#83 The Luhn Algorithm

The Luhn algorithm or Luhn formula, also known as the modulus 10″ or “mod 10” algorithm, was developed in the 1960s as a method of validating whether or not identification numbers provided by a user are accurate.

Spark your math thinking!

  1. Set up your math mini spark recording page: #83 The Luhn Algorithm
  2. Look over this chart.   What do you notice about each of the rows?

 

 

 

3. Read this article about the formula and how it is used in real life to catch errors when shopping online.  Choose 2 of these questions to answer with at least two sentences. Remind your teacher that the key can be found in the math mini spark folder.

  1. What is the main purpose of the Luhn Algorithm as described in the text?
  2. How does the algorithm determine if a credit card number is valid after a user inputs it incorrectly? Provide specific steps involved in the process.
  3. What kind of errors might still pass the Luhn Algorithm, even if the sum is a multiple of ten? Explain why these errors can occur.
  4. Why do online stores request additional information, such as the expiration date and card verification number, even if the Luhn Algorithm is used? What does this suggest about the reliability of the algorithm?

3. In this video you will learn how to use the Luhn Algorithm. Make the table on paper as you watch.

4. Optional: Research the creator Peter Luhn and make a timeline with 5-8 details.

5. Optional: Complete the math challenge presented by CEMC math . Print it, read the page and look at the different strategy that they present to you.  Work on the challenge presented.

6. Check your work with this answer key. Remind your teacher that the key can be found in the math mini spark folder.

7. Share your math mini spark recording page with your teacher/EY coordinator.

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