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Answer :
To find a reasonable estimate of the total length of the trench that Eli dug over two days, let's break it down step-by-step:
1. First Day's Work:
- Eli dug [tex]\(\frac{18}{20}\)[/tex] of a meter.
- In decimal form, this is 0.9 meters.
2. Second Day's Work:
- Eli dug an additional [tex]\(\frac{17}{20}\)[/tex] of a meter.
- In decimal form, this is 0.85 meters.
3. Calculate the Total Length:
- Add the lengths from both days:
[tex]\[
0.9 \, \text{meters} + 0.85 \, \text{meters} = 1.75 \, \text{meters}
\][/tex]
4. Estimating the Total Length:
- The calculated total is 1.75 meters.
- When estimating, it is reasonable to round 1.75 up to the nearest whole number, which is 2 meters.
Therefore, a reasonable estimate of the total length Eli dug is 2 meters.
1. First Day's Work:
- Eli dug [tex]\(\frac{18}{20}\)[/tex] of a meter.
- In decimal form, this is 0.9 meters.
2. Second Day's Work:
- Eli dug an additional [tex]\(\frac{17}{20}\)[/tex] of a meter.
- In decimal form, this is 0.85 meters.
3. Calculate the Total Length:
- Add the lengths from both days:
[tex]\[
0.9 \, \text{meters} + 0.85 \, \text{meters} = 1.75 \, \text{meters}
\][/tex]
4. Estimating the Total Length:
- The calculated total is 1.75 meters.
- When estimating, it is reasonable to round 1.75 up to the nearest whole number, which is 2 meters.
Therefore, a reasonable estimate of the total length Eli dug is 2 meters.
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