Rational Numbers on a Number Line

Q.

Represent the numbers on the number line. $-\frac{5}{6}$

Q.

The part of the number line between the points denoted by the numbers $\frac{1}{3}$ and $\frac{1}{2}$ is divided into four equal parts as shown below. The numbers denoted by A, B and C are _______.

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

2. $\frac{3}{8},\frac{5}{12},\frac{11}{24}$

3. $\frac{9}{24},\frac{10}{24},\frac{11}{24}$

4. $\frac{9}{12},\frac{10}{12},\frac{11}{12}$

Q.

Represent the following rational numbers on the number line:

$-\frac{5}{8}$

Q.

What is the rational number denoted by point A in the given number line?

1. $\frac{16}{6}$
2. $\frac{18}{6}$
3. $\frac{16}{7}$
4. $\frac{18}{7}$

Q.

Represent $\frac{1}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2}$ on the number line. [3 MARKS]

Q.

On a number line mark the points $\frac{2}{3},\frac{-8}{3},\frac{7}{3},\frac{-2}{3}and-2.$

Q.

Which among the following number lines is used to represent points A and B where A = $\frac{-3}{2}$ and B = $\frac{1}{2}$ ?

1. 
2. 
3. 
4. 

Q.

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

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

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

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

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

Q. Which of these follow the closure property of rational numbers?

1. $\frac{4}{3}+\frac{1}{2}$
2. $\frac{5}{3}-\frac{1}{2}$
3. $0÷\frac{3}{7}$
4. $\frac{4}{5}-\frac{3}{4}$
5. $\frac{2}{3}\times \frac{1}{4}$
6. $\frac{7}{3}+\frac{3}{4}$
7. $\frac{3}{5}\times \frac{1}{4}$
8. $\frac{1}{5}÷\frac{3}{2}$

Q.

Draw a number line and locate point on them.

$\frac{3}{12},\frac{5}{12},\frac{8}{12},\frac{11}{12}$

Q.

Draw a number line and locate point on them.

(ii)$\frac{2}{9},\frac{4}{9},\frac{5}{9},\frac{9}{9}$

Q. Which of these follow the closure property of rational numbers?

1. $\frac{4}{3}+\frac{1}{2}$
2. $\frac{5}{3}-\frac{1}{2}$
3. $0÷\frac{3}{7}$
4. $\frac{4}{5}-\frac{3}{4}$
5. $\frac{2}{3}\times \frac{1}{4}$
6. $\frac{7}{3}+\frac{3}{4}$
7. $\frac{3}{5}\times \frac{1}{4}$
8. $\frac{1}{5}÷\frac{3}{2}$

Q. Are the rational numbers $\frac{-8}{28}$ and $\frac{32}{-112}$ equivalent? Give reason.

Q.

Order the numbers from least to greatest.

$\frac{9}{5},-2.5,-1.1,-\frac{4}{5},0.8$

Q.

Copy and complete the statement using $<,>,or=.$

$\left|-3.5\right|\boxed{}\left|\frac{17}{5}\right|$

Q.

Fill in the blanks with ‘>’ or ‘<’ so that the statements become true.

$1\_\_\_\_-279$

Q. Represent the following numbers on the number line 7, 7.2, $\frac{-3}{2}$ and $-\frac{12}{5}$.
[2 marks]

Q. In the given image, the rational number that is represented by the red arrow is .

1. $-\frac{2}{5}$
2. $-\frac{3}{5}$
3. $\frac{-7}{5}$

Q. State whether the statements are true (T) or false (F).
All positive rational numbers lie between $0$ and $1000.$

1. True
2. False

Q. We can find _____ rational number(s) between any two rational numbers.

1. zero

2. one and only one

3. infinitely many

4. not more than two

Q. The rational number $\frac{-18}{5}$ lies between

1. $-2$ and $-3$
2. $-4$ and $-5$
3. $-3$ and $-4$
4. $-5$ and $-6$

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. $\frac{4}{5}$