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Math worksheet on problem solving with metric units, focusing on calculating and comparing distances from a fictional round-the-world trip.

A math worksheet titled "Problem Solving - Travelling Salamanders (Metric Units)" featuring a table of distances between cities, with questions on rounding, ordering, and comparing distances.

A math worksheet titled "Problem Solving - Travelling Salamanders (Metric Units)" featuring a table of distances between cities, with questions on rounding, ordering, and comparing distances.

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Show Answer Key & Explanations Step-by-step solution for: 4th Grade Math Word Problems
Let’s solve each part of the “Travelling Salamanders” problem step by step.

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



We need to round each distance to the nearest 100 km.

- Los Angeles → Tokyo: 8807 → Look at the tens digit (0). Since it’s less than 5, round down → 8800
- Tokyo → Bombay: 6741 → Tens digit is 4 → Round down → 6700
- Bombay → Athens: 5173 → Tens digit is 7 → Round up → 5200
- Athens → Paris: 2096 → Tens digit is 9 → Round up → 2100
- Paris → London: 343 → Tens digit is 4 → Round down → 300
- London → Washington DC: 5899 → Tens digit is 9 → Round up → 5900

So the completed column is:

| 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 all the actual distances (not rounded):

- 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:

Shortest to Longest:

343 — 2096 — 3693 — 5173 — 5899 — 6741 — 8807

*(Label: 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 distances:

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

Total = 8807 + 6741 + 5173

First: 8807 + 6741 = 15548

Then: 15548 + 5173 = 20721 km

Answer: 20721 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

10 × 343 = 3430

Is 3693 > 3430? → Yes

Answer: Yes

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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 calculate the total distance traveled *up to Bombay*:

That includes:
- Washington DC → Los Angeles: 3693
- Los Angeles → Tokyo: 8807
- Tokyo → Bombay: 6741

Total = 3693 + 8807 + 6741

Step 1: 3693 + 8807 = 12500

Step 2: 12500 + 6741 = 19241 km

Is 19241 > 20,000? → No

Answer: No, he is not right. They have traveled 19,241 km, which is less than 20,000 km.

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## Final Answers Summary:

1) Rounded distances:
8800, 6700, 5200, 2100, 300, 5900

2) Shortest to longest:
343 — 2096 — 3693 — 5173 — 5899 — 6741 — 8807

3) 1480 km

4) 20721 km

5) Yes

6) No

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