Let’s look at the solution for class 6 exercise 8.1 decimal chapter. Presenting detailed examples and step-by-step solutions. This chapter is about converting units like paise to rupees, centimeters to meters, millimeters to centimeters, meters to kilometers, and grams to kilograms to their decimal equivalents. You’ll be able to master these conversions and confidently solve the questions. Clear all your concepts here, as you will require these in future chapters.
Class 6 Exercise 8.1 Decimals: NCERT Book Solutions
1. Express as rupees using decimals:
Solution:
(a) 5 paise
5 paise = 5 / 100 rupees
= 0.05 rupees
i.e. 5 paise = ₹0.05
(b) 75 paise
75 paise = 75 / 100 rupees
= 0.75 rupees
i.e. 75 paise = ₹0.75
(c) 20 paise
20 paise = 20 / 100 rupees
= 0.20 rupees
i.e. 20 paise = ₹0.20
(d) 50 rupees 90 paise
50 rupees 90 paise = 50 + (90 / 100) rupees
= 50 + 0.90 rupees
= 50.90 rupees
i.e. 50 rupees 90 paise = ₹50.90
(e) 725 paise
725 paise = 700 paise + 25 paise
= 700 / 100 rupees + 25 / 100 rupees
= 7 rupees + 0.25 rupees
= 7.25 rupees
i.e. 725 paise = ₹7.25
2. Express as metres using decimals:
Solution:
(a) 15 cm
15 cm = 15 / 100 metres
= 0.15 metres
i.e. 15 cm = 0.15 metres
(b) 6 cm
6 cm = 6 / 100 metres
= 0.06 metres
i.e. 6 cm = 0.06 metres
(c) 2 m 45 cm
2 m 45 cm = 2 metres + 45 cm
= 2 metres + (45 / 100) metres
= 2 metres + 0.45 metres
= 2.45 metres
i.e. 2 m 45 cm = 2.45 metres
(d) 9 m 7 cm
9 m 7 cm = 9 metres + 7 cm
= 9 metres + (7 / 100) metres
= 9 metres + 0.07 metres
= 9.07 metres
i.e. 9 m 7 cm = 9.07 metres
(e) 419 cm
419 cm = 400 cm + 19 cm
= 400 / 100 metres + 19 / 100 metres
= 4 metres + 0.19 metres
= 4.19 metres
i.e. 419 cm = 4.19 metres
3. Express as cm using decimals:
Solution:
(a) 5 mm
5 mm = 5 / 10 cm
= 0.5 cm
i.e. 5 mm = 0.5 cm
(b) 60 mm
60 mm = 60 / 10 cm
= 6 cm
i.e. 60 mm = 6 cm
(c) 164 mm
164 mm = 160 mm + 4 mm
= 160 / 10 cm + 4 / 10 cm
= 16 cm + 0.4 cm
= 16.4 cm
i.e. 164 mm = 16.4 cm
(d) 9 cm 8 mm
9 cm 8 mm = 9 cm + 8 mm
= 9 cm + (8 / 10) cm
= 9 cm + 0.8 cm
= 9.8 cm
i.e. 9 cm 8 mm = 9.8 cm
(e) 93 mm
93 mm = 90 mm + 3 mm
= 90 / 10 cm + 3 / 10 cm
= 9 cm + 0.3 cm
= 9.3 cm
i.e. 93 mm = 9.3 cm
4. Express as km using decimals:
Solution:
(a) 8 m
8 m = 8 / 1000 km
= 0.008 km
i.e. 8 m = 0.008 km
(b) 88 m
88 m = 88 / 1000 km
= 0.088 km
i.e. 88 m = 0.088 km
(c) 8888 m
8888 m = 8888 / 1000 km
= 8.888 km
i.e. 8888 m = 8.888 km
(d) 70 km 5 m
70 km 5 m = 70 km + 5 m
= 70 km + (5 / 1000) km
= 70 km + 0.005 km
= 70.005 km
i.e. 70 km 5 m = 70.005 km
5. Express as kg using decimals:
Solution:
(a) 2 g
2 g = 2 / 1000 kg
= 0.002 kg
i.e. 2 g = 0.002 kg
(b) 100 g
100 g = 100 / 1000 kg
= 0.1 kg
i.e. 100 g = 0.1 kg
(c) 3750 g
3750 g = 3000 g + 750 g
= 3000 / 1000 kg + 750 / 1000 kg
= 3 kg + 0.75 kg
= 3.75 kg
i.e. 3750 g = 3.75 kg
(d) 5 kg 8 g
5 kg 8 g = 5 kg + 8 g
= 5 kg + (8 / 1000) kg
= 5 kg + 0.008 kg
= 5.008 kg
i.e. 5 kg 8 g = 5.008 kg
(e) 26 kg 50 g
26 kg 50 g = 26 kg + 50 g
= 26 kg + (50 / 1000) kg
= 26 kg + 0.05 kg
= 26.05 kg
i.e. 26 kg 50 g = 26.05 kg
