To solve the problem of rounding a distance of 138.672 kilometers to the nearest 100 meters, we will take the following steps:
1. Understand the measurement units:
- 1 kilometer (km) is equal to 1000 meters (m).
- 100 meters is 0.1 kilometers.
2. Identify the rounding requirement:
- We need to round the given distance (138.672 km) to the nearest 0.1 kilometers, because 0.1 km is equivalent to 100 meters.
3. Round the number:
- The distance given is 138.672 km.
- To round to the nearest 0.1 km, we look at the first digit after the decimal point (which is 6 in this case).
- If the digit is 5 or greater, we round up the preceding digit.
- If the digit is less than 5, we round down the preceding digit.
4. Perform the rounding:
- Here, the digit after the decimal point is 6, which is greater than 5.
- Thus, we round the preceding digit (7 in 138.672's decimal place) up to 7. The number before the decimal point (138) remains the same.
5. Conclusion:
- Therefore, 138.672 km rounded to the nearest 0.1 kilometers (or the nearest 100 meters) is 138.7 kilometers.
Hence, the answer is 138.7 kilometers.
