so the sheet is called: sets of real numbers
you have the sets
1.natural numbers
2. whole numbers
3. integers
4. rational numbers
5. irrational numbers
1. Natural number: counting numbers not including zero ex. 1,2,3,4...
2. whole numbers: natural numbers and zero ex. 0,1,2,3,4...
3. integers: whole numbers and their negative counterparts ex. -4,-3,-2,-1,0,1,2,3,4...
4. rational numbers: numbers that can be expressed as a/b where b is not equal zero ex 1/4, 3/1, 0/9...
5. irrational numbers: numbers that don't end ex. pi, (note, 0.3333333333333 doesn't count since it can be expressed as 1/3)
so we calculate them and put them into the proper set
1. -15
this is negative, so it is an integer
2. 11
this is a counting number so it is a natural number
3. squarerootof 30
if you calculate this you get a long number. I am not sure weather it ends or not so it could be irrational
4. 17/3
this is rational since it is in the form a/b
5. 6
this is counting so it is natural number
6. 0
this is a whole number
7. -13
this is negative, so it is an integer
8. 3
this is a counting number so it is a natural number
9. 10/11
this is rational since it is in the form a/b
10. 14
this is a counting number so it is a natural number
11. -13
we did this already on no.7
it's an integer
12. pi
this is irrational
13. 475/325
this is rational since it is in the form a/b
14. squarerootof 77
if you calculate this you get a long number. I am not sure weather it ends or not so it could be irrational
15. 6/7
this is rational since it is in the form a/b
16. squarerootof 0
this is a whole number because swuareroot of zero=zero
17. -squareroot 196
this is an integer since if you calculate it, it gives you -13
18. -1
this is negative, so it is an integer
so the answers are
1. Integer
2. Natural
3. Irrational
4. Rational
5. Natural
6. Whole
7. Integer
8. Natural
9. Rational
10. Natural
11. Integer
12. Irrational
13. Rational
14. Irrational
15. Rational
16. Whole
17. Integer
18. Integer