Exercise 7.6 has questions which help students understand the uses of decimal notation in money values, measures of lengths, measures of weights, measures of capacity, etc. RD Sharma Solutions Class 6 have answers with explanations in an interactive manner to make concepts easier for the students. In order to understand more about the concepts, the students can download RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals Exercise 7.6 PDF, which is provided here.
RD Sharma Solutions for Class 6 Maths Chapter 7: Decimals Exercise 7.6
Access answers to Maths RD Sharma Solutions for Class 6 Chapter 7: Decimals Exercise 7.6
1. Express as Rupees (Rs) using decimals:
(i) 15 paisa
(ii) 5 paisa
(iii) 350 paisa
(iv) 2 rupees 60 paisa
Solution:
(i) 15 paisa
We know that 100 paisa = Rs 1
So we get 1 paisa = Rs 1/100
It can be written as
15 paisa = 15/100
We get
15 paisa = Rs 0.15
(ii) 5 paisa
We know that 100 paisa = Rs 1
So we get 1 paisa = Rs 1/100
It can be written as
5 paisa = 5/100
We get
5 paisa = Rs 0.05
(iii) 350 paisa
We know that 100 paisa = Rs 1
So we get 1 paisa = Rs 1/100
It can be written as
350 paisa = 350/100
We get
350 paisa = Rs 3.50
(iv) 2 rupees 60 paisa
We know that 100 paisa = Rs 1
So we get 1 paisa = Rs 1/100
It can be written as
2 rupees 60 paisa = 2 + 60/100
We get
2 rupees 60 paisa = Rs 2.60
2. Express as metres (m) using decimals:
(i) 15 cm
(ii) 8 cm
(iii) 135 cm
(iv) 3 m 65 cm
Solution:
(i) 15 cm
We know that 100 cm = 1 m
So we get 1 cm = 1/100 m
It can be written as
15 cm = 15 (1/100)
We get
15 cm = 0.15 m
(ii) 8 cm
We know that 100 cm = 1 m
So we get 1 cm = 1/100 m
It can be written as
8 cm = 8 (1/100)
We get
8 cm = 0.08 m
(iii) 135 cm
We know that 100 cm = 1 m
So we get 1 cm = 1/100 m
It can be written as
135 cm = 135 (1/100)
We get
135 cm = 1.35 m
(iv) 3 m 65 cm
We know that 100 cm = 1 m
So we get 1 cm = 1/100 m
It can be written as
3 m 65 cm = 3 + 65 (1/100)
We get
3 m 65 cm = 3.65 m
3. Express as centimeter (cm) using decimals:
(i) 5 mm
(ii) 60 mm
(iii) 175 mm
(iv) 4 cm 5 mm
Solution:
(i) 5 mm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
5 mm = 5/10
We get
5 mm = 0.5 cm
(ii) 60 mm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
60 mm = 60/10
We get
60 mm = 6 cm
(iii) 175 mm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
175 mm = 175/10
We get
175 mm = 17.5 cm
(iv) 4 cm 5 mm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
4 cm 5 mm = 4 + 5/10
We get
4 cm 5 mm = 4.5 cm
4. Express as kilometer (km) using decimals:
(i) 5 m
(ii) 55 m
(iii) 555 m
(iv) 5555 m
(v) 15 km 35 m
Solution:
(i) 5 m
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
5 m = 5/1000 km
We get
5 m = 0.005 km
(ii) 55 m
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
55 m = 55/1000 km
We get
55 m = 0.055 km
(iii) 555 m
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
555 m = 555/1000 km
We get
555 m = 0.555 km
(iv) 5555 m
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
5555 m = 5555/1000 km
We get
5555 m = 5.555 km
(v) 15 km 35 m
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
15 km 35 m = 15 + 35/1000 km
We get
15 km 35 m = 15.035 km
5. Express as kilogram (kg) using decimals:
(i) 8 g
(ii) 150 g
(iii) 2750 g
(iv) 5 kg 750 g
(v) 36 kg 50 g
Solution:
(i) 8 g
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
8 g = 8/1000
We get
8 g = 0.008 kg
(ii) 150 g
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
150 g = 150/1000
We get
150 g = 0.150 kg
(iii) 2750 g
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
2750 g = 2750/1000
We get
2750 g = 2.750 kg
(iv) 5 kg 750 g
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
5 kg 750 g = 5 + 750/1000
We get
5 kg 750 g = 5.750 kg
(v) 36 kg 50 g
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
36 kg 50 g = 36 + 50/1000
We get
36 kg 50 g = 36.050 kg
6. Express each of the following without using decimals:
(i) Rs 5.25
(ii) 8.354 kg
(iii) 3.5 cm
(iv) 3.05 km
(v) 7.54 m
(vi) 15.005 kg
(vii) 12.05 m
(viii) 0.2 cm
Solution:
(i) Rs 5.25
We know that 100 paisa = 1 rupee
So we get 1 paisa = 1/100 rupee
It can be written as
Rs 5.25 = 5 + 25/100
We get
Rs 5.25 = 5 + 1/4
On further calculation
Rs 5.25 = Rs 21/4
(ii) 8.354 kg
We know that 1000 g = 1 kg
So we get 1 g = 1/1000 kg
It can be written as
8.354 kg = 8354/1000 kg
(iii) 3.5 cm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
3.5 cm = 3 + 5/10
On further calculation
3.5 cm = 3 + 1/2
We get
3.5 cm = 7/2 cm
(iv) 3.05 km
We know that 1000 m = 1 km
So we get 1 m = 1/1000 km
It can be written as
3.05 km = 3 + 5/100
Multiplying and dividing by 10
3.05 km = 3 + 50/1000
On further calculation
3.05 km = 3 + 1/20
We get
3.05 km = 61/20 km
(v) 7.54 m
We know that 100 cm = 1 m
So we get 1cm = 1/100 m
It can be written as
7.54 m = 7 + 54/100
On further calculation
7.54 m = 7 + 27/50
We get
7.54 m = 377/50 m
(vi) 15.005 kg
We know that 1 kg = 1000 g
So we get 1 g = 1/1000 kg
It can be written as
15.005 kg = 15 + 5/1000
On further calculation
15.005 kg = 15 + 1/200
We get
15.005 kg = 3001/200 kg
(vii) 12.05 m
We know that 1 m = 100 cm
So we get 1 cm = 1/100 m
It can be written as
12.05 m = 12 + 5/100
On further calculation
12.05 m = 12 + 1/20
We get
12.05 m = 241/20 m
(viii) 0.2 cm
We know that 10 mm = 1 cm
So we get 1 mm = 1/10 cm
It can be written as
0.2 cm = 0 + 2/10
On further calculation
0.2 cm = 1/5 cm
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