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

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

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

…-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...

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...

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

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

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) - 2.03 Rational, Real 3) Irrational, Real 4) Integer, Rational, Real

Graphing Real Numbers on a Number Line Graph the following numbers on a number line. -4 -3 -2 -1 0 1 2 3 4

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