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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 👈
