}{3}$

3. $\frac{1}{5}$

4. $\frac{1}{7}$

Q.

If $x=0.\overline{18}$, which of the following statements are true?

(i) $100x=18.\overline{18}$
(ii) $100x-x=17.\overline{18}$
(iii) $99x=18$

1. (i) only

2. (i) and (iii)

3. (i) and (ii)

4. (ii) only

Q.

Which of the following statements is incorrect?

1. zero is a natural number

2. 6.5 is an integer

3. All of these

4. -1 is a whole number

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{6}{20}$
2. $\frac{5}{25}$
3. $\frac{5}{16}$
4. $\frac{6}{18}$

Q.

Which of the following is a rational number?

1. ∏

2. √2

3. 6/0

4. 4.8

Q.

A number '$x$' was found to be represented in the simplest $\frac{p}{q}$ form. The decimal expansion of this number was found to be 5.3333333333..... .The value of $p-q$ is ___

Q.

How do we represent $0.123\overline{456}$?

1. $\frac{3333}{99000}$

2. $\frac{41111}{999000}$

3. $\frac{12333}{99000}$

4. $\frac{41111}{333000}$

Q.

Which of the following is a rational number?

1. $\sqrt{2}$

2. 4.8

3. $\pi$

4. $\frac{2}{0}$