Using the digits 8, 1, 5, 7, 4, 0, 2,  and 3 only ones, what is the list number that you can form that is greater than 85,246,737?

To solve the problem, we need to form the largest possible number greater than 85,246,737 using the digits 8, 1, 5, 7, 4, 0, 2, and 3, each exactly once. Here's the approach:

1. **Arrange the digits in descending order**: Start with the largest digit and place it in the most significant position until we form a number greater than 85,246,737.

2. **Start forming the number**:
   - The first digit should be 8 since it's the largest, and we need a number greater than 85 million.
   - The second digit should be higher than 5 if possible. However, since 8 is already the largest digit, the next option is 7.
   - Now we have **87**, which is already greater than 85.

3. **Continue with the largest remaining digits**:
   - After using 8 and 7, the remaining digits are 1, 5, 4, 0, 2, 3.
   - Continue forming the largest number: 8, 7, 5, 4, 3, 2, 1, 0.

4. **Form the number**: 
   - By arranging the remaining digits, the largest number we can form is **87,543,210**.

Since **87,543,210** is greater than 85,246,737 and uses each digit only once, this is the largest possible number you can form under the given conditions.

Would you like more details, or do you have any questions?  

Here are 8 related questions to consider:
1. What is the smallest number greater than 85,246,737 that you can form with the digits provided?
2. How would the result change if one additional digit were allowed?
3. What if the number needed to be less than 85,246,737?
4. How would the approach differ if duplicate digits were allowed?
5. What if you were asked to create the smallest possible number with the same digits?
6. How many different numbers can you form using all the digits provided?
7. How would the problem change if the digits needed to sum to a specific value?
8. What is the largest odd number you can form with the digits provided?

**Tip:** When arranging digits to form the largest possible number, always start with the highest digits in the most significant places.

Learn how to form the largest number greater than 85,246,737 using the digits 8, 1, 5, 7, 4, 0, 2, and 3 exactly once. This problem involves number theory and permutations and combinations concepts. Suitable for students in Grades 6-8.

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