Rounding numbers to the nearest 10 and 100 with a fun doctor theme.

Problem Description:

The task involves rounding numbers to the nearest 10 and the nearest 100. Here's a breakdown of the steps required to solve each part:

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Rounding Rules:

1. Rounding to the Nearest 10:
- Look at the digit in the ones place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.

2. Rounding to the Nearest 100:
- Look at the digit in the tens place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.

---

Solution:

#### Part 1: Round to the Nearest 10
1. 45: The ones digit is 5. Round up → 50
2. 67: The ones digit is 7. Round up → 70
3. 82: The ones digit is 2. Round down → 80
4. 39: The ones digit is 9. Round up → 40
5. 74: The ones digit is 4. Round down → 70
6. 12: The ones digit is 2. Round down → 10
7. 93: The ones digit is 3. Round down → 90
8. 44: The ones digit is 4. Round down → 40
9. 25: The ones digit is 5. Round up → 30
10. 65: The ones digit is 5. Round up → 70

#### Part 2: Round to the Nearest 100
11. 350: The tens digit is 5. Round up → 400
12. 220: The tens digit is 2. Round down → 200
13. 863: The tens digit is 6. Round up → 900
14. 949: The tens digit is 4. Round down → 900
15. 667: The tens digit is 6. Round up → 700
16. 150: The tens digit is 5. Round up → 200
17. 744: The tens digit is 4. Round down → 700
18. 368: The tens digit is 6. Round up → 400
19. 136: The tens digit is 3. Round down → 100
20. 650: The tens digit is 5. Round up → 700

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Final Answer:

\[
\begin{array}{ll}
\text{Round to nearest 10:} & \text{Round to nearest 100:} \\
1. 45 \to \boxed{50} & 11. 350 \to \boxed{400} \\
2. 67 \to \boxed{70} & 12. 220 \to \boxed{200} \\
3. 82 \to \boxed{80} & 13. 863 \to \boxed{900} \\
4. 39 \to \boxed{40} & 14. 949 \to \boxed{900} \\
5. 74 \to \boxed{70} & 15. 667 \to \boxed{700} \\
6. 12 \to \boxed{10} & 16. 150 \to \boxed{200} \\
7. 93 \to \boxed{90} & 17. 744 \to \boxed{700} \\
8. 44 \to \boxed{40} & 18. 368 \to \boxed{400} \\
9. 25 \to \boxed{30} & 19. 136 \to \boxed{100} \\
10. 65 \to \boxed{70} & 20. 650 \to \boxed{700} \\
\end{array}
\]

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Explanation:

- For rounding to the nearest 10, we focus on the ones place to decide whether to round up or down.
- For rounding to the nearest 100, we focus on the tens place to make the decision.
- Each step follows the basic rule of checking if the relevant digit is 5 or greater (round up) or less than 5 (round down).

Thus, the final boxed answers are:
\[
\boxed{
\begin{array}{ll}
50 & 400 \\
70 & 200 \\
80 & 900 \\
40 & 900 \\
70 & 700 \\
10 & 200 \\
90 & 700 \\
40 & 400 \\
30 & 100 \\
70 & 700 \\
\end{array}
}
\]