Rearranging Digits Worksheet - Practice forming the largest and smallest numbers from given sets of digits.

Problem Overview:

The task involves rearranging the digits of each given number to form:
1. The largest possible number.
2. The smallest possible number.

Solution Approach:

To solve this, we will:
1. For the largest number: Arrange the digits in descending order.
2. For the smallest number: Arrange the digits in ascending order.
3. Ensure that leading zeros are not included (though none of the given numbers have leading zeros).

Let's solve each part step by step.

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Part 1: Rearrange to Make the Largest Number

#### Instructions:
Rearrange the digits of each number to form the largest possible number.

#### Solutions:
1. 54,855: Digits are `5, 4, 8, 5, 5`. In descending order: 85554.
2. 82,987: Digits are `8, 2, 9, 8, 7`. In descending order: 98872.
3. 99,633: Digits are `9, 9, 6, 3, 3`. In descending order: 99633.
4. 88,136: Digits are `8, 8, 1, 3, 6`. In descending order: 88631.
5. 92,891: Digits are `9, 2, 8, 9, 1`. In descending order: 99821.
6. 18,272: Digits are `1, 8, 2, 7, 2`. In descending order: 87221.
7. 81,126: Digits are `8, 1, 1, 2, 6`. In descending order: 86211.
8. 96,535: Digits are `9, 6, 5, 3, 5`. In descending order: 96553.
9. 37,113: Digits are `3, 7, 1, 1, 3`. In descending order: 73311.
10. 39,753: Digits are `3, 9, 7, 5, 3`. In descending order: 97533.

#### Final Answers for Largest Numbers:
1. 85554
2. 98872
3. 99633
4. 88631
5. 99821
6. 87221
7. 86211
8. 96553
9. 73311
10. 97533

---

Part 2: Rearrange to Make the Smallest Number

#### Instructions:
Rearrange the digits of each number to form the smallest possible number.

#### Solutions:
1. 64,955: Digits are `6, 4, 9, 5, 5`. In ascending order: 45569.
2. 96,741: Digits are `9, 6, 7, 4, 1`. In ascending order: 14679.
3. 67,743: Digits are `6, 7, 7, 4, 3`. In ascending order: 34677.
4. 79,866: Digits are `7, 9, 8, 6, 6`. In ascending order: 66789.
5. 67,617: Digits are `6, 7, 6, 1, 7`. In ascending order: 16677.
6. 16,613: Digits are `1, 6, 6, 1, 3`. In ascending order: 11366.
7. 75,895: Digits are `7, 5, 8, 9, 5`. In ascending order: 55789.
8. 83,241: Digits are `8, 3, 2, 4, 1`. In ascending order: 12348.
9. 76,632: Digits are `7, 6, 6, 3, 2`. In ascending order: 23667.
10. 71,133: Digits are `7, 1, 1, 3, 3`. In ascending order: 11337.

#### Final Answers for Smallest Numbers:
1. 45569
2. 14679
3. 34677
4. 66789
5. 16677
6. 11366
7. 55789
8. 12348
9. 23667
10. 11337

---

Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Largest Numbers:} & 85554, 98872, 99633, 88631, 99821, 87221, 86211, 96553, 73311, 97533 \\
\text{Smallest Numbers:} & 45569, 14679, 34677, 66789, 16677, 11366, 55789, 12348, 23667, 11337
\end{array}
}
\]