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Class 6 Decimals Ex 8.3



1. Find the sum in each of the following: 
 (a) 0.007 + 8.5 + 30.08 \[ \displaylines{ 0.007 \\+ 8.5\\+ 30.08 \\ \text{___________}\\38.587 \\ \text{___________}}\] 
 (b) 15 + 0.632 + 13.8 \[ \displaylines{ 15.000 \\+ 0.632\\+ 13.800 \\ \text{___________}\\29.432 \\ \text{___________}}\]
 (c) 27.076 + 0.55 + 0.004  \[ \displaylines{ 27.076 \\+ 0.550\\+ 0.004 \\ \text{___________}\\27.630 \\ \text{___________}}\]
 (d) 25.65 + 9.005 + 3.7  \[ \displaylines{ 25.650 \\+ 9.005\\+ 3.700 \\ \text{___________}\\38.355 \\ \text{___________}}\]
 (e) 0.75 + 10.425 + 2  \[ \displaylines{ 0.750 \\+ 10.425\\+ 2.000 \\ \text{___________}\\13.175 \\ \text{___________}}\]
 (f) 280.69 + 25.2 + 38  \[ \displaylines{ 280.69 \\+ 25.20\\+ 38.00 \\ \text{___________}\\343.89 \\ \text{___________}}\]
 
2. Rashid spent ₹ 35.75 for the Maths book and ₹ 32.60 for the Science book. Find the total amount spent by Rashid. 
  Solutions: 

Rashid spent for the Maths book = ₹ 35.75 

Rashid spent for the Science book = ₹ 32.60 
\[ \displaylines{ 35.75 \\+ 32.60\\ \text{___________}\\68.35 \\ \text{___________}}\] 
∴ The total amount of money spent by Rashid is ₹ 68.35. 

  3. Radhika’s mother gave her ₹ 10.50, and her father gave her ₹ 15.80. Find the total amount given to Radhika by the parents. 
 Solutions: 
Radhika’s mother gave her =₹ 10.50 

Her father gave her =₹ 15.80 

\[\displaylines{ 10.50 \\+ 15.80\\ \text{___________}\\26.30 \\ \text{___________}}\] 
∴ The total amount of money given by Radhika’s parents is ₹ 26.30. 

 4. Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her. 
 Solutions: 
 Nasreen bought cloth for her shirt =3 m 20 cm =3.20 m 

 Nasreen bought cloth for her trouser =2 m 5 cm=2.05 m 

\[ \displaylines{ 3.20 \\+ 2.05\\ \text{___________}\\5.25 \\ \text{___________}}\] 
∴ The total length of cloth bought by Nasreen is 5.25 m. 

5. Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all? 
Solutions: 
 Distance walked by Naresh in the morning = 2 km 35 m = [(2 + 35/1000)] km = 2.035 km
 
 Distance walked by him in the evening = 1 km 7 m = \([(1 + {7\over 1000})]\) km = 1.007 km 

 The total distance walked by Naresh is \[ \displaylines{ 2.035 \\+ 1.007\\ \text{___________}\\3.042 \\ \text{___________}}\] 

 ∴ The total distance walked by Naresh is 3.042 km. 

6. Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence? 
 Solutions: 
 Distance travelled by bus = 15 km 268 m = \([(15 + {268 \over 1000})]\) km = 15.268 km 

 Distance travelled by car = 7 km 7 m = \([(7 + {7 \over 1000})]\) km = 7.007 km 

 Distance walked by Sunita = 500 m = \({500 \over 1000}\) = 0.500 km 
\[ \displaylines{ 15.268 \\+ 7.007\\+ 0.500 \\ \text{___________}\\22.775 \\ \text{___________}}\]
 ∴ The total distance of the school from her residence is 22.775 km. 

 7. Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases. 
 Solutions: 
 Weight of rice = 5 kg 400 g = \([(5 + {400 \over 1000})]\) kg = 5.400 kg 

 Weight of sugar = 2 kg 20 g = \([(2 + {20 \over 1000})]\) kg = 2.020 kg 

 Weight of flour = 10 kg 850 g = \([(10 + {850 \over 1000})]\) kg = 10.850 kg 

 The total weight of his purchases is \[ \displaylines{ 5.400 \\+ 2.020\\+ 10.850 \\ \text{___________}\\18.270 \\ \text{___________}}\]

 ∴ The total weight of his purchases is 18.270 kg

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