Students can practice Telangana 6th Class Maths Textbook Solutions Chapter 7 Fractions and Decimals Ex 7.5 to get the best methods of solving problems.
TS 6th Class Maths Solutions Chapter 7 Fractions and Decimals Exercise 7.5
Question 1.
Sonu went to a shop. He wanted to buy a chiki and a toffee. One chiki costs ₹ 0.75 and a toffee costs ₹ 0.50. If he buys one each of them how much he has to pay to the shopkeeper. Sonu’s mother gave him ₹ 2. How much he will get in return? Suppose if his mother gave him ₹ 5, then how much will the shopkeeper return ?
Answer:
Cost of one chiki is ₹ 0.75
Cost of one toffee is₹ 0.50
Cost of one chiki and one toffee
= ₹ 0.75 + ₹ 0.50
= \(\frac{75}{100}+\frac{50}{100}=\frac{125}{100}\) = ₹ 1.25
The amount to be paid to the shop-keeper by Sonu = ₹ 1.25
Amount given to Sonu by his mother
= ₹ 2.00
The amount Sonu will get in return
= ₹ 2.00 – ₹ 1.25 = ₹ 0.75
If Rs. 5 is given by his mother, the amount returned by shopkeeper.
= ₹ 5.00 – ₹ 1.25 = ₹ 3.75
₹ 3.75 will the shopkeeper return.
Question 2.
Add the following decimal fractions,
i) 25.11 + 3.80
ii) 14.01 + 1.1 + 1.98
iii) 9.85 + 0.61
iv) 2.3 + 18.94
v) 2.57+ 3.75
Answer:
i) 25.11 + 3.80
| Tens place | Ones place | Tenths place | Hundredths place |
| 2 | 5 | 1 | 1 |
| (+) | . 3 | 8 | 0 |
| 2 | 8 | 9 | 1 |
∴ 25.11 + 3.80 = 28.91
ii) 14.01 + 1.1 + 1.98
| Tens place | Ones place | Tenths place | Hundredths place |
| 1 | 4 | 0 | 1 |
| (+) | 1 | 1 | |
| (+) | 1 | 9 | 8 |
| 1 | 7 | 0 | 9 |
∴ 14.01 + 1.1 + 1.98 = 17.09
iii) 9.85 + 0.61
| Tens place | Ones place | Tenths place | Hundredths place |
| 9 | 8 | 5 | |
| (+) | 0 | 6 | 1 |
| 10 | 4 | 6 |
∴ 9.85 + 0.61 = 10.46
iv) 2.3 + 18.94
| Tens place | Ones place | Tenths place | Hundredths place |
| 2 | 3 | 0 | |
| (+)1 | 8 | 9 | 4 |
| 2 | 1 | 2 | 4 |
∴ 2.3 + 18.94 = 21.24
v) 2.57 + 3.75
| Tens place | Ones place | Tenths place | Hundredths place |
| 2 | 5 | 7 | |
| (+) | 3 | 7 | 5 |
| 6 | 3 | 2 |
∴ 2.57 + 3.75 = 6.32
Question 3.
Abhishek travelled 5 km. 28 m. by bus, 2 km. 265 m. by car and the rest 1 km. 30 m. on foot. How much distance did he travel in all ?
Answer:
Abhishek travelled a distance by bus-= 5 km. 28m
Abhishek travelled a distance by car = 2 km. 265 m
Abhishek travelled a distance by foot = 1 km. 30 m
∴ Total distance did he travel in all = 5 km.
28 m + 2 km. 265 m + 1 km.30 m = 8 km. 323 m.
Question 4.
Mrs.Vykuntam bought 6.25 m of dress material for her elder daughter and 5.75 m for the younger one. How much dress material did she buy for her daughters ?
Answer:
Dress material for elder daughter
= 6.25 m
Dress material for younger one
= 5.75 m
∴ Total dress material bought for two daughters
= 6.25 m + 5.75 m
= 12 m.