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Round the area of each country to the nearest tenth of a square mile.

[tex]
\[
\begin{array}{|r|l|c|c|}
\hline
\multicolumn{2}{|c|}{\text{Ten Smallest Countries}} & \text{Area in Square Miles} & \text{Area Rounded to the Nearest Tenth of a Square Mile} \\
\hline
1 & \text{Vatican City} & 0.17 \, mi^2 & 0.2 \, mi^2 \\
\hline
2 & \text{Monaco} & 0.75 \, mi^2 & 0.8 \, mi^2 \\
\hline
3 & \text{Nauru} & 8.11 \, mi^2 & 8.1 \, mi^2 \\
\hline
4 & \text{Tuvalu} & 10.04 \, mi^2 & 10.0 \, mi^2 \\
\hline
5 & \text{San Marino} & 23.63 \, mi^2 & 23.6 \, mi^2 \\
\hline
6 & \text{Liechtenstein} & 61.78 \, mi^2 & 61.8 \, mi^2 \\
\hline
7 & \text{St. Kitts and Nevis} & 100.77 \, mi^2 & 100.8 \, mi^2 \\
\hline
8 & \text{Maldives} & 115.83 \, mi^2 & 115.8 \, mi^2 \\
\hline
9 & \text{Malta} & 122.01 \, mi^2 & 122.0 \, mi^2 \\
\hline
10 & \text{Grenada} & 132.82 \, mi^2 & 132.8 \, mi^2 \\
\hline
\end{array}
\]
[/tex]

Answer :

To solve the problem of rounding the area of each country to the nearest tenth of a square mile, we follow these steps:

1. Understand the concept of rounding: Rounding to the nearest tenth means you look at the hundredths place (the second digit after the decimal point). If it's 5 or more, you round up the tenths place (the first digit after the decimal point). If it's less than 5, you leave the tenths place as is.

2. Apply the rounding rules to each country's area: Let's go through each one:

- Vatican City: The area is 0.17 square miles.
- The hundredths digit is 7, which is greater than 5. Therefore, we round up 0.1 to 0.2.

- Monaco: The area is 0.75 square miles.
- The hundredths digit is 5. According to the rule, we round up from 0.7 to 0.8.

- Nauru: The area is 8.11 square miles.
- The hundredths digit is 1, which is less than 5. Hence, it stays 8.1.

- Tuvalu: The area is 10.04 square miles.
- The hundredths digit is 4, which is less than 5. So, it remains 10.0.

- San Marino: The area is 23.63 square miles.
- The hundredths digit is 3, which is less than 5. Thus, it stays 23.6.

- Liechtenstein: The area is 61.78 square miles.
- The hundredths digit is 8, which is greater than 5. Therefore, we round up to 61.8.

- St. Kitts and Nevis: The area is 100.77 square miles.
- The hundredths digit is 7, which is greater than 5. Hence, it rounds up to 100.8.

- Maldives: The area is 115.83 square miles.
- The hundredths digit is 3, which is less than 5. It remains 115.8.

- Malta: The area is 122.01 square miles.
- The hundredths digit is 1, which is less than 5. So, it stays 122.0.

- Grenada: The area is 132.82 square miles.
- The hundredths digit is 2, which is less than 5. Therefore, it remains 132.8.

3. Present the rounded values in a table format:

[tex]\[
\begin{array}{|r|l|c|}
\hline
\text{Country} & \text{Area Rounded to the Nearest Tenth} \\
\hline
\text{Vatican City} & 0.2 \\
\hline
\text{Monaco} & 0.8 \\
\hline
\text{Nauru} & 8.1 \\
\hline
\text{Tuvalu} & 10.0 \\
\hline
\text{San Marino} & 23.6 \\
\hline
\text{Liechtenstein} & 61.8 \\
\hline
\text{St. Kitts and Nevis} & 100.8 \\
\hline
\text{Maldives} & 115.8 \\
\hline
\text{Malta} & 122.0 \\
\hline
\text{Grenada} & 132.8 \\
\hline
\end{array}
\][/tex]

This solution provides the rounded area of each country to the nearest tenth of a square mile.

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