Number Line

Q.

Draw the number line and represent the following rational numbers on it:

(i) $\frac{3}{4}$ (ii) $\frac{-5}{8}$ (iii) $\frac{-7}{4}$ (iv) $\frac{7}{8}$

Q.

Which is the largest natural number?

1. 0

2. 9999999

3. 100000000

4. The largest number is undefined.

Q.

Write the absolute value of $11$.

Q.

State whether true or false: Every integer has a predecessor and a successor.

1. False

2. True

Q.

-7 is greater than 5. State whether true or false.

1. True

2. False

Q. Draw the number line and represent the following rational numbers on it:
(i) $\frac{2}{3}$
(ii) $\frac{3}{4}$
(iii) $\frac{3}{8}$
(vi) $\frac{-5}{8}$
(v) $\frac{-3}{16}$
(vi) $\frac{-7}{3}$
(vii) $\frac{22}{-7}$
(viii) $\frac{-31}{3}$

Q.

Fill in the blanks with appropriate numbers:

(1)

(2)

(3)

Q.

Question 10

The value of $5÷(-1)$ does not lie between

(a) 0 and -10
(b) 0 and 10
(c) -4 and -15
(d) -6 and 6

Q.

Predecessor of $-9$ is:

1. -8

2. 10

3. -10

4. 9

Q.

If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

1. 7

2. -7

3. 9

4. 10

Q.

Question 1(a)
Following number line shows the temperature in degree Celsius (°C)at different places on a particular day.



Observe this number line and write the temperature of the places marked on it.

Q.

Write the successor and predecessor of the following integers.

$-35$

Q.

On a number line, 2.5 will lie:

1. To the left of 0

2. In between 2.4 and 2.7

3. To the left of 2

4. In between 2.6 and 2.7

Q.

Question 3

By observing the given number line, state which of the following statements is true?

(a) B is 2
(b) A is -4
(c) B is -13
(d) B is -4

Q.

A unit in a number line is the distance between two consecutive whole numbers.

1. True
2. False

Q. Represent each of the following rational numbers on the number line:

(i) $\frac{1}{3}$
(ii) $\frac{2}{7}$
(iii) $\frac{7}{3}$
(iv) $\frac{22}{7}$
(v) $\frac{37}{8}$
(vi) $\frac{-1}{3}$
(vii) $\frac{-3}{4}$
(viii) $\frac{-12}{7}$
(ix) $\frac{36}{-5}$
(x) $\frac{-43}{9}$

Q.

On the number line, the smaller whole number lies to the ______ of the greater whole number.

Q. Absolute value of a real number is the magnitude of a number without regard to its sign.

1. False
2. True

Q.

If we are at - 7 on the number line and move 9 units to the right, we would reach ___.

1. 2

2. 0

3. -16

4. -1

Q.

The arrangement of integers 20, -1, 0, -5, -21, -9 in ascending order is

1. 0, 20, -1, -9, -5, -21

2. -5, 0, -1, -21, 20, 9

3. -21, -9, -5, -1, 0, 20

4. 20, -9, 0, -1, -5, -21

Q.

Choose the correct statements about integers.

1. An integer is positive, it means it is less than zero.

2. An integer is negative, it means it is less than zero.

3. An integer is negative, it means it is greater than zero.

4. An integer is positive, it means it is greater than zero.

Q.

Express each of the following rational numbers as the sum of an integer and a rational number:
(i) $\frac{12}{5}$
(ii) $\frac{-11}{7}$
(iii) $\frac{-25}{9}$
(iv) $\frac{-103}{20}$

Q.

The predecessor of $9099$is :

1. $9088$

2. $9098$

3. $9100$

4. $9091$

Q. Which of the two rational numbers is greater in each of the following pairs?

(i) $\frac{5}{6}\mathrm{or}0$
(ii) $\frac{-3}{5}\mathrm{or}0$
(iii) $\frac{5}{8}\mathrm{or}\frac{3}{8}$
(iv) $\frac{7}{9}\mathrm{or}\frac{-5}{9}$
(v) $\frac{-6}{11}\mathrm{or}\frac{5}{-11}$
(vi) $\frac{-15}{4}\mathrm{or}\frac{-17}{4}$

Q.

Mention the name of a Mathematician who showed the method of representing sets through diagrams.

Q.

Arrange each set of integers in order from least to greatest.

$9,-2,-4,0,15$

Q.

Write the successor and predecessor of the following integers.

$-112$

Q. Mark (✓) against the correct answer
How much less than −2 is −6?

(a) 4
(b) −4
(c) 8
(d) −8

Q. (i) Provide the number in box $\boxed{}$ and also give its simplest from in each of the following:
(i) $\frac{2}{3}\times \boxed{}=\frac{10}{30}$
(ii) $\frac{3}{5}\times \boxed{}=\frac{24}{75}$.

Q.

Which is the largest natural number