A surveyor measured the road frontage of a parcel of land and obtained a distance of 

48.9

ft. Based on this​ result, the distance must be between what two​ values?




Given the measurement \( 48.9 \) ft, this value suggests that the measurement was rounded to the nearest tenth of a foot. 

### Therefore, the possible range of the distance would be:

\[
48.9 \text{ ft} \pm 0.05 \text{ ft}
\]

This means:
- **Lower Bound**: \( 48.9 - 0.05 = 48.85 \) ft
- **Upper Bound**: \( 48.9 + 0.05 = 48.95 \) ft

### The distance must be between:
\[
48.85 \text{ ft} \text{ and } 48.95 \text{ ft}
\]

Would you like more details or have any questions?

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Here are some related questions to explore:
1. How does rounding affect precision in measurements?
2. What are the rules for rounding in measurement?
3. How can you estimate the accuracy of a measurement?
4. What is the difference between precision and accuracy in surveying?
5. How does measurement uncertainty affect engineering calculations?

**Tip:** Always consider the degree of precision when interpreting measurements, especially in fields like surveying where small differences can be significant.

Explore how measurement precision affects surveying calculations with an example of road frontage measurement rounded to the nearest tenth of a foot (48.9 ft). Learn about rounding rules in measurement and estimate measurement accuracy. Suitable for Grades 6-8.

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