Final answer:
The check digit in the number 6 39382 00039 3 is 3.
Step-by-step explanation:
The check digit in the number 6 39382 00039 3 can be found using the Luhn algorithm. This algorithm is commonly used to validate identification numbers such as credit card numbers or ISBN numbers. To find the check digit, we need to sum the digits in the odd positions and multiply them by 3. Then, we sum the digits in the even positions. The check digit is the number that, when added to the sum of the previous calculations, results in a multiple of 10.
In this case, the sum of the odd-positioned digits is 3+9+8+0+0+3 = 23. Multiplying this by 3 gives us 69. The sum of the even-positioned digits is 6+3+8+2+0+0+9 = 28. Adding this to 69 gives us 97. Since 97 is not a multiple of 10, we need to find the next multiple of 10, which is 100. Therefore, the check digit in the number 6 39382 00039 3 is 100 - 97 = 3.