Objective - To classify and identify numbers within the real number system. Rational NumbersIrrational Numbers -Any number that can be written as a fraction.

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Presentation transcript:

Objective - To classify and identify numbers within the real number system. Rational NumbersIrrational Numbers -Any number that can be written as a fraction. -Non-terminating and non-repeating decimals. “Makes Sense” “Doesn’t Make Sense” -can’t be written as a fraction. fractions wholes integers terminating decimals repeating decimals

Sets of Numbers 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 and irrationals.

Sets of Numbers Reals RationalsIrrationals - any number that can be written as a fraction., 7, Fractions/Decimals Integers, , … -3, -2, -1, 0, 1, 2, 3... Negative IntegersWholes … -3, -2, -10, 1, 2, 3... Zero 0 Naturals 1, 2, non-terminating and non-repeating decimals

Make a Venn Diagram that displays the following sets of numbers: Naturals, Wholes, Integers, Rationals, Irrationals, and Reals. Naturals 1, 2, 3... Wholes 0 Integers Rationals Irrationals Reals

Imaginary Numbers Naturals 1, 2, 3... Wholes 0 Integers Rationals Irrationals Reals

Identify each number below as natural, whole, integer, rational, irrational, or real. More than one may apply. Rational, Real Whole, Integer, Rational, Real Integer, Rational, Real Irrational, Real,Whole, Integer, Rational, Real Natural

Identify each number below as natural, whole, integer, rational, irrational, or real. More than one may apply. Rational, Real Integer, Rational, Real,Whole, Integer, Rational, Real Natural Integer, Rational, Real Irrational, Real

Graph each of the numbers on the number line AB CDEF

Use, or = to compare. = = < < > < > <