Classifying Rational Numbers

Types of numbers Khan Academy Video - Number Sets Watch the video on the Number Sets, then fill in the following table. Classifying Real Numbers Match the definition of each subset to the appropriate category Sybmol Subset Name Definition Examples Rational Numbers The set of numbers that can be expressed as the ratio of integers, a (where a and b are integers and b is NOT zero)The set of all Rational and Irrational numbers. ..., -2, -0.111..., -0.4, 0, 2, 1 1 0.32323..., ... Integers The set of negative and positive whole numbers ..., -4, -3, -2, -1, 0, 1, 2, ... Whole Numbers The set of counting numbers and 0 0, 1, 2, 3, ... Counting Numbers The set of counting numbers is the set of numbers you first count with, starting with 1. 1, 2, 3, .... Features of Subsets There are some key feautres that the numbers within these subsets share that make classifying values much easier.Think about the table above. Look closely at those examples. Which subsets share the following features? Common Features of Subsets Subsets These types of numbers contain decimals and fractions. Rational Numbers These types of numbers can be negative. Rational Numbers Integers These types of numbers can ONLY be non-negative Whole Numbers These types of numbers can ONLY be positive Natural Numbers Real Numbers Venn Diagram The Subsets of Real Numbers can be represented in a Venn Diagram. In a Venn Diagram, a number can only be listed ONE time in the most appropriate (smallest) category.Label each section of the Venn Diagram with the following labels. (Rewatch the video if you get stuck!)- Rational Numbers- Whole Numbers- Irrational Numbers- Integers- Real Numbers- Natural Numbers Real Numbers Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers