Generalization and Shortcut Techniques: The Product of Multi-digit Numbers with 11\(^{n}\)

Authors

  • Wittaya Pulsawad
  • Thanwarat Butsan
  • Bhanupong Phrommarat
  • Nitima Phrommarat Chiang Rai Rajabhat University image/svg+xml

Keywords:

multiplication with 11, multi-digit number, remainder number

Abstract

This research initially investigates generalization and shortcut techniques of the product of multi-digit numbers with 11 by using the principle of mathematical induction incorporated with remainder numbers. Furthermore, the derived results are extended to the product of multi-digit numbers by 11\(^{n}\) applying the principle of addition on Pascal's triangle.

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Published

2025-09-30

Issue

Vol. 23 No. 3 (2025): September

Section

Articles

How to Cite

Generalization and Shortcut Techniques: The Product of Multi-digit Numbers with 11\(^{n}\). (2025). Thai Journal of Mathematics, 23(3), 385–394. https://thaijmath.com/index.php/thaijmath/article/view/1629