# Joy of Mathematics Class 6 Solutions Chapter 6

## Joy of Mathematics Class 6 Solutions Chapter 6 Decimals

Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Joy of Mathematics Class 6 Book, Chapter 6 Decimals. Here students can easily find step by step solutions of all the problems for Decimals. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Students will get chapter 6 solutions. Here students will find exercise wise solutions for chapter 6 Exercise 6.1, 6.2, 6.3, 6.4 and 6.5

Decimals Exercise 6.1 Solution :

Question no – (1)

Solution :

(a) 7/10 = 0.7

(b) 21/100 = 0.21

(c) 623/1000 = 0.632

(d) 45/10 = 4.5

(e) 215/100 = 2.15

(f) 1639/100 = 1.639

Question no – (2)

Solution :

(a) 7/5

(b) 4/5

(c) 7/125

(d) 9/40

(e) 27/250

(f) 12/125

Question no – (3)

Solution :

(a) 0.5

= 5/10

= 2/1

(b) 6.52

= 752/100

= 376/50

= 188/25

(c) 3.05

= 305/100

= 61/20

(d) 4.50

= 450/100

= 9/2

(e) 2.375

= 2375/1000

= 19/8

(f) 1075/199999

= 43/4000

Question no – (4)

Solution :

(a) 9 × 10 + 3 × 1 + 6/10 × 1/100 + 4 × 1/1000

(b) 4 × 100 + 2 × 10 + 3 × 1 + 6 × 1/10 + 9 × 1/10 + 8 × 1/1000

(c) 9 × 100 + 6 × 10 + 9 × 1 +6 × 1/10 + 9 × 1/10

(d) 4 × 10 + 3 × 1 + 4 × 1/10 + 3 × 1/100 + 3 × 1/1000

(e) 4 × 100 + 4 × 10 + 4 × 1 + 4 × 1/10 + 4 × 1/100

(f) 5 × 100 + 6 × 10 + 9 × 1 + 1/100 + 4 × 1/100 + 9 × 1/1000

(g) 2 × 10 + 6 × 1 + 9 × 1/10 + 4 × 1/100 + 5 × 1/1000

(h) 4 × 10 + 9 × 1 + 3 × 1/10 + 8 × 1/100

Question no – (5)

Solution :

(a) Decimal = 642.963

Expand = 6 × 100 + 4 × 10 + 2 × 1 + 9 × 1/10 + 6 × 1/100 – 3 × 1/1000

(b) Decimal = 562.06

Expand = 5 × 100 + 6 × 10 + 2 × 1 + 0 × 1/10 + 6 × 1/100

Decimals Exercise 6.2 Solution :

Question no – (1)

Solution :

(a) Like decimals = 6.900, 4.360, 9.990, 3.605, 2.956

(b) Like decimals = 66.660, 69.960, 3.000, 4.600, 96, 865

Question no – (2)

Solution :

(a) 0.520, 0.546, 0.522, 0.563, 0.529.

Ascending order = 0.520, 0.522, 0.529, 0.546, 0.563

(b) 63.660, 63.666, 63, 606,63.696, 63.996

Ascending = 63.606, 63.660, 63. 666, 63, 696, 63.966

Descending order = 63.966, 63.696, 63.666, 63. 660, 63, 606

(c) 422.020, 422.220, 422.222, 4222.202, 422.200

Ascending order = 422.020, 422.200, 422.202, 422.220, 422.222

Descending order = 422.222, 422.220, 422.202, 422.200, 422.020

Question no – (3)

Solution :

(a) 9.6

(b) 4.8

(c) 5.6

(d) 2.3

Decimals Exercise 6.3 Solution :

Question no – (1)

Solution :

(a) (0.87 + 0.5)

= 1.37

(b) (15.35 + 16.25)

= 31.60

(c) (67.35 + 22.69)

= 90

(d) (25.075 + 0.55 + 0.005)

= 25.63

(e) 10 + 0.637 + 0.363

= 11

(f) 25.076 + 0.55 + 0.504

= 26.13

Question no – (2)

Solution :

(a) (35 + 65.45)

= 100.45

(b) (152 + 4.75)

= 157.25

(c) 2.165 + 2.05

= 4.215

(d) 2.350 + 475

= 477.35

(e) 3.450 + 1.250

= 4.700

(f) 2.55 + 55.67

= 58.22

Question no – (3)

Solution :

(a) 9.765 – 6.505

= 3. 26

(b) 21.07 – 18.72

= 2.35

(c) 18.56 – 0.356

= 18.204

(d) 12.05 – 9.307

= 2.743

(e) 21.1 – 13.257

= 7.843

(f) 18.375 – 12.045

= 6.33

Question no – (4)

Solution :

(a) (36. 75 – 22.35)

= 14.40

(b) (16.95 – 5.50)

= 11.45

(c) (245.5 – 205.75)

= 39.75

(d) (7.099 – 2.059)

= 5.404

(e) (10.750 – 3.25)

= 7.50

(f) (8.5 – 3.515)

= 4.446

Question no – (5)

Solution :

Number should be subtracted

= (12.55 – 9.90)

= 2.65

Question no – (6)

Solution :

= (100 – 75 – 35)

= 24.65

Decimals Exercise 6.4 Solution :

Question no – (1)

Solution :

(a) 3.4 × 6

= 20.4

(b) 3.7 × 5

= 18.5

(c) 7.5 × 7

= 52.2

(d) 18.52 × 4 × 0.2

= 14.816

(e) 21.45 × 7 × 6

= 900.9

(f) 11204 × 12 × 4

= 5377.92

Question no – (2)

Solution :

(a) 3.7 × 7

= 25.9

(b) 4.1 × 8

= 32.8

(c) 2.5  × 3.5

= 8.75

(d) 0.5 × 1.2

= 60

(e) 1.005 × 4

= 4.202

(f) 1.0005 × 0.04

= 0.004020

Question no – (3)

Solution :

(a) 69.817 × 10

= 698.17

(b) 35.41 × 10

= 354.1

(c) 0.765 × 10

= 7.65

(d) 69.817 × 100

= 6981.7

(e) 65.7 × 100

= 6570

(f) 65.7 × 1000

= 65700

Question no – (4)

Solution :

(a) 3.5 × 0.9

= 3.15

(b) 3.5 × 0.56

= 1.96

(c) 0.9 × 0.15

= 0.135

(d) 35.7 × 0.08

= 2.856

(e) 1.6 × 4.009

= 6.4144

(f) 37.05 × 0.12

= 4.446

Question no – (5)

Solution :

(a) 24.5 ÷ 7

= 3.5

(b) 37.8 ÷ 9

= 4.2

(c) 18.042 ÷ 6

= 3.007

(d) 3,047 ÷ 11

(e) 37.905 ÷ 19

(f) 639.45 ÷ 15

Question no – (6)

Solution :

(a) 49.5 ÷ 10

= 4.95

(b) 49.5 ÷ 100

= 0.495

(c) 49.5 ÷ 100

= 0.0495

(d) 765. 57 ÷ 10

= 75.657

(e) 0.075 ÷ 100

= 0.0075

(f) 4.5 ÷ 1000

= 0.0045

Question no – (7)

Solution :

(a) 6.8 ÷ 0.4

= 68 × 10/4 × 10

= 17

(b) 8.375 ÷ 0.5

= 8375 × 10/5 × 1000

= 16.75

(c) 8.375/0.05

= 8375 × 100/1000 × 5

= 167.5

(d) 64.96/1.6

= 6496 × 10/100 × 16

= 40.6

(e) 64.96/0.16

= 6496 × 100/100 × 10

= 406

Decimals Exercise 6.5 Solution :

Question no – (1)

Solution :

(a) 3 mm

= 0.3 cm

(b) 33 mm

= 3.3 cm

(c) 125 mm

= 12.5 cm

(d) 85 mm

= 8.5 cm

(e) 4 cm 2 mm

= 4.2 cm

(f) 242 mm

= 24.2 cm

Question no – (2)

Solution :

(a) 25 cm

= 0.25 m

(b) 5 cm

= 0.05 m

(c) 250 cm

= 250/100

= 2.5 m

(d) 5 mm

= 5/100

= 0.005 m

(e) 10 cm 5 mm

= 0.105 m

(f) 905 cm

= 905/100 m

= 9.05 m

Question no – (3)

Solution :

(a) Height

= 1.67 m

(b) Length

= 7.5 cm

(c) Length

= 3.05

Question no – (4)

Solution :

(a) Rs 5.55

(b) Rs 0.35

(c) Rs 0.05

(d) Rs 0.50

(e) Rs 1.50

(f) Rs 1.05

Question no – (5)

Solution :

(a) Karim get back

= (100 – 65.65) Rs

= 34.35

Question no – (6)

Solution :

Money left

= [450 – 9125.50 + 75.25 + 112.55)] Rs

= (450 – 313.3)

= 136.70 Rs

Question no – (7)

Solution :

Money left,

= [400 – (235.50 + 35.65 + 67.25)] Rs

= (400 – 338.4)

= 61.6 Rs

Question no – (8)

Solution :

Rice consumed,

= {(32.5 + 72.750) – 25.5}kg

= (105.25 – 25.5)

= 79.75 Rs

Question no – (9)

Solution :

= 7 cons hold,

= (7 × 12.5)L

= 87.5L

Question no – (10)

Solution :

Area of the plot,

= (21.5 × 12.5) m2

= 268.75 m2

Question no – (11)

Solution :

Weight of 10 such gold chains,

= (42.135 × 10) g

= 421.35 g

Question no – (12)

Solution :

Length of each piece,

= (10.36 ÷ 7) m

= 1.48 m

Question no – (13)

Solution :

= 1 kg = 1000 gm

Cost of 41 g of apples

= 10.25 Rs

Cost of 41 g of apples

= 10.25/41

Cost of 1000 of apples

= 10.25 × 1000/41

= 250 Rs

Question no – (14)

Solution :

Share of each child,

= (278.70 ÷ 6)

= 46.45 Rs

Question no – (15)

Solution :