Question

here is a question

Answer 1

@Loser66

Answer 2

Why do you repost it?

Answer 3

because i need help. cant really work on it. i always get confuse

Answer 4

ok, tell me the definition of a ring?

Answer 5

Since you post this problem twice, I know you do want to know what is going on. However, you need go step by step by YOURSELVES. I will guide you the process and explain carefully. But you must work out on it. The very first step is definition of a ring, type it out, PLEASE

Answer 6

a ring is an algebraic structure consisting of two operations .+ and *

Answer 7

@Loser66

Answer 8

ok, next: properties of a ring?

Answer 9

associativity,
closure
identity
inverse
commutativity

Answer 10

ok, now, check one -by -one
closure: what does closure mean?

Answer 11

it means that if you + are * if result is \[\in q\] then it is closed

Answer 12

it means if a, b in the set, then (a+b) in the set also.

Answer 13

yes

Answer 14

Now, your problem
Let (a,b,c,d) and (e,f,g,h) are 2 elements in the set . That is a, b,c,d,e,f,g,h all are rational numbers, ok?

Answer 15

By define, if you add them together, you have a new one , it is (a+e, b+f, c+g, d+h) ok?

Answer 16

Now tell me, a is a fraction, e is a fraction also, hence if a +e, do you have a fraction?

Answer 17

yes.