## FRANK Solutions for Class 9 Maths Chapter 1 - Irrational Numbers

## Chapter 1 - Irrational Numbers Exercise Ex. 1.1

Question 1

State
which of these fractions have a terminating decimal.

Solution 1

Question 2

State
which of these fractions have a terminating decimal.

Solution 2

Question 3

State
which of these fractions have a terminating decimal.

Solution 3

Question 4

State
which of these fractions have a terminating decimal.

Solution 4

Question 5

State
which of these fractions have a terminating decimal.

Solution 5

Question 6

State
which of these fractions have a terminating decimal.

Solution 6

Question 7

State
which of these fractions have a terminating decimal.

Solution 7

Question 8

State
which of these fractions have a terminating decimal.

Solution 8

Question 9

State
which of these fractions have a terminating decimal.

Solution 9

Question 10

Express
each of the following decimals as a rational number.

0.93

Solution 10

Question 11

Express
each of the following decimals as a rational number.

4.56

Solution 11

Question 12

Express
each of the following decimals as a rational number.

0.614

Solution 12

Question 13

Express
each of the following decimals as a rational number.

21.025

Solution 13

Question 14

(vi)

Solution 14

(vi)

Question 15

Express
each of the following decimals as a rational number.

Solution 15

Question 16

Express
each of the following decimals as a rational number.

Solution 16

Question 17

Express
each of the following decimals as a rational number.

Solution 17

Question 18

Express
each of the following decimals as a rational number.

Solution 18

Question 19

Express
each of the following decimals as a rational number.

Solution 19

Question 20

Express
each of the following decimals as a rational number.

Solution 20

Question 21

Express
each of the following decimals as a rational number.

Solution 21

Question 22

Express
each of the following decimals as a rational number.

Solution 22

Question 23

Express
each of the following decimals as a rational number.

Solution 23

Question 24

Insert
a rational number between:

Solution 24

Question 25

Insert
a rational number between:

Solution 25

Question 26

Insert
a rational number between:

Solution 26

Question 27

Insert
a rational number between:

Solution 27

Question 28

Insert
a rational number between:

3
and 4

Solution 28

Question 29

Insert
a rational number between:

7.6
and 7.7

Solution 29

Question 30

Insert
a rational number between:

8
and 8.04

Solution 30

Question 31

Insert
a rational number between:

101
and 102

Solution 31

Question 32

Insert
three rational numbers between:

0
and 1

Solution 32

Question 33

Insert
three rational number between:

6
and 7

Solution 33

Question 34

Insert
three rational number between:

-3
and 3

Solution 34

Question 35

Insert
three rational number between:

-5
and -4

Solution 35

Question 36

Insert
five rational number between:

Solution 36

Question 37

Insert
five rational number between:

Solution 37

Question 38

Find
the greatest and the smallest rational number among the following.

Solution 38

Question 39

Find
the greatest and the smallest rational number among the following.

Solution 39

Question 40

Arrange
the following rational numbers in ascending order.

Solution 40

Question 41

Arrange
the following rational numbers in ascending order.

Solution 41

Question 42

Arrange
the following rational numbers in ascending order.

Solution 42

Question 43

Arrange
the following rational numbers in ascending order.

Solution 43

Question 44

Arrange
the following rational numbers in descending order.

Solution 44

Question 45

Arrange
the following rational numbers in descending order.

Solution 45

Question 46

Arrange
the following rational numbers in descending order.

Solution 46

Question 47

Arrange
the following rational numbers in descending order.

Solution 47

Question 48

Find
the value of:

Solution 48

Question 49

Find
the value of:

Solution 49

Question 50

Find
the value of:

Solution 50

Question 51

Find
the value of:

Solution 51

## Chapter 1 - Irrational Numbers Exercise Ex. 1.2

Question 1

State,
whether the following numbers are rational or irrational:

Solution 1

Question 2

State,
whether the following numbers are rational or irrational:

Solution 2

Question 3

State,
whether the following numbers are rational or irrational:

Solution 3

Question 4

State,
whether the following numbers are rational or irrational:

Solution 4

Question 5

Check
whether the square of the following is rational or irrational:

Solution 5

Question 6

Check
whether the square of the following is rational or irrational:

Solution 6

Question 7

Check
whether the square of the following is rational or irrational:

Solution 7

Question 8

Check
whether the square of the following is rational or irrational:

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Write
a pair of irrational numbers whose sum is irrational.

Solution 11

Question 12

Write
a pair of irrational numbers whose sum is rational.

Solution 12

Question 13

Write
a pair of irrational numbers whose difference is irrational.

Solution 13

Question 14

Write
a pair of irrational numbers whose difference is rational.

Solution 14

Question 15

Write
a pair of irrational numbers whose product is irrational.

Solution 15

Question 16

Write
a pair of irrational numbers whose product is rational.

Solution 16

Question 17

Compare
the following:

Solution 17

Question 18

Compare
the following:

Solution 18

Question 19

Write
the following in ascending order:

Solution 19

Question 20

Write
the following in ascending order:

Solution 20

Question 21

Write
the following in ascending order:

Solution 21

Question 22

Write
the following in ascending order:

Solution 22

Question 23

Write
the following in descending order:

Solution 23

Question 24

Write
the following in descending order:

Solution 24

Question 25

Write
the following in descending order:

Solution 25

Question 26

Insert
two irrational numbers between 3 and 4.

Solution 26

Question 27

Solution 27

Question 28

Write
two rational numbers between and

Solution 28

Question 29

Write
four rational numbers between and.

Solution 29

Question 30

State which of the following are surds. Give reasons.

Solution 30

Question 31

State
which of the following are surds. Give reasons.

Solution 31

Question 32

State
which of the following are surds. Give reasons.

Solution 32

Question 33

State
which of the following are surds. Give reasons.

Solution 33

Question 34

State
which of the following are surds. Give reasons.

Solution 34

Question 35

State
which of the following are surds. Give reasons.

Solution 35

Question 36

Represent
the numberon the number line.

Solution 36

## Chapter 1 - Irrational Numbers Exercise Ex. 1.3

Question 1

Simplify
by rationalising the denominator in each of the following:

Solution 1

Question 2

Simplify
by rationalising the denominator in each of the following:

Solution 2

Question 3

Simplify
by rationalising the denominator in each of the following:

Solution 3

Question 4

Simplify
by rationalising the denominator in each of the following:

Solution 4

Question 5

Simplify
by rationalising the denominator in each of the following:

Solution 5

Question 6

Simplify
by rationalising the denominator in each of the following:

Solution 6

Question 7

Simplify
by rationalising the denominator in each of the following:

Solution 7

Question 8

Simplify
by rationalising the denominator in each of the following:

Solution 8

Question 9

Simplify
by rationalising the denominator in each of the following:

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

In
each of the following, find the values of a and b:

Solution 14

Question 15

In
each of the following, find the values of a and b:

Solution 15

Question 16

In
each of the following, find the values of a and b:

Solution 16

Question 17

In
each of the following, find the values of a and b:

Solution 17

Question 18

In
each of the following, find the values of a and b:

Solution 18

Question 19

In
each of the following, find the values of a and b:

Solution 19

Question 20

In
each of the following, find the values of a and b:

Solution 20

Question 21

In
each of the following, find the values of a and b:

Solution 21

Question 22

In
each of the following, find the values of a and b:

Solution 22

Question 23

In
each of the following, find the values of a and b:

Solution 23

Question 24

(iv)

Solution 24

(iv)

Question 25

(v)

Solution 25

(v)

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

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