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**Brilliant’s Composite Mathematics Class 7 Solutions Chapter 1 Rational Numbers**

Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Brilliant’s Composite Mathematics Class 7 Math Book, Chapter 1, Rational Numbers. Here students can easily find step by step solutions of all the problems for Rational Numbers, Exercise 1.1, 1.2, 1.3 and 1.4 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily.

**Rational Numbers Exercise 1.1 Solution**

**Question no – (1) **

**Solution : **

Here, Numerator is 5

**Question no – (2)**

**Solution : **

Here, Numerator is – 9

**Question no – (3)**

**Solution : **

Here, Numerator is 2

**Question no – (4)**

**Solution : **

Here, Numerator is 15

**Question no – (5)**

**Solution : **

Here, Numerator is – 7

**Question no – (6)**

**Solution : **

Here, Denominator is 20

**Question no – (7)**

**Solution : **

Here, Denominator is 13

**Question no – (8)**

**Solution : **

Here, Denominator is – 17

**Question no – (9)**

**Solution : **

Here, Denominator is – 25

**Question no – (10)**

**Solution : **

Here, Denominator is 28

**Question no – (11)**

**Solution : **

Rational number = 15/1

**Question no – (12)**

**Solution : **

Rational number = – 7/1

**Question no – (13)**

**Solution : **

Rational number = 10/1

**Question no – (14)**

**Solution : **

Rational number = – 25/1

**Question no – (15)**

**Solution : **

Rational number = 37/1

**Question no – (16)**

**Solution : **

Given, 13/1

Now, as integers = 13

**Question no – (17)**

**Solution : **

Given, – 25/1

Now, as integers = -25

**Question no – (18)**

**Solution : **

Given, 27/1

Now, as integers = 27

**Question no – (19)**

**Solution : **

Given, – 18/1

Now, as integers = 18

**Question no – (20)**

**Solution : **

Given, 29/1

Now, as integers = 29

**Question no – (21)**

**Solution : **

Given, – 3/14

= it is negative

**Question no – (22)**

**Solution : **

Given, – 4/- 27

= it is positive

**Question no – (23)**

**Solution : **

Given, 5/11

= it is positive

**Question no – (24)**

**Solution : **

Given, – 7/18

= it is negative

**Question no – (26)**

**Solution : **

Given, 9/- 25

= it is negative

**Question no – (27)**

**Solution : **

Given, – 25/39

= it is negative

**Question no – (28)**

**Solution : **

Given, – 21/- 58

= it is positive

**Question no – (29) **

**Solution : **

**(i)** 15 – 7/16 + 23

= 8/39

**(ii)** 3 × 4/5 ×2

= 12/10

= 5/6

**(iii)** 17 – 34/- 5 × 13

= – 17/- 65

**Rational Numbers Exercise 1.2 Solution**

**Question no – (1)**

**Solution : **

Given, – 3/5

= – 3 × 2/5 × 2

= – 6/10

**Question no – (2)**

**Solution : **

Given, – 3/5

= – 3 × 3/5 × 3

= 9/15

**Question no – (3)**

**Solution : **

Given, – 3/5

= – 3 × – 5/5 × – 5

= 15/- 25

**Question no – (4)**

**Solution : **

Given, – 3/5

= – 3 × 8/5 × – 8

= 24/- 40

**Question no – (5)**

**Solution : **

Given, – 3/5

= – 3 × 13/5 × 13

= – 39/65

**Question no – (6)**

**Solution : **

= – 5/6

= – 5 × 2/6 × 2

= – 10/12

**Question no – (7)**

**Solution : **

– 5/6

= – 5 × 3/6 × 3

= – 15/18

**Question no – (8)**

**Solution : **

– 5/6

= – 5 × 4/6 × 4

= – 20/24

**Question no – (9)**

**Solution : **

– 5/6

= – 5 × 5/6 × 5

= – 25/30

**Question no – (10)**

**Solution : **

– 5/6

= – 5 × 8/6 × 8

= – 40/48

**Question no – (11)**

**Solution : **

Given, 3/- 7

= 3 × – 1/- 7 × -1

= – 3/7

**Question no – (12)**

**Solution : **

Given, 14/- 27

= 14 × -1/- 27 × – 1

= – 14/27

**Question no – (13)**

**Solution : **

Given, 21/- 13

= 21 × – 1/- 13 × – 1

= – 21/13

**Question no – (14)**

**Solution : **

Given, 8/- 3

= 8 × – 1/- 9 × – 1

= – 8/9

**Question no – (15)**

**Solution : **

Given, – 27/- 59

= 27 × – 1/- 59 × – 1

= – 27/59

**Question no – (16)**

**Solution : **

Given, -3/7, 4/9

= Equal

**Question no – (17)**

**Solution : **

Given, 20/-25, 8/-10

= Not equal

**Question no – (18)**

**Solution : **

Given, -2/14, 3/21

= Equal

**Question no – (19)**

**Solution : **

Given, 3/8, 6/16

= Equal

**Question no – (20)**

**Solution : **

Given, -26/39

Now, in standard from = -2/3

**Question no – (21)**

**Solution : **

Given, 45/- 60

Now, in standard from = 3/-5

**Question no – (22)**

**Solution : **

Given, 24/- 56

Now, in standard from = 3/-7

**Question no – (23)**

**Solution : **

Given, -12/28

Now, in standard from = -3/7

**Question no – (24)**

**Solution : **

Given, -92/230

Now, in standard from = -2/5

**Question no – (25)**

**Solution : **

= -3/4 =__ 21/__-28 = -15/__20__

**Question no – (26)**

**Solution : **

= 5/7 = 25/__35__ = __15__/21

**Question no – (27)**

**Solution : **

= 6/13 = -12/__26__ = __24__/52

**Question no – (28)**

**Solution : **

= -15/__39__ = 5/13 = __25__/-65

**Rational Numbers Exercise 1.3 Solution**

**Question no – (9) **

**Solution : **

= -5/3 > 17/-10

**Question no – (10)**

**Solution : **

= 2/5 > 3/7

**Question no – (11)**

**Solution : **

= 6/-5 > -13/-8

**Question no – (12)**

**Solution : **

= 4/3 > -8/-7

**Question no – (13)**

**Solution : **

-7/10 < 2/-3

**Question no – (14)**

**Solution : **

2/-3 < -5/8

**Question no – (15)**

**Solution : **

5/8 < 3/4

**Question no – (16)**

**Solution : **

4/3 < -8/-7

**Question no – (17) **

**Solution :**

Given, -7/10, 2/-3, 5/8, 3/5,

= -7/10 < 2/- 3 < 3/5 < 5/8 …(ascending order)

**Question no – (18) **

**Solution :**

Given, 4/9, -11/24, 3/7, 7/-15

= 4/9 > 3/7 > -11/24 > 7/-15 …(descending order)

**Question no – (19)**

**Solution :**

Greatest rational number is 2/-3

**Question no – (20)**

**Solution :**

Greatest rational number is 22/23

**Question no – (21)**

**Solution :**

Greatest rational number is -4/9 < 3/-7

**Question no – (22)**

**Solution :**

Greatest rational number is 3/13 < 4/17

**Question no – (23)**

**Solution :**

Greatest rational number is 4/-25 < -3/19

**Question no – (24)**

**Solution :**

Greatest rational number is 12/-23 > -3/5

**Question no – (25) **

**Solution : **

**(i)** Given statements – **True**

**(ii)** Given statements – **False**

**(iii)** Given statements – **True**

**(iv)** Given statements – **True**

**(v)** Given statements – **False**

**(vi)** Given statements – **True**

**(vii)** Given statements – **True**

**(viii)** Given statements – **False**

**(ix)** Given statements – **True**

**(x)** Given statements – **False.**

**Rational Numbers Exercise 1.4 Solution**

**Question no – (1)**

**Solution : **

2/3 = 2 × 5/3 ×5

= 10

= 4/5 = 4 × 3/5 × 3

= 12/15

**∴** 10/15, 11/15, 12/15

**Question no – (2)**

**Solution : **

2/3 = 2 × 7/3 × 7

= 14/21

= 4/7 = 4 × 3/7 × 7

= 12/21

**∴** 12/21, 13/21, 14/21

**Question no – (3)**

**Solution : **

– 1 = – 1 × 3/1 × 3

= – 3/5

= 2/3 = 2/3

**∴** -2/3, -1/3 , 1, 1/3, 2/3

**Question no – (4)**

**Solution : **

-3/4 = -3/4

= 1 = 1 × 4/1 ×4

= 4/4

= -2/4, -1/4, 1, 1/4, 2/4, 3/4

**Question no – (5)**

**Solution : **

-5/8 = 5 × 11/8 × 11

= -55/88

= -6/11 = -6 × 8/11× 8

= -48/88

= -59/88, -51/88, 52/88

**Question no – (6)**

**Solution : **

1 = 1×12/1 ×12

= 12/12

= 2/3 = 2 × 4/3 × 4

= 8/12

= 9/12, 1/12, 11/12, 12/12

**∴** Three rational numbers are 9/12, 1/12, 11/12, 12/12

**Question no – (7)**

**Solution : **

2/3 = 2 × 15/3 ×15

= 30/45

= 3/5 = 3 ×9/5 ×9

= 27/45

= 28/45, 29/45, 30/45

**∴** Three rational numbers are 28/45, 29/45, 30/45

**Question no – (8)**

**Solution : **

-1 = 1 ×12/1×12

= -12

= 4/3 = 3×3/4×3

= – 9/12

= – 10/12, -11/12, -12/12

**∴** Three rational numbers are – 10/12, -11/12, -12/12

**Question no – (9)**

**Solution : **

-3/4 = -3×15/4×5

= -45/60

= -4/5 = -4×12/5×12

= -48/60

= -46/60, -67/60, -48/60

**∴** Three rational numbers are -46/60, -67/60, -48/60

**Question no – (10)**

**Solution : **

-15/2 = -15×5/2×5

= -75/10

= -13/2 = -13 ×5/2×5

= – 65/10

= -66/10, -67/10, -68/10

**∴** Three rational numbers are -66/10, -67/10, -68/10

**Question no – (11) **

**Solution : **

= -1

= 1/2

= -1, 0, 1, 1, 1/2

**∴** Four rational numbers are -1, 0, 1, 1, 1/2

**Question no – (12)**

**Solution : **

Given, 3/14

= |3/14|

= 3/14

**Question no – (13)**

**Solution : **

Given, -7/18

= |-(-7/18)|

= |7/18|

**Question no – (14)**

**Solution : **

Given, -9/-10

= |-(-9/10)|

= 9/10

**Question no – (15)**

**Solution : **

Given, -5/18

= |- (-5/18)|

= 5/185

**Question no – (16)**

**Solution : **

Given, -4/29

= |- (-4/29)|

= 4/29

**Question no – (17)**

**Solution : **

Given, 3/-4

= |- (-3/4)|

= 3/4

**Question no – (18)**

**Solution : **

Given, x = -7/9

or, |x| = |-x|

= |-(-7/9)|

= 7/9

**Question no – (19)**

**Solution : **

Given, x = 4/13

or, |x| = |-4/13|

= -4/3

**∴** x = -4/3

**Question no – (20)**

**Solution : **

Given, x = -15/-29

**∴** |x| = |-(15/-29)|

= 15/29

**∴** x = 15/29

**Question no – (21) **

**Solution : **

Given, 2/3

= |-2/3|

= 2/3

**∴** 2/3, -2/3

**Question no – (22) **

**Solution : **

Given, 3/4

= |-3/4|

= 3/4

∴3/4, -3/4

**Question no – (23) **

**Solution : **

Given, 6/25

= |-6/25|

= 6/25

**∴** 6/25, -6/25

**Question no – (24) **

**Solution : **

Given, 14/27

= |-14/27|

= 14/27

**∴** 14/27, -14/27

**Question no – (25) **

**Solution : **

Given, 16/23

= |-16/23| = 16/23

**∴** 16/23, -16/23

**Question no – (26) **

**Solution : **

**(a)** Can we always find a rational number two rational numbers

= **Yes**

**(b)** Can we always find an integer between two integers

= **No**

**(c)** Can we find an integer between two consecutive integers

= **No**

**(d)** Can you find a rational number whose absolute values is -1

= **Yes**

**Next Chapter Solution : **

👉 Chapter 2 👈