Math worksheet for problem-solving involving rounding distances and comparing travel routes between cities.

Let's solve each part of the problem step by step.

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Given Table:

| From | To | Distance (miles) | Distance to nearest 100 miles |
|------------------|--------------|------------------|-------------------------------|
| Washington DC | Los Angeles | 2295 | 2300 |
| Los Angeles | Tokyo | 5472 | ? |
| Tokyo | Bombay | 4189 | ? |
| Bombay | Athens | 3214 | ? |
| Athens | Paris | 1302 | ? |
| Paris | London | 213 | ? |
| London | Washington DC| 3665 | ? |

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

We round each distance to the nearest 100 miles:

- 2295 → 2300 (already given)
- 5472 → 5500 (since 5472 is closer to 5500 than 5400)
- 4189 → 4200 (closer to 4200 than 4100)
- 3214 → 3200 (closer to 3200 than 3300)
- 1302 → 1300 (closer to 1300 than 1400)
- 213 → 200 (closer to 200 than 300)
- 3665 → 3700 (closer to 3700 than 3600)

Now fill the table:

| From | To | Distance (miles) | Distance to nearest 100 miles |
|------------------|--------------|------------------|-------------------------------|
| Washington DC | Los Angeles | 2295 | 2300 |
| Los Angeles | Tokyo | 5472 | 5500 |
| Tokyo | Bombay | 4189 | 4200 |
| Bombay | Athens | 3214 | 3200 |
| Athens | Paris | 1302 | 1300 |
| Paris | London | 213 | 200 |
| London | Washington DC| 3665 | 3700 |

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

List the original distances and sort them:

- 213 (Paris → London)
- 1302 (Athens → Paris)
- 2295 (Washington DC → Los Angeles)
- 3214 (Bombay → Athens)
- 3665 (London → Washington DC)
- 4189 (Tokyo → Bombay)
- 5472 (Los Angeles → Tokyo)

So, ordered from shortest to longest:

213, 1302, 2295, 3214, 3665, 4189, 5472

Fill in:

```
______ ______ ______ ______ ______ ______ ______
shortest longest
```

Answer:
213, 1302, 2295, 3214, 3665, 4189, 5472

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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 = 3214 miles
- Washington DC → Los Angeles = 2295 miles

Difference = 3214 - 2295 = 919 miles

✔ Answer: 919 miles

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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 = 5472
- Tokyo → Bombay = 4189
- Bombay → Athens = 3214

Total = 5472 + 4189 + 3214

Calculate:

5472 + 4189 = 9661
9661 + 3214 = 12,875 miles

✔ Answer: 12,875 miles

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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 = 2295 miles
- Paris → London = 213 miles

10 × 213 = 2130

Is 2295 > 2130? Yes!

✔ So, yes, Tyger is right.

Answer: Yes

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6) When arriving at Bombay, Tyger says 'So far we have travelled over 12,000 miles.' Is he right?

We need to sum all distances up to Bombay:

Path:
1. Washington DC → Los Angeles = 2295
2. Los Angeles → Tokyo = 5472
3. Tokyo → Bombay = 4189

Total = 2295 + 5472 + 4189

Calculate:

2295 + 5472 = 7767
7767 + 4189 = 11,956 miles

Is 11,956 > 12,000? No — it's less than 12,000.

✔ So, no, Tyger is not right.

Answer: No

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✔ Final Answers:

1) Filled table (see above)
2) 213, 1302, 2295, 3214, 3665, 4189, 5472
3) 919 miles
4) 12,875 miles
5) Yes
6) No

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