what is the value of 8 in the largest even number using the nine digit number without repeating?
To find the largest even number using a nine-digit number without repeating any of the digits, we first need to understand the possible values for the other digits.
Since there are a total of nine digits in the number, one of them must be 8. The remaining eight digits can be selected from the other possible values: 1, 2, 3, 4, 5, 6, 7, and 9.
To create the largest even number, we need to place the largest digit in the most significant position, which is the leftmost position. In this case, the largest digit is 9.
So, we can construct the largest even number as follows: 9 _ _ _ _ _ _ _ 8.
Now, let's determine the values for the remaining seven digits. Since we cannot repeat any of the digits, we have seven options left: 1, 2, 3, 4, 5, 6, and 7.
To maximize the value, we need to place the next largest digit after 9, which is 7, in the second leftmost position.
The number now looks like this: 9 7 _ _ _ _ _ _ 8.
Continuing in this manner, we place the digits in descending order from left to right, without repeating any of the digits:
9 7 6 5 4 3 2 1 8.
Therefore, the largest even number using the nine-digit number without repeating any digits is 976543218.