The Real Number System Essential Question How do

The Real Number System Essential Question: -How do we classify as rational and irrational numbers?

Understanding Rational and Irrational “Makes Sense” Rational Numbers -Any number that can be written as a fractions wholes integers terminating decimals repeating decimals “Doesn’t Make Sense” Irrational Numbers -Non-terminating and non-repeating decimals. -cannot be written as a fraction.

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 Rationals - any number that can be written as a , 7, -0. 4 fraction. Irrationals - non-terminating and non-repeating decimals 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 0 Naturals 1, 2, 3. . .

Sets of Numbers This is a Venn Diagram that displays the following sets of numbers: Naturals, Wholes, Integers, Rationals, Irrationals, and Reals Rationals -3 -2. 65 Integers Wholes -19 0 Naturals 1, 2, 3. . . Irrationals

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

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