SOLUTION: Set C = {0, 1, 1/2, 1/3, 1/4 }. List the rational numbers in set C. I listed all the numbers except for 0. According to the textbook, zero must be included as a rational numb

Algebra ->  Real-numbers -> SOLUTION: Set C = {0, 1, 1/2, 1/3, 1/4 }. List the rational numbers in set C. I listed all the numbers except for 0. According to the textbook, zero must be included as a rational numb      Log On


   

Question 1198029: Set C = {0, 1, 1/2, 1/3, 1/4 }.
List the rational numbers in set C.
I listed all the numbers except for 0. According to the textbook, zero must be included as a rational number.
Question:
What makes zero a rational number?
I know that any number can be written over 1.
For example, 4 = 4/1. We say 4 is a rational number. Does the same apply to 0?
Let me see.
0/1 = 0. Did I just answered my own question?
Am I right? Yes, 0/1 = 0, which makes zero a rational number.
You say?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Yes, you answered your own question.

The number 0 can be written as the fraction 0/1, so it is a rational number.

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.

Zero is not only a rational number.

It is an integer number, too (as everybody knows, from the kindergarten age).

Each integer number is a rational number, at the same time.