Decimals - Exercise 7.6 Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Class 6 : Decimals - Exercise 7.6 Class 6 Notes | EduRev

 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 
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