A community for students.
Here's the question you clicked on:
 0 viewing
Kitten_is_back
 one year ago
Which sets of numbers are closed under division?
Choose all answers that are correct.
A.
rational numbers
B.
integers
C.
{–1, 0, 1}
D.
whole numbers
Kitten_is_back
 one year ago
Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0, 1} D. whole numbers

This Question is Closed

EmmaTassone
 one year ago
Best ResponseYou've already chosen the best response.1When you say whole number you mean the real numbers? Actually I think the answer is A.rational numbers and could be too D.whole number if you mean real numbers

EmmaTassone
 one year ago
Best ResponseYou've already chosen the best response.1I think letter B isnt right because division is not defined in integer numbers. For example: if we take two integer numbers 2 and 3 and then we divide them \[\frac{ 2 }{ 3 }\notin \mathbb{Z}^+ and \frac{ 2 }{ 3 }\notin \mathbb{Z}^\] So division isnt closed for integers.

EmmaTassone
 one year ago
Best ResponseYou've already chosen the best response.1And finally letter C is closed too (always saying that the division is not defined by zero) because every number in the set has inverse (1,1) so division (multiplication of the inverse) is defined and closed. As you can see: 1/1=1 1/1=1 1/1=1 1/1=1 0/1=0/1=0
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.