Track / Stage 4 / 76 of 340 #336 of 2000

Problem 336

AMC 12 late, AIME early

Combinatorics Difficulty 4.7 Find the answer

93. A Remarkable Number. Dr. Sharadek has decided to radically change mathematical notation. He considers it a great misunderstanding that there is a number known to children starting school, which, along with its usual notation, has another notation that these children only learn about a few years later, and yet a third, very complex one, which they unfortunately learn about in a more mature age, and no one tells them that it is the same number. Only Dr. Sharadek and his friends know this secret. What is this number?

Your answer

Official solution

93. Such an amazing number is the number one, which can be written in three ways:

$\text { 1, } 100 \% \text { and } 57^{\circ} 17^{\prime} 44^{\prime \prime}, 8 \ldots \text { (1 radian). }$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.