Inserting Rational Numbers Between Two Rational Numbers

Q.

Between two given rational numbers, we can find

1. one and only one rational number

2. only two rational numbers

3. only ten rational numbers

4. infinitely many rational numbers

Q.

Find the leftmost and the rightmost number when the following numbers are represented on the number line.

$\frac{-19}{10},\frac{-9}{5}\frac{-8}{5}\frac{-3}{2}\frac{-17}{10}$

1. $\frac{-19}{10}$, $\frac{-3}{2}$

2. $\frac{-19}{10}$, $\frac{-9}{5}$

3. $\frac{-3}{2}$, $\frac{-17}{10}$

4. $\frac{-9}{5}$, $\frac{-17}{10}$

Q. Find a rational number between $\frac{3}{7}$ and $\frac{2}{3}$.

1. 1
2. 2
3. $\frac{11}{21}$
4. $\frac{9}{21}$

Q.

Which of the following rational numbers lie between 0 and 1?

1. 39/13

2. 24/20

3. 13/14

4. 13/13

Q. The given numbers lie between

1. 1 and 2
2. 2 and 3
3. 3 and 4
4. 4 and 5

Q. Which of the following represents a set of $4$ rational numbers between $\frac{1}{2}$ and $\frac{1}{3}?$

1. $\frac{1}{30}$, $\frac{11}{30}$, $\frac{10}{30}$, $\frac{12}{30}$
2. $\frac{11}{30}$, $\frac{12}{30}$, $\frac{13}{30}$, $\frac{14}{30}$
3. $\frac{11}{30}$, $\frac{22}{30}$, $\frac{33}{30}$, $\frac{40}{30}$
4. $\frac{1}{30}$, $\frac{2}{30}$, $\frac{3}{30}$, $\frac{4}{30}$

Q. Given the following rational numbers, choose the ones that lie between 1 and 3.

1. $\frac{3}{2}$
2. $\frac{4}{2}$
3. $\frac{7}{2}$
4. $\frac{11}{2}$

Q. Which of these is a rational number between 2 and 3: [3 MARKS]
$\frac{18}{27},\frac{7}{3},\frac{10}{3},\frac{5}{2}$

Q.

Which of the following is a rational number between $\frac{1}{6}$ and $\frac{1}{4}$

1. $0$
2. $\frac{5}{24}$
3. $\frac{24}{5}$
4. $\frac{25}{5}$

Q. Which of the following rational numbers lie between 1 and 2?

1. $\frac{3}{10}$
2. $\frac{15}{10}$
3. $\frac{9}{10}$
4. $\frac{10}{10}$

Q.

Which of the following numbers lie
$\text{between}\frac{3}{4}\text{and}\frac{7}{4}?$

1. 5.0

2. 3.0

3. 2.5

4. 1.25

Q. Given the following rational numbers, choose the ones that lie between 1 and 3

1. $\frac{3}{2}$
2. 2
3. $\frac{7}{2}$
4. $\frac{11}{2}$

Q.

Arrange the following rational numbers in the ascending order
$\frac{5}{4},\frac{2}{3},\frac{6}{8},\frac{8}{5},\frac{9}{2}.$

1. $\frac{2}{3}<\frac{6}{8}<\frac{5}{4}<\frac{8}{5}<\frac{9}{2}$

2. $\frac{5}{4}<\frac{6}{8}<\frac{2}{3}<\frac{8}{5}<\frac{9}{2}$

3. $\frac{9}{2}<\frac{8}{5}<\frac{5}{4}<\frac{6}{8}$ < $\frac{2}{3}$

4. $\frac{9}{2}<\frac{2}{3}<\frac{5}{4}<\frac{8}{5}<\frac{6}{8}$

Q.

Which of the following represents a set of $4$ rational numbers between $\frac{1}{2}$ and $\frac{1}{3}?$

1. $\frac{11}{30}$, $\frac{22}{30}$, $\frac{33}{30}$, $\frac{40}{30}$

2. $\frac{11}{30}$, $\frac{12}{30}$, $\frac{13}{30}$, $\frac{14}{30}$

3. $\frac{1}{30}$, $\frac{2}{30}$, $\frac{3}{30}$, $\frac{4}{30}$

4. $\frac{1}{30}$, $\frac{11}{30}$, $\frac{10}{30}$, $\frac{12}{30}$

Q.

Between any two numbers, there can be an infinite number of ___________.

1. natural numbers

2. whole numbers

3. integers

4. rational numbers

Q.

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

1. 0

2. 1

3. 2

4. 3

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

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

Q. The average of 5 and 8 is _____.

1. 6
2. 7
3. 6.5
4. 5.6

Q.

Between any two given rational numbers, there are infinite rational numbers.

1. False

2. True

Q.

The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is ________.

1. 
2. 
3. 
4. 

Q.

Which of the following lies between $\frac{25}{4}$ and $\frac{22}{3}?$

1. $\frac{13}{2}$
2. $\frac{15}{2}$
3. $\frac{17}{2}$
4. $8$

Q.

Which of the following is a rational number between $\frac{1}{3}$ and $\frac{5}{3}$ ?

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

2. $\frac{5}{3}$
3. $\frac{6}{3}$

4. $\frac{7}{3}$