Recently, the Internet has been discussing the size problem of 0.999 infinite loop and 1, because of the following reasons:
Zhu Xiaoyong, a second-year graduate student at Southwest University who is a tutor in the summer, recently encountered a problem. A junior high school student in Beibei asked him such a question, "Which is the biggest between 0.99999 infinite cycle and 1?" Without hesitation, he initially replied, "Definitely a big one." The student told him, "The teacher said it was the same size."
So he posted in a forum for help, causing everyone to discuss. First do not consider who is big, go to see the hot discussion of netizens, ha ha
1. I should have been paid 100 yuan, but I was paid 99,999 yuan...... The boss said it was the same, did you feel good?
2. You go to the bank to deposit 99 yuan 99 cents, you call it 100 yuan, see if the bank does it?
3. This problem is reflected in philosophy as the relationship between quantitative change and qualitative change, and quantitative change is bound to produce qualitative change when it develops to a certain extent.
4. After reading the above replies, I feel that I understand a truth... Why are those prices on clothes... Computer price ah, generally priced 199, 1999 and not 200, 2000......
The infinite loop of 5.0.9999, which means "as close as possible", is a mysterious language. He said that it is not equal in the absolute sense, but "equal" in the limit sense, and this "equal" is the meaning of infinite approximation.
6. Student A :0.999999 infinite loop is as big as 1!
Student B: We can change the mathematical hypothetical problem into a life problem, such as: After pulling a hair from the head, there are as many hair as the original, but it is not visible anyway (the concept of infinite circulation can be understood as the number of 9 after the decimal point is invisible). Can you make that comparison?
Classmate A: Sure.
Student B: So, you have nothing to lose by pulling a hair out of your hair.
Student A: Yes.
Classmate B: Then I'll start pulling hair out of your head.
Student A: OK.
Student B: One.
Student A: Go on.
Student B: Two.
Student A: Go on.
Student B :N...
Student A: Did you have to turn me into a Ge you before you would stop?
Conclusion: Practice leads to real knowledge.
7. Apparently they're the same size! What a problem! It's simple: Subtract 0.999 from 1... Loop, what's the result? Zero! Why? Because since the infinite loop, 0.000... 0001 The last one will never come out!