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Answer :
To determine a reasonable estimate for the total length of the trench Eli dug over two days, let's analyze the situation step-by-step:
1. Length Dug on Each Day:
- On the first day, Eli dug a trench that was [tex]\(\frac{18}{20}\)[/tex] of a meter, which is equivalent to 0.9 meters.
- On the second day, he dug [tex]\(\frac{17}{20}\)[/tex] of a meter, equivalent to 0.85 meters.
2. Total Length of the Trench:
- To find the total length, we simply add the lengths from both days together:
[tex]\[
0.9 \, \text{meters} + 0.85 \, \text{meters} = 1.75 \, \text{meters}.
\][/tex]
3. Estimating the Total Length:
- When we look at the total length, which is 1.75 meters, we need to choose an estimate that is closest to this value from the given options.
- The options provided are [tex]\(\frac{1}{2}\)[/tex] meter, 1 meter, [tex]\(1 \frac{1}{2}\)[/tex] meters, and 2 meters.
- Since 1.75 meters is closest to 2 meters among the options, the most reasonable estimate of the total length of the trench is 2 meters.
Therefore, the best estimate for the total length of the trench Eli dug is 2 meters.
1. Length Dug on Each Day:
- On the first day, Eli dug a trench that was [tex]\(\frac{18}{20}\)[/tex] of a meter, which is equivalent to 0.9 meters.
- On the second day, he dug [tex]\(\frac{17}{20}\)[/tex] of a meter, equivalent to 0.85 meters.
2. Total Length of the Trench:
- To find the total length, we simply add the lengths from both days together:
[tex]\[
0.9 \, \text{meters} + 0.85 \, \text{meters} = 1.75 \, \text{meters}.
\][/tex]
3. Estimating the Total Length:
- When we look at the total length, which is 1.75 meters, we need to choose an estimate that is closest to this value from the given options.
- The options provided are [tex]\(\frac{1}{2}\)[/tex] meter, 1 meter, [tex]\(1 \frac{1}{2}\)[/tex] meters, and 2 meters.
- Since 1.75 meters is closest to 2 meters among the options, the most reasonable estimate of the total length of the trench is 2 meters.
Therefore, the best estimate for the total length of the trench Eli dug is 2 meters.
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