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.
---
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:
\[
\boxed{
\begin{array}{ll}
\text{Largest Numbers:} & 85554, 98872, 99633, 88631, 99821, 87221, 86211, 96553, 73311, 97533 \\
\text{Smallest Numbers:} & 45569, 14679, 34677, 66789, 16677, 11366, 55789, 12348, 23667, 11337
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value worksheet in words.
