Section A: Basic Understanding
1. What is a decimal? Give one example.
Decimals are one of types of numbers, which has a whole number and the fractional part separated by a decimal(.) point, we write 0.1.
Example: 0.75
2. Convert the fraction 3/8 to a decimal (round to 2 decimal places).
\( 3 \div 8 = 0.375 \approx 0.38 \)
3. Write 7.25 as a mixed fraction in its simplest form.
\( 7 \frac{1}{4} \)
4. What is the place value of 4 in 9.745?
Hundredth place (value: 0.04)
5. Express 0.375 as a fraction in its simplest form.
\( \frac{3}{8} \)
Section B: Comparing and Ordering
6. Compare the following decimals:
- a) \( 0.75 > 0.705 \)
- b) \( 2.3 = 2.30 \)
7. Arrange in ascending order: 1.08, 1.18, 1.05, 1.09
Answer: 1.05, 1.08, 1.09, 1.18
8. Arrange in descending order: 5.35, 5.03, 5.5, 5.15
Answer: 5.5, 5.35, 5.15, 5.03
Section C: Operations with Decimals
9. Add the following decimals:
- a) \( 5.32 + 2.75 = 8.07 \)
- b) \( 8.05 + 1.35 = 9.4 \)
10. Subtract the following decimals:
- a) \( 7.5 - 3.25 = 4.25 \)
- b) \( 12.08 - 4.3 = 7.78 \)
11. Multiply the following:
- a) \( 2.3 \times 4 = 9.2 \)
- b) \( 0.75 \times 6 = 4.5 \)
12. Divide the following:
- a) \( 6.4 \div 2 = 3.2 \)
- b) \( 5.5 \div 0.5 = 11 \)
Section D: Application-Based Questions
13. Cost of 6 chocolate bars at Rs. 3.75 each:
\( 3.75 \times 6 = 22.5 \)
Answer: Rs. 22.5
14. Amount left with Ravi after buying a notebook and pen:
Total spent: \( 6.25 + 3.75 = 10 \)
Amount left: \( 15.5 - 10 = 5.5 \)
Answer: Rs. 5.5
15. Total distance covered by three runners:
\( 2.35 + 3.6 + 4.05 = 10 \) km
Answer: 10 km
Section E: Higher Order Thinking Skills (HOTS)
16. Water left in the tank after using 35.75 liters out of 75.25 liters:
\( 75.25 - 35.75 = 39.5 \) liters
Answer: 39.5 liters
17. Total weight of 4 baskets, each weighing 2.85 kg:
\( 2.85 \times 4 = 11.4 \) kg
Answer: 11.4 kg
18. Total cost of 3.5 meters of cloth at Rs. 52.5 per meter:
\( 3.5 \times 52.5 = 183.75 \)
Answer: Rs. 183.75
**END**
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