Palindromes and the “Law of 11”
Clarence J. Dockweller · The Arithmetic Teacher · 1985
Several years ago, McGinty and Eisenberg (1978) described an extenive classification of numbers according to the number of step required to form a palindrome (a number that reads the same forward or backward, like 707 or 12021). The number 89. for example, requires twenty-four reversals and sum before the palindrome 8813200023188 is obtained. Although finding palindrome is intriguing in itself, other inte resting things can be done with them. Logical reasoning can be fruit fully applied to palindromic patterns. The patterns, related concepts, and discssuions are very appropriate for enrichment experience at the intermediate grade level with extenions for all higher levels. We shall consider several example that suggest the “law of 11.”