Help Need help isbn 10 example and problem solving

[SOWHAT0819]

isbn 10 example and problem solving

Give me 5 different examples and solutions with explainations

 

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Sure! Here are five different examples of ISBN-10 numbers along with their solutions and explanations:

Example 1:
ISBN-10: 0-306-40615-2

Solution: To validate this ISBN-10 number, we follow these steps:
1. Multiply each digit by its position value (from left to right): 0x10 + 3x9 + 0x8 + 6x7 + 4x6 + 0x5 + 6x4 + 1x3 + 5x2 + 2x1 = 0 + 27 + 0 + 42 + 24 + 0 + 24 + 3 + 10 + 2 = 132.
2. Take the sum from step 1 modulo 11: 132 % 11 = 0.
3. If the result from step 2 is 0, then the ISBN-10 is valid. Otherwise, it is not.

Explanation: In this example, the ISBN-10 is valid since the result of step 2 is 0.

Example 2:
ISBN-10: 1-56389-858-X

Solution:
1. Multiply each digit by its position value: 1x10 + 5x9 + 6x8 + 3x7 + 8x6 + 9x5 + 8x4 + 5x3 + 8x2 + 10x1 = 10 + 45 + 48 + 21 + 48 + 45 + 32 + 15 + 16 + 10 = 250.
2. Take the sum from step 1 modulo 11: 250 % 11 = 4.
3. Since the result from step 2 is not 0, the ISBN-10 is not valid.

Explanation: The given ISBN-10 is not valid because the result of step 2 is 4, not 0.

Example 3:
ISBN-10: 1-23456-789-0

Solution:
1. Multiply each digit by its position value: 1x10 + 2x9 + 3x8 + 4x7 + 5x6 + 6x5 + 7x4 + 8x3 + 9x2 + 0x1 = 10 + 18 + 24 + 28 + 30 + 30 + 28 + 24 + 18 + 0 = 210.
2. Take the sum from step 1 modulo 11: 210 % 11 = 1.
3. Since the result from step 2 is not 0, the ISBN-10 is not valid.

Explanation: The given ISBN-10 is not valid because the result of step 2 is 1, not 0.

Example 4:
ISBN-10: 2-598-21476-9

Solution:
1. Multiply each digit by its position value: 2x10 + 5x9 + 9x8 + 8x7 + 2x6 + 1x5 + 4x4 + 7x3 + 6x2 + 9x1 = 20 + 45 + 72 + 56 + 12 + 5 + 16 + 21 + 12 + 9 = 268.
2. Take the sum from step 1 modulo 11: 268 % 11 = 1.
3. Since the result from step 2 is not 0, the ISBN-10 is not valid.

Explanation: The given ISBN-10 is not valid because the result of step 2 is 1, not 0.

Example 5:
ISBN-10: 3-540-01382-4

Solution:
1. Multiply each digit by its position value: 3x10 + 5x9 + 4x8 + 0x7 + 0x6 + 1x5 + 3x4 + 8x3 + 2x2 + 4x1 = 30 + 45 + 32 + 0 + 0 + 5 + 12 + 24 + 4 + 4 = 156.
2. Take the sum from step 1 modulo 11: 156 % 11 = 5.
3. Since the result from step 2 is not 0, the ISBN-10 is not valid.

Explanation: The given ISBN-10 is not valid because the result of step 2 is 5, not 0.

In summary, out of the five examples provided, only the first ISBN-10 number (0-306-40615-2) is valid. The rest are invalid due to their respective results in step 2 not being equal to 0.