Students help Captain Salamander calculate distances for his round-the-world trip in this metric units problem-solving worksheet.

Let's solve each part of the "Travelling Salamanders (Metric Units)" problem step by step.

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Given Table:

| From | To | Distance (km) | Distance to nearest 100 km |
|-------------------|----------------|---------------|----------------------------|
| Washington DC | Los Angeles | 3693 | 3700 |
| Los Angeles | Tokyo | 8807 | ? |
| Tokyo | Bombay | 6741 | ? |
| Bombay | Athens | 5173 | ? |
| Athens | Paris | 2096 | ? |
| Paris | London | 343 | ? |
| London | Washington DC | 5899 | ? |

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## 1) Fill in the distance to the nearest 100 km column.

We round each distance to the nearest 100 km:

- 3693 km → 3700 km ✔ (already given)
- 8807 km → 8800 km
(since 8807 is closer to 8800 than 8900)
- 6741 km → 6700 km
(6741 is closer to 6700 than 6800)
- 5173 km → 5200 km
(5173 is closer to 5200 than 5100)
- 2096 km → 2100 km
(2096 is closer to 2100 than 2000)
- 343 km → 300 km
(343 is closer to 300 than 400)
- 5899 km → 5900 km
(5899 is closer to 5900 than 5800)

Updated table:

| From | To | Distance (km) | Distance to nearest 100 km |
|-------------------|----------------|---------------|----------------------------|
| Washington DC | Los Angeles | 3693 | 3700 |
| Los Angeles | Tokyo | 8807 | 8800 |
| Tokyo | Bombay | 6741 | 6700 |
| Bombay | Athens | 5173 | 5200 |
| Athens | Paris | 2096 | 2100 |
| Paris | London | 343 | 300 |
| London | Washington DC | 5899 | 5900 |

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## 2) Put the distances in order from shortest to longest.

List the exact distances:

- Paris → London: 343 km
- Athens → Paris: 2096 km
- Washington DC → Los Angeles: 3693 km
- Bombay → Athens: 5173 km
- London → Washington DC: 5899 km
- Tokyo → Bombay: 6741 km
- Los Angeles → Tokyo: 8807 km

Now order them:

1. 343 km (Paris → London)
2. 2096 km (Athens → Paris)
3. 3693 km (Washington DC → Los Angeles)
4. 5173 km (Bombay → Athens)
5. 5899 km (London → Washington DC)
6. 6741 km (Tokyo → Bombay)
7. 8807 km (Los Angeles → Tokyo)

Answer:

```
343 2096 3693 5173 5899 6741 8807
shortest longest
```

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## 3) How much further is the trip from Bombay to Athens than the trip from Washington DC to Los Angeles?

- Bombay → Athens = 5173 km
- Washington DC → Los Angeles = 3693 km

Difference:
5173 - 3693 = 1480 km

✔ Answer: 1480 km

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## 4) What is the total distance from Los Angeles to Tokyo to Bombay to Athens?

Add the three legs:

- Los Angeles → Tokyo: 8807 km
- Tokyo → Bombay: 6741 km
- Bombay → Athens: 5173 km

Total = 8807 + 6741 + 5173

Step-by-step:

- 8807 + 6741 = 15,548
- 15,548 + 5173 = 20,721 km

✔ Answer: 20,721 km

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## 5) Tyger says 'The distance from Washington DC to Los Angeles is more than 10 times the distance from Paris to London.' Is he right?

- Washington DC → Los Angeles = 3693 km
- Paris → London = 343 km

Calculate 10 × 343 = 3430 km

Compare:
Is 3693 > 3430?
Yes, because 3693 - 3430 = 263

So, 3693 km is more than 10 times 343 km.

✔ Answer: Yes, he is right.

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## 6) When arriving at Bombay, Tyger says 'So far we have travelled over 20,000 km.' Is he right?

Let’s add up all distances from start to Bombay, which includes:

1. Washington DC → Los Angeles: 3693 km
2. Los Angeles → Tokyo: 8807 km
3. Tokyo → Bombay: 6741 km

Total = 3693 + 8807 + 6741

Step-by-step:

- 3693 + 8807 = 12,500
- 12,500 + 6741 = 19,241 km

Is 19,241 > 20,000?
No, it’s less than 20,000 km.

So, Tyger is not correct.

✔ Answer: No, he is not right.

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✔ Final Answers Summary:

1) Distance to nearest 100 km:
- 8807 → 8800
- 6741 → 6700
- 5173 → 5200
- 2096 → 2100
- 343 → 300
- 5899 → 5900

2) Order from shortest to longest:
343, 2096, 3693, 5173, 5899, 6741, 8807

3) How much further?
1480 km

4) Total from LA → Tokyo → Bombay → Athens:
20,721 km

5) Is Tyger right about 10×?
Yes

6) Is Tyger right about over 20,000 km?
No

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Let me know if you'd like this as a printable answer sheet!