Decimal word problems worksheet for practicing arithmetic with decimals.

Let's solve each of the decimal word problems step by step.

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1. Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?

Solution:
Total marks = 600
Marks obtained = 452.65
Marks lost = Total marks – Marks obtained
= 600 – 452.65
= 147.35

✔ Answer: Aaron lost 147.35 marks.

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2. Trisha took 3.25 minutes to complete the race and Rachel took 3.207 minutes to complete the race. Who won the race?

Solution:
In races, the person with the lesser time wins.

Compare:
- Trisha: 3.25 minutes
- Rachel: 3.207 minutes

To compare, write both with same decimal places:
- 3.250 vs 3.207

Since 3.207 < 3.250, Rachel took less time.

✔ Answer: Rachel won the race.

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3. A car travels 367.80 km in 6 hours. How much distance will it travel in 1 hour?

Solution:
Distance in 6 hours = 367.80 km
So, distance in 1 hour = Total distance ÷ Time
= 367.80 ÷ 6
= 61.3 km

✔ Answer: The car travels 61.3 km in 1 hour.

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4. The weight of a box is 150.094 kg. What will be the weight of 27 such boxes?

Solution:
Weight of one box = 150.094 kg
Weight of 27 boxes = 150.094 × 27

Let’s compute:

First, multiply:
150.094 × 27
= (150 × 27) + (0.094 × 27)
= 4050 + 2.538
= 4052.538 kg

✔ Answer: The weight of 27 boxes is 4052.538 kg.

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5. A spool of thread has a thread measuring 86.50 m. If 42.33 m thread has been cut, what length of thread is still left in the spool?

Solution:
Total length = 86.50 m
Length cut = 42.33 m
Length left = 86.50 – 42.33
= 44.17 m

✔ Answer: 44.17 meters of thread is still left.

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✔ Final Answers Summary:

1. 147.35 marks lost
2. Rachel won the race
3. 61.3 km in 1 hour
4. 4052.538 kg for 27 boxes
5. 44.17 m thread left

Let me know if you'd like these explained visually or with diagrams!