# Number Set S

## Can You Tell Which Properties Hold For Each Set?

{1}
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Natural Numbers Unioned With {0}
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Whole Numbers, W, Unioned With Negative Numbers (As An Extension of W)
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Integers Unioned With Fractions
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Rational Numbers Unioned With Irrational Numbers
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Real Numbers Unioned With Pure Imaginary Numbers (i = Square Root of -1)
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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
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