answersLogoWhite

0

Real numbers have the two basic properties of being an ordered field, and having the least upper bound property. The first says that real numbers comprise a field, with addition and multiplication as well as division by nonzero numbers, which can be totally ordered on a number line in a way compatible with addition and multiplication. The second says that if a nonempty set of real numbers has an upper bound, then it has a least upper bound. These two together define the real numbers completely, and allow its other properties to be deduced.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
JudyJudy
Simplicity is my specialty.
Chat with Judy
More answers

Rational and irrational

User Avatar

Wiki User

12y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Properties of real number
Write your answer...
Submit
Still have questions?
magnify glass
imp