If you get a two-digit result, then add up those digits so you get a single digit answer (for example, 12 = 1 + 2 = 3).ģ. Starting with the leftmost number, double every other number. If you read the Wikipedia entry Luhn algorithm, you will read slightly different steps, which are:ġ. If not, very likely you had a typo and so it tells you the number is not valid. When you enter your credit card into a website, it will do these steps to see if it gets a number ending in 0. The procedure is part of the process to generate your credit card number known as the Luhn algorithm. Here’s the neat thing: your result ends in the digit 0. Add up the remaining digits in your number (these are the digits you skipped in step 1). Count how many of the numbers you added were 5 or greater. Starting with the leftmost number, add up every other number.ģ. I have posted a new video about how you can test it on your own card.įor a 16 digit number, do the following steps:ġ. The reason is there is a hidden mathematical pattern in most major cards. Have you ever typed your credit card number incorrectly and gotten an error? How did the site know that you made a typo in your number? (rated 4.2/5 stars on 22 reviews) Kindle Unlimited Math Puzzles Volume 3 is the third in the series. Math Puzzles Volume 2 is a sequel book with more great problems. Volume 1 is rated 4.4/5 stars on 87 reviews. Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. The puzzles topics include the mathematical subjects including geometry, probability, logic, and game theory. Mind Your Puzzles is a collection of the three “Math Puzzles” books, volumes 1, 2, and 3. Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.2/5 stars on 76 reviews) The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.2/5 stars on 224 reviews)Ĥ0 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. The Joy of Game Theory shows how you can use math to out-think your competition. (3) The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias (2) 40 Paradoxes in Logic, Probability, and Game Theory (1) The Joy of Game Theory: An Introduction to Strategic Thinking Mind Your Decisions is a compilation of 5 books: As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, I may be compensated for purchases made on Amazon.
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