write a five digit number(s) that fits each description. use only the digits that the athletes are wearing. use each digit only once in each answer.
The digits on athletes are: 4,1,8,3,6
find all the numbers between 6.129 and 6.381. order them from least to greatest.
It's your turn now. I'll be glad to check your answer.
6.3816
To find all the numbers between 6.129 and 6.381 using the given digits (4, 1, 8, 3, 6) and ensuring that each digit is used only once in each answer, we can follow these steps:
1. Start by identifying the fixed digits: We have 6 as the first digit and the decimal point after it. Since 6.12 is already less than the lower limit of 6.129, we can work with the range of numbers between 6.13 and 6.381.
2. Determine the second digit: The second digit has to be greater than 1 (to exceed 6.12) and less than 3 (to stay below 6.381). The only digit that meets this criteria from the given set is 1.
3. Determine the third digit: The third digit can be any of the remaining available digits (4, 8, 3). Since we are organizing the numbers in ascending order, we will choose the smallest available digit, which is 3.
4. Determine the fourth digit: The fourth digit has to be greater than 1 (to exceed 6.13) and less than 8 (to stay below 6.381). The only remaining digit that fits this criteria is 4.
5. Determine the fifth digit: The fifth digit can be any of the remaining available digits (8, 6). Since we want to arrange the numbers from least to greatest, we will choose the smallest remaining digit, which is 6.
Therefore, the five-digit numbers that fit the description and are between 6.129 and 6.381 when using each given digit only once are:
1. 6.13486
2. 6.13684
3. 6.14386
4. 6.14836
5. 6.16348
6. 6.18346
7. 6.31486
8. 6.31684
9. 6.34186
10. 6.34816
Note: These are all the possible combinations based on the given criteria.