Give an example of a decreasing nested family (see Exercise 16)for each condition. (a)(b) i=1Ai = (0, 1).i=1Ai = [0, 1].{Ac)(d)

8/30/16 1.1-The Counting Numbers Objectives: 1. Counting numbers 2. Cardinality 3. One to one correspondence 4. Base ten system 5. Place value 6. Expanded form 7. Drawing with base ten blocks 8. Whole Numbers Counting Numbers 1, 2, 3, 4… =infinite Cardinality ● How many objects do you have ● Ex: ○ What is the cardinality __4__ One to one correspondence ● Skill needed to be able to determine cardinality ● Assigning a value from one set to exactly one value in another set ● A set is a collection of objects Set 1: 1 2 3 4 Set 2: 1→ 2→ 3→ 4→ -Assigning a number to a circle -That’s how counting occurs Base 10 Number System/Place value ● 10 symbols: 0,1,2,3,4,5,6,7,8,9