SOLUTION: 1. What is the difference between natural numbers and rational numbers? 2. What is the difference between rational numbers and real numbers? 3. What is the difference between who

Algebra ->  Real-numbers -> SOLUTION: 1. What is the difference between natural numbers and rational numbers? 2. What is the difference between rational numbers and real numbers? 3. What is the difference between who      Log On


   

Question 563024: 1. What is the difference between natural numbers and rational numbers?
2. What is the difference between rational numbers and real numbers?
3. What is the difference between whole numbers and integers?
4. Why is there a rule that says x^0=1?
5. Why is there a rule that says 5/0 = undefined?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
For #1-3, review what natural numbers, rational numbers, integers, etc. are defined as.

For #4, x^0 = 1 because x^(a-b) = (x^a)(x^b), so if a = b, x^0 = (x^a)/(x^a) = 1 (assume x is not 0).

For #5, 5/0 is undefined because we cannot divide 5 into groups of zero.