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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 :
No should be added
= (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 :
Packets made,
= 22.5 kg/0.9 kg
= 22.5 × 10/9
= 225/9
= 25 packet
Next Chapter Solution :
👉 Chapter 7 👈
