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Ingrid dug a trench [tex]\frac{18}{20}[/tex] of a meter long. The next day, she dug [tex]\frac{9}{20}[/tex] of a meter more. What is a reasonable estimate of the total length of the trench?

A. [tex]\frac{1}{2}[/tex] meter
B. 1 meter
C. [tex]1 \frac{1}{2}[/tex] meters
D. 2 meters

Answer :

To find the total length of the trench Ingrid dug, we'll add the lengths she dug on each day:

1. On the first day, Ingrid dug [tex]\(\frac{18}{20}\)[/tex] of a meter.

2. The next day, she dug an additional [tex]\(\frac{9}{20}\)[/tex] of a meter.

Now, let's add these two lengths together:

- Convert [tex]\(\frac{18}{20}\)[/tex] to a decimal: [tex]\(0.9\)[/tex] meters.
- Convert [tex]\(\frac{9}{20}\)[/tex] to a decimal: [tex]\(0.45\)[/tex] meters.

Add the two decimals:
[tex]\[ 0.9 + 0.45 = 1.35 \, \text{meters} \][/tex]

So, the total length of the trench is [tex]\(1.35\)[/tex] meters.

To find a reasonable estimate, consider rounding the total length to the closest whole number. [tex]\(1.35\)[/tex] meters rounds to [tex]\(1\)[/tex] meter.

Therefore, a reasonable estimate for the total length of the trench is [tex]\(1\)[/tex] meter.

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