Herding Sheep at the Foot of South Mountain

Zhu Juntang's tutoring session today was a review of seventh-grade mathematics. There was an enormous gap to make up between seventh-grade math and advanced mathematics. Yan Qingcheng had prepared herself for the long haul. Zhu Juntang would definitely fail advanced mathematics in the final exam, but they should at least strive to get her a few points.

"Ha ha, rational numbers? A number can be rational? Then are there irrational numbers?" Zhu Juntang burst out laughing when she saw Yan Qingcheng take out the mainland's first-semester seventh-grade math textbook and turn to Chapter One.

Yan Qingcheng had already grown accustomed to Zhu Juntang's inexplicable sense of humor, which simultaneously exposed her illiteracy. She merely looked at her expressionlessly.

"Then tell me, if rational numbers encounter irrational numbers, will they argue? Rational numbers reason with people, while irrational numbers don't. Which one is stronger? Wouldn't larger rational numbers have stronger reasoning, while larger irrational numbers are better at making unreasonable trouble?" After laughing, Zhu Juntang began analyzing the matter seriously.

"I think you're the strongest irrational number."

Zhu Juntang happily accepted Yan Qingcheng's praise and nodded.

"Rational numbers are numbers whose decimal parts are finite or infinitely recurring. The decimal parts of irrational numbers are infinitely non-recurring. Rational numbers are the set of integers and fractions, and integers can also be regarded as fractions with a denominator of one. Real numbers that are not rational numbers are called irrational numbers—that is, irrational numbers have decimal parts that are infinitely non-recurring." Yan Qingcheng projected the chapter content onto the large screen and explained it to Zhu Juntang.

"I understand. Next section." Zhu Juntang waved her hand.

"Then give me an example. Find one rational number and one irrational number." Yan Qingcheng knew she had to explain it word by word and give