What's new

Help Need 5 examples and questions isbn 13 example and problem solvingNeed steps. Step by step solution!!!

Sure! Here are five examples of ISBN-13 problems and their step-by-step solutions:

Example 1:
Question: Determine the check digit for the ISBN-13 number 9780141036144.
Solution:
Step 1: Multiply each digit of the ISBN-13 number by 1 or 3 alternately, starting with 1.
9 x 1 + 7 x 3 + 8 x 1 + 0 x 3 + 1 x 1 + 0 x 3 + 3 x 1 + 6 x 3 + 1 x 1 + 4 x 3 + 4 x 1 = 96
Step 2: Take the remainder of the sum obtained in step 1 divided by 10. If the remainder is 0, the check digit is 0; otherwise, subtract the remainder from 10 to obtain the check digit.
Check digit = 10 - (96 % 10) = 10 - 6 = 4
Therefore, the check digit for the ISBN-13 number 9780141036144 is 4.

Example 2:
Question: Find the missing digit in the ISBN-13 number 97801324?614.
Solution:
Step 1: Multiply each digit of the ISBN-13 number by 1 or 3 alternately, starting with 1.
9 x 1 + 7 x 3 + 8 x 1 + 0 x 3 + 1 x 1 + 3 x 3 + 2 x 1 + 4 x 3 + ? x 1 + 6 x 3 + 1 x 1 + 4 x 3 = 99 + 84 + ? + 18 + 3 + 12 = 228 + ?
Step 2: Take the sum obtained in step 1 and divide it by 10. If the remainder is 0, the missing digit is 0; otherwise, subtract the remainder from 10 to obtain the missing digit.
Step 3: Solve the equation: 228 + ? ≡ 0 (mod 10)
Step 4: ? ≡ -228 ≡ 2 (mod 10)
Therefore, the missing digit in the ISBN-13 number 97801324?614 is 2.

Example 3:
Question: Determine if the ISBN-13 number 9780141036144 is valid.
Solution:
Step 1: Multiply each digit of the ISBN-13 number by 1 or 3 alternately, starting with 1.
9 x 1 + 7 x 3 + 8 x 1 + 0 x 3 + 1 x 1 + 4 x 3 + 1 x 1 + 0 x 3 + 3 x 1 + 6 x 3 + 1 x 1 + 4 x 3 + 4 x 1 = 96
Step 2: Take the sum obtained in step 1 and divide it by 10. If the remainder is 0, the ISBN-13 number is valid; otherwise, it is not valid.
96 % 10 = 6
Since the remainder is not 0, the ISBN-13 number 9780141036144 is not valid.

Example 4:
Question: Find the missing digit in the ISBN-13 number 978-0-13-24?614-4.
Solution:
Step 1: Remove the hyphens and multiply each digit of the ISBN-13 number by 1 or 3 alternately, starting with 1.
9 x 1 + 7 x 3 + 8 x 1 + 0 x 3 + 1 x 1 + 3 x 3 + 2 x 1 + 4 x 3 + ? x 1 + 6 x 3 + 1 x 1 + 4 x 3 + 4 x 1 = 99 + 84 + ? + 18 + 3 + 12 = 228 + ?
Step 2: Take the sum obtained in step 1 and divide it by 10. If the remainder is 0, the missing digit is 0; otherwise, subtract the remainder from 10 to obtain the missing digit.
Step 3: Solve the equation: 228 + ? ≡ 0 (mod 10)
Step 4: ? ≡ -228 ≡ 2 (mod 10)
Therefore, the missing digit in the ISBN-13 number 978-0-13-24?614-4 is 2.

Example 5:
Question: Determine if the ISBN-13 number 978-0-13-249144-4 is valid.
Solution:
Step 1: Remove the hyphens and multiply each digit of the ISBN-13 number by 1 or 3 alternately, starting with 1.
9 x 1 + 7 x 3 + 8 x 1 + 0 x 3 + 1 x 1 + 3 x 3 + 2 x 1 + 4 x 3 + 9 x 1 + 1 x 3 + 4 x 1 + 4 x 3 + 4 x 1 = 99 + 84 + 27 + 7 + 12 = 229
Step 2: Take the sum obtained in step 1 and divide it by 10. If the remainder is 0, the ISBN-13 number is valid; otherwise, it is not valid.
229 % 10 = 9
Since the remainder is not 0, the ISBN-13 number 978-0-13-249144-4 is not valid.

I hope these step-by-step solutions help you understand how to solve ISBN-13 problems! Let me know if you have any further questions.
 
Back
Top