Many books have two ISBN numbers for each edition, and that's what's happening in the case you've cited. There are now two formats of ISBN, one with 13 digits and one with 10 digits. ISBN 10 is the older format. Since 2007, books have had both. The last digit in each case is the check(sum) digit, calculated from a hash of the previous digits.
The ISBN 13 is created from:
- the digits 978
- the first 9 digits of the ISBN 10 code
- the recalculated check digit
That's what's going on in your case, and you can cite either the ISBN-13 or the ISBN-10.
It's also the case that different editions of a book have different ISBNs. That's not what's going on in your case. But when that is the case, you use the ISBN of the exact edition you've been using: that way, the content and page numbers should tally up, for anyone who follows up your ISBN and page number citation to see the original in context.