1. Objective - To recognize different sets of numbers and to identify a domain.
Naturals - Natural counting numbers
{ 1, 2, 3… }
Wholes - Natural counting numbers and zero
{ 0, 1, 2, 3… }
Integers - Positive or negative natural numbers or zero
{ … -3, -2, -1, 0, 1, 2, 3… }
Rationals - Any number which can be written as a fraction
Irrationals - Any decimal number which can’t be written as
a fraction. A non-terminating and non-repeating decimal.
Reals - Rationals & Irrationals

2. Real Numbers Rationals Irrationals 7 2.09 Examples:
Any number which can
be written as a fraction
Non-terminating and non-
repeating decimals which can’t
be written as fractions.
Examples: 7
2.09

3. Real Numbers Rationals Irrationals 7 2.09 Examples: Examples:
Any number which can
be written as a fraction
Non-terminating and non-
repeating decimals which can’t
be written as fractions.
Examples:
Examples: 7
2.09

4. …-3, -2, -1, 0, 1, 2, 3... …-3, -2, -1 Sets of Numbers Reals Rationals
Irrationals
- any number which
can be written as a
fraction.
- non-terminating
and
non-repeating
decimals
, 7, -0.4
Fractions/Decimals
Integers
, -0.32, - 2.1
…-3, -2, -1, 0, 1, 2, 3...
Negative Integers
Wholes
…-3, -2, -1
0, 1, 2, 3...
Zero
Naturals
1, 2, 3...

5. Reals Make a Venn Diagram that displays the following sets of numbers:
Reals, Rationals, Irrationals, Integers, Wholes, and Naturals.
Reals
Rationals
-2.65
Integers -3
-19
Wholes
Irrationals
Naturals
1, 2, 3...

6. Reals Imaginary Numbers Rationals -2.65 Integers -3 -19 Wholes
Irrationals
Naturals
1, 2, 3...

7. 1) -6 Integer, Rational, Real 2) Rational, Real 3) 14
Identify all of the sets to which each number belongs.
(Reals, Rationals, Irrationals, Integers, Wholes, Naturals)
1) -6
Integer, Rational, Real 2)
Rational, Real
3) 14
Natural, Whole, Integer,
Rational, Real
4) 6
Irrational, Real

8. Whole, Integer, Rational, Real
Identify all of the sets to which each number belongs.
(Reals, Rationals, Irrationals, Integers, Wholes, Naturals)
1) 0
Whole, Integer, Rational, Real 2)
Rational, Real 3)
Irrational, Real 4)
Integer, Rational, Real

9. Graphing Real Numbers on a Number Line
Graph the following numbers on a number line.

10. Domain- the set of values which may be
meaningfully substituted for a given variable.
Which set of numbers would best describe the variable?
1) Let x = the number of people at a meeting.
D: x Naturals
“ is a member of ”
2) Let y = your weight
D: y Positive Reals
3) Let t = the low temperature in Alaska yesterday
D: t Reals
4) Let n = the low recorded temperature in Alaska.
D: n Integers