NCERT Solutions Class 6th Maths Chapter – 8 Decimals Exercise – 8.2

Question 1. Express as rupees using decimals.

(a) 5 paise
(b) 75 paise
(c) 20 paise
(d) 50 rupees 90 paise
(e) 725 paise

Solution –

We know that there are 100 paise in 1 rupee

(a) 5 paise = 5 / 100 rupees
= Rupees 0.05

(b) 75 paise = 75 / 100 rupees
= Rupees 0.75

(c) 20 paise = 20 / 100 rupees
= Rupees 0.20

(d) 50 rupees 90 paise = [(50 + 90 / 100)] rupees
= Rupees 50.90

(e) 725 paise = 725 / 100 rupees
= Rupees 7.25

Question 2. Express as metres using decimals-

(a) 15cm
(b) 6cm
(c) 2m 45cm
(d) 9m 7cm
(e) 419 cm

Solution –

We know that there are 100 cm in 1 metre

(a) 15 cm = 15 / 100 m
= 0.15 m

(b) 6 cm = 6 / 100 m
= 0.06 m

(c) 2 m 45 cm = [(2 + 45 / 100)] m
= 2.45 m

(d) 9 m 7 cm = [(9 + 7 / 100)] m
= 9.07 m

(e) 419 cm = 419 / 100 m
= 4.19 m

Question 3. Express as cm using decimals.

(a) 5 mm
(b) 60 mm
(c) 164 mm
(d) 9 cm 8 mm
(e) 93 mm

Solution –

We know that there are 10 mm in 1 cm

(a) 5 mm = 5 / 10 cm
= 0.5 cm

(b) 60 mm = 60 / 10 cm
= 6.0 cm

(c) 164 mm = 164 / 10 cm
= 16.4 cm

(d) 9 cm 8 mm = [(9 + 8 / 10)] cm
= 9.8 cm

(e) 93 mm = 93 / 10 cm
= 9.3 cm

Question 4. Express as km using decimals.

(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70km 5m

Solution –

We know that there are 1000 metres in 1 km

(a) 8 m = 8 / 1000 km
= 0.008 km

(b) 88 m = 88 / 1000 km
= 0.088 km

(c) 8888 m = 8888 / 1000 km
= 8.888 km

(d) 70 km 5 m = [(70 + 5 / 1000)] km
= 70.005 km

Question 5. Express as kg using decimals.

(a) 2 g
(b) 100 g
(c) 3750 g
(d) 5 kg 8 g
(e) 26 kg 50 g

Solution –

We know that there are 1000 grams in 1 kg

(a) 2 g = 2 / 1000 kg
= 0.002 kg

(b) 100 g = 100 / 1000 kg
= 0.1 kg

(c) 3750 g = 3750 / 1000 kg
= 3.750 kg

(d) 5 kg 8 g = [(5 + 8 / 1000)] kg
= 5.008 kg

(e) 26 kg 50 g = [(26 + 50 / 1000)] kg
= 26.050 kg