Question: Two of these roads have the same length when rounded to the nearest 100 km
What is their length when rounded?
Road Length (km)
A 208
B 364
C 126
D 313
E 193
1. **State the problem:** We need to round the lengths of roads A, B, C, D, and E to the nearest 100 km and find which two roads have the same rounded length.
2. **Recall the rounding rule:** To round to the nearest 100, look at the tens digit:
- If the tens digit is 5 or more, round up.
- If the tens digit is less than 5, round down.
3. **Round each road length:**
- Road A: 208 km
- Tens digit is 0 (less than 5), so round down to $$200$$ km.
- Road B: 364 km
- Tens digit is 6 (5 or more), so round up to $$400$$ km.
- Road C: 126 km
- Tens digit is 2 (less than 5), so round down to $$100$$ km.
- Road D: 313 km
- Tens digit is 1 (less than 5), so round down to $$300$$ km.
- Road E: 193 km
- Tens digit is 9 (5 or more), so round up to $$200$$ km.
4. **Compare rounded lengths:**
- Road A rounds to $$200$$ km.
- Road E rounds to $$200$$ km.
5. **Conclusion:** Roads A and E have the same length when rounded to the nearest 100 km, which is $$200$$ km.