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
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1. Closure Property of Addition
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2. Associative Property of Addition
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3. Commutative Property of Addition
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4. Identity Property of Addition
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5. Inverse Property of Addition
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6. Closure Property of Multiplication
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7. Associative Property of Multiplication
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8. Commutative Property of Multiplication
/ •
9. Identity Property of Multiplication
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10. Inverse Property of Multiplication
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11. Zero Multiplication Property
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12. Identities Not Equal Property
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13. Distributive Property of Multiplication Over Addition
/ •
14. Zero Product Property
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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
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