Rational Numbers on a Number Line

Q.

(i) For any integer a, what is (− 1) × a equal to?

(ii) Determine the integer whose product with (− 1) is

(a) − 22 (b) 37 (c) 0

Q.

Question 2 (i)

Write four more rational numbers in the following patterns:
$\frac{-3}{5},\frac{-6}{10},\frac{-9}{15},\frac{-12}{20}\cdots \cdots$

Q.

Find the greatest rational number among the given options.

1. $-\frac{7}{18}$

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

3. $-\frac{5}{12}$

4. $-\frac{4}{9}$

Q.

Question 4 (iii)

Draw the number line and represent the following rational number on it:
$\frac{-7}{4}$

Q. For each of the following statements, write (T) for true and (F) for false:

(i) The smallest integer is zero.
(ii) − 10 is greater than − 7
(iii) Zero is larger than every negative integer.
(iv) The sum of two negative integers is a negative integer.
(v) The sum of a negative integer and a positive integer is always a positive integer.

Q. Which of the following number lines correctly shows the rational number $\frac{9}{7}÷\frac{24}{14}$?

1. 
2. 
3. 
4. 

Q.

Question 62

State whether the given statement is True or False.

The rational number $\frac{-3}{4}$ lies to the right of zero on the number line.

Q.

$\frac{4}{13}>0$. True or False?

1. True

2. False

Q.

Question 5
The points P, Q R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S

Q. How to find rational number between two fraction

Q.

Write the rational number represented by the points A, B, and C. [3 marks]

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

Q.

Which of the rational fractions given in the options lie between $\frac{3}{7}$ and $\frac{4}{8}$ ?

1. 9/2

2. -11/8

3. -2

4. 5/8

Q. The rational number lying between $\frac{5}{6}$ and $\frac{6}{7}$ is :

1. $\frac{15}{21}$
2. $\frac{1}{2}$
3. $\frac{35}{42}$
4. $\frac{71}{84}$

Q.

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

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

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

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

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

Q.

Question 17

Fill in the blanks to make the statement true.

On a number line, $\frac{-1}{2}$ is to the ___ of zero .

Q. Which of the following is the correct representation of $–\frac{6}{8}$ on the number line?

1. 
2. 
3. 
4. 

Q. Complete the following expression using the symbols given.
$\frac{-1}{2}-------\frac{1}{-2}$

1. =
2. None of the above
3. >
4. <

Q.

Represent $\frac{3}{8}$on the number line.

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

Q.

$\frac{-4}{3}\ge \frac{24}{36}$

1. True

2. False

Q. Rational numbers that lie between 0 and 1 satisfy which of the following condition?

1. numerator > denominator
2. numerator < denominator
3. numerator = denominator
4. does not depend on numerator and denominator

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.

The points $P,Q,R,S,T,U,A$ and $B$ on the number line are such that, $TR=RS=SU$ and $AP=PQ=QB$. Name the rational numbers represented by $P,Q,R$ and $S$.

[4 marks]
[NCERT - Ex:9.1, Q5]
[Rational numbers on number line]

Q.

$\frac{4}{13}>0$. True or False?

1. True

2. False

Q. State, whether the following statements are true or false.
If $a<b$ and $c>0$, then $a-c<b-c$ where $a,b,c$ are real numbers and $c\ne 0$.

1. True
2. False

Q.

Find the greatest rational number among the given options.

1. 5/-12

2. -4/9

3. 7/-18

4. 2/-3

Q.

Where does $\frac{-14}{5}$ lie on the number line?
(A) Between $-3$ and $-4$
(B) Between $-2$ and $-3$
(C) Between $2$ and $3$
(D) Between $3$ and $4$

Q. Which of the following is true?

1. 0 is a positive integer.
2. 0 is a negative integer.
3. 0 is neither a positive nor a negative integer.
4. 0 is a positive as well as a negative integer.

Q. Which of the following is true?

1. 0 is a positive integer.
2. 0 is a positive as well as a negative integer.
3. 0 is neither a positive nor a negative integer.
4. 0 is a negative integer.