Question

Name the set or sets of numbers to which each real number belongs. Use N for natural #'s, W for whole #'s, Z for integers, Q for rational #'s, and I for Irrational #'s. *Please let me know if I got any wrong and if I do explain what I did wrong/ explain the process to better aide my understanding. Also, if I forget to add one to a problem let me know as well.*

39. - (sqrt 49)
40. 0
41. 0.4583
42. 0.3 (repeating, bar notation above 3)
43. - 1/2
44. sqrt 49
45. 0.6666
46. 10/5
47. sqrt 37
48. 3.14
49. 3/5
50. 5

Answer 1

My Answers:
39. Z
40. W
41. I
42. Q
43. Q
44. N, W, & Z
45. Q
46. N, W, & Z
47. I
48. Q
49. Q
50. N, W, Z, & Q

Answer 2

For 39 ). -sqrt{49}=-7 which is both z & Q

Answer 3

remember -7=-7/1
it is p/q form where q is not equal to 0

Answer 4

Z={\(-\infty\),.........,-2,-1,0,1,2,.........\(\infty\)}

Answer 5

Q=(\(-\infty \),......-2,-1,0,1,2,......\(\infty\))

Answer 6

W=N\(\cup\){0}
N={1,2,3,4,....\(\infty\)}

Answer 7

All of them are Rational except sqrt(37) which is irrational.

All the decimals are repeating or terminate except that one

Answer 8

I thought 41 was Irrational?

Answer 9

0.4583

It ends. you can just say...

4583/10000

Answer 10

what about the even numbers? what should be the letters?

Answer 11

For the one Irrational, that is it, if irrational.

For the rest Rational numbers, you just have to decide if Natural , whole, integer

Natural -- 1,2,3,4,5...
whole -- 0,1,2,3,4,5...
integer-- ...-2,-1,0,1,2...

Natural are counting numbers, whole adds just 0 to that, the integers add the negatives to that

Answer 12

would this be the answer to the problems?
40. W & Q
42. Q
44. N, W, Z, & Q
46. N, W, Z, & Q
48. Q
50. N, W, Z, & Q

Answer 13

The only ones that have any of those types are 40) 0, and 50)5

Answer 14

So write I for 47, all the rest put a Q

Then add to 40) 0 -- Z and H
and add to 50) 5 --- Z , H, and N

Answer 15

So I had the answers right, all I had to do was Q on all of them on the ones I didn't have a Q on them, except for 37.

Answer 16

Q 39. - (sqrt 49)
Q,Z,H 40. 0
Q 41. 0.4583
Q 42. 0.3 (repeating, bar notation above 3)
Q 43. - 1/2
Q 44. sqrt 49
Q 45. 0.6666
Q 46. 10/5
I 47. sqrt 37
Q 48. 3.14
Q 49. 3/5
Q,Z,H,N 50. 5

Answer 17

H stands for what whole number's

Answer 18

yeah, also i forgot a couple, since those are perfect squares, and go to -7 and 7

39) Q , Z
44) Q, Z, H, N

Answer 19

Q,Z 39. - (sqrt 49)
Q,Z,H 40. 0
Q 41. 0.4583
Q 42. 0.3 (repeating, bar notation above 3)
Q 43. - 1/2
Q,Z,H,N 44. sqrt 49
Q 45. 0.6666
Q 46. 10/5
I 47. sqrt 37
Q 48. 3.14
Q 49. 3/5
Q,Z,H,N 50. 5

Answer 20

oh and just making sure that 46, is N, W, Z, & Q

Answer 21

@DanJS thanks for the explanation and help, it really helped me understand rational and irrational numbers on a deeper level

Answer 22

yeah sorry it is late , 46 is all those.. add that on

Answer 23

yeah it's okay and I always appreciate a deepen explanation on how to work problems because it helps me out a lot

Answer 24

I would first decide Rational/irrational, then if it is an integer, natural or whole number..
Yeah, here is a nice diagram to show you. Notice how each is contained in others
https://images.search.yahoo.com/yhs/search;_ylt=A0LEViOm.eBXiUoA1CknnIlQ?p=rational+and+irrational&fr=yhs-mozilla-004&fr2=piv-web&hspart=mozilla&hsimp=yhs-004#id=10&iurl=http%3A%2F%2Fleferemath.weebly.com%2Fuploads%2F1%2F4%2F1%2F9%2F14195578%2F4606013_orig.png&action=click

Answer 25

omg thanks so much to be honest! :D