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Decimal word problems worksheet with five real-life math scenarios requiring decimal arithmetic.

A worksheet titled "Decimal Word Problems" featuring five math problems involving decimals, such as calculating weight, distance, length, time, and marks.

A worksheet titled "Decimal Word Problems" featuring five math problems involving decimals, such as calculating weight, distance, length, time, and marks.

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Show Answer Key & Explanations Step-by-step solution for: Decimal Word Problems - Teach On
Here’s the step-by-step solution to each of the 5 decimal word problems:

---

Q1. The weight of one box is 50.35 Kg. How much will be the weight of 23 such boxes?

Solution:
To find the total weight of 23 boxes, multiply the weight of one box by 23.

> 50.35 × 23

Let’s compute:

```
50.35
× 23
--------
151.05 ← 50.35 × 3
+1007.00 ← 50.35 × 20 (shifted one place left)
--------
1158.05
```

Answer: 1158.05 Kg

---

Q2. A car travels 280.54 Km in 5 hours. How much distance will it travel in one hour?

Solution:
This is asking for the average speed per hour → divide total distance by total time.

> 280.54 ÷ 5

Let’s compute:

```
280.54 ÷ 5 = 56.108
```

Answer: 56.108 Km per hour

---

Q3. A spool of thread measures 85.80 m. If 42.88 m thread is cut off, what length of the thread is left out?

Solution:
Subtract the cut-off length from the original length.

> 85.80 - 42.88

Align decimals:

```
85.80
- 42.88
-------
42.92
```

Answer: 42.92 m

---

Q4. Ayaan took 5.25 minutes to finish the race and Bhavisha took 5.20 minutes to finish the race. Who won the race and by how much?

Solution:
In racing, the person who takes less time wins.

Compare:
Ayaan = 5.25 min
Bhavisha = 5.20 min → less time → winner

Difference = 5.25 - 5.20 = 0.05 minutes

Answer: Bhavisha won the race by 0.05 minutes

*(You could also say “by 3 seconds”, since 0.05 × 60 = 3 seconds — but the question asks for decimal minutes, so 0.05 min is fine.)*

---

Q5. Aman scored 447.5 marks out of 500 in the final examination. How many marks did he loose?

Solution:
Marks lost = Total possible marks – Marks obtained

> 500 - 447.5 = 52.5

Answer: 52.5 marks

---

## Final Answers Summary:

- Q1: 1158.05 Kg
- Q2: 56.108 Km/hour
- Q3: 42.92 m
- Q4: Bhavisha won by 0.05 minutes
- Q5: 52.5 marks

Let me know if you’d like these explained with diagrams or visual steps!
Parent Tip: Review the logic above to help your child master the concept of word problems with decimals worksheet.
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