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The Real Number System
I. Place a  in the column if the given number is a member of the set.
Number
3
Natural
Number
Whole
Number
Integer
Rational
Number
















-3
3
2
3
−
2
1.5
1.55555…
Irrational
Number
Real
Number








1.51525354…
√7
9
√
4
0
√9
3




II. Give examples of the following sets of numbers. If the set is empty, write “not possible.”
1. A natural number that is an integer.
__________1_____________
(Name any natural number)
2. An integer that is not a natural number.
__________-1____________
3. A rational number.
_________1/2____________
4. A rational number that is not a natural number.
_________1/2____________
5. A rational number that is an integer.
___________1____________
(Name any integer)
6. A whole number that is not a natural number.
___________0____________
(This is the only possible ans)
7. A natural number that is not an integer.
____Not possible_________
8. A real number that is not a rational number.
__________√2___________
9. A whole number that is a rational number.
__________1_____________
(Name any whole number)
10. A rational number that is not an irrational number.
__________1_____________
(Name any rational number)
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