Introduction to Rational Numbers

Q. Locate the position of the ball lying on the given number line.

1. $\frac{1}{5}$
2. $\frac{2}{5}$
3. $\frac{3}{5}$
4. $\frac{4}{5}$

Q.

What are non-zero rational numbers?

Q.

Question 10 (iii)

Write the following rational numbers in ascending order:
$\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$

Q.

All the integer are rational numbers. Justify the statement.

Q.

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and-

1. q = 1

2. q = 0

3. q ≠ 0

4. q ≠ 1

Q. The number $-\frac{15}{7}$ on the number line will be represented between

1. 0 and 1
2. -2 and -3
3. 2 and 3
4. -2 and -1

Q.

Write any three rational numbers.

Q. $25$ is both an integer and a rational number.

1. True
2. False

Q.

What are rational numbers? Give examples of five positive and negative rational numbers.

Q.

Which of the following is a rational number that lies between 0 and 1?

1. $\frac{24}{20}$

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

3. $\frac{15}{13}$

4. $\frac{39}{13}$

Q. Is 8.5 a rational number?

Q.

Arrange the following rational number in increasing order $\frac{4}{3}$, $\frac{3}{2}$, $\frac{7}{9}$, $\frac{5}{4}$. [4 MARKS]

Q. Which of the following is/are a rational number?

1. $\mathrm{1.2345...}$
2. $\mathrm{1.20200200...}$
3. $\frac{5}{10}$
4. $\mathrm{1.333...}$

Q. Which of the following is/are equivalent rational numbers with respect to $\frac{3}{2}$?

1. $\frac{12}{10}$
2. $\frac{27}{18}$
3. $\frac{15}{8}$
4. $\frac{39}{26}$

Q.

$\frac{15}{0}$ is a rational number.

1. True
2. False

Q.

Fill in the blanks:

$\frac{1}{10}$ of $1$ hundred equals to ______ tens.

Q. Number of whole numbers between -2 and 6 is

1. 3
2. 2
3. 4
4. 6

Q. P: Every fraction is a rational number
Q: Every rational number is a fraction.

Which of the following is correct?

1. P is true and Q is false
2. P is false and Q is true
3. Both P and Q are true
4. Both P and Q are false.

Q. There is/are _________________ between two given rational numbers.

1. one and only one rational number
2. only ten rational numbers
3. infinitely many rational numbers
4. only two rational numbers

Q. How many natural numbers are there between $\frac{3}{10}$ and $\frac{7}{10}$.

1. 2
2. 3
3. 0
4. 1

Q. The product of two rational numbers is $\frac{42}{35}$ . If one of the number is $\frac{4}{7}$ then find the other rational number.

1. $\frac{2}{5}$
2. $\frac{14}{25}$
3. $\frac{21}{5}$
4. $\frac{21}{10}$

Q.

Convert the Unlike fractions into Like fractions $\frac{5}{6},\frac{3}{2},\frac{7}{10},\frac{1}{3}$.

Q.

In the given fig., locate the position where the ball lies on the number line.

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

2. $\frac{2}{5}$

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

4. $\frac{4}{5}$

Q.

Define Rational Number. [1 MARK]

Q. Arrange the rational numbers $\frac{-7}{10},\frac{5}{-8},\frac{3}{-4}$ in ascending order.

Q.

To divide one rational number by the other rational number, we multiply the rational number by the $\underline{}$ of the other.

Q. Which of the following are rational numbers?

1. $-\frac{5}{7}$
2. $6$
3. $\frac{11}{5}$
4. $\frac{0}{7}$

Q.

Express$\frac{-48}{18}$ as a rational number with a numerator $8$

Q.

Bill wanted to confirm his observation regarding the physical sizes of occupants of the “House of Rational Numbers, Q”. He observed two such occupants – "$\frac{2}{3}$" and "$\frac{3}{5}$"

Bill told himself – "$\frac{3}{5}$" has physically a larger size. Say whether Bill’s inference is True or False.

1. False

2. True

Q. The reciprocal of 0 is ______.

1. undefined
2. infinite
3. 0
4. 1