RD Sharma Solutions: Decimals (Exercise 7.6)

# Decimals (Exercise 7.6) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

``` Page 1

Exercise 7.6                                                                           page: 7.24
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
Page 2

Exercise 7.6                                                                           page: 7.24
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
Page 3

Exercise 7.6                                                                           page: 7.24
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
Page 4

Exercise 7.6                                                                           page: 7.24
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
Page 5

Exercise 7.6                                                                           page: 7.24
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
```

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

### Up next

 Explore Courses for Class 6 exam

### Top Courses for Class 6

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;