Number Set S
Take your pick of a set for S but
Some Properties May Not Hold!
Can You Tell Which Properties Hold For Each Set?
{1}

Natural Numbers
Unioned With {0}

Whole Numbers, W,
Unioned With Negative Numbers
(As An Extension of W)

Integers
Unioned With Fractions

Rational Numbers
Unioned With Irrational Numbers

Real Numbers
Unioned With Pure Imaginary Numbers (i = Square Root of 1)

Complex Numbers
Basic Properties List A.
Properties Pages:
/ •
0. Number Set S
/ •
1. Closure Property of Addition
/ •
2. Associative Property of Addition
/ •
3. Commutative Property of Addition
/ •
4. Identity Property of Addition
/ •
5. Inverse Property of Addition
/ •
6. Closure Property of Multiplication
/ •
7. Associative Property of Multiplication
/ •
8. Commutative Property of Multiplication
/ •
9. Identity Property of Multiplication
/ •
10. Inverse Property of Multiplication
/ •
11. Zero Multiplication Property
/ •
12. Identities Not Equal Property
/ •
13. Distributive Property of Multiplication Over Addition
/ •
14. Zero Product Property
/ •
15. Reflexive Property of Equality
/ •
16. Symmetric Property of Equality
/ •
17. Transitive Property of Equality
/ •
18. Substitution Property of Equality
/ •
19. Addition Property of Equality
/ •
20. Multiplication Property of Equality
/ •
21. Subtraction Property of Equality
/ •
22. Division Property of Equality
Math Properties
List Page
Math Courses
Copyright © 2000 with all rights reserved by William V. Thayer,
PedLog