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Questions and Answers
What does the symmetric property state?
What does the symmetric property state?
- Rational + Irrational numbers
- A=A
- If A=B, then B=A (correct)
- A * B = B * A
What is the reflexive property?
What is the reflexive property?
A=A (Can be anything, like Lambert=Lambert)
What does the commutative property of multiplication state?
What does the commutative property of multiplication state?
- A = A
- Rational + Irrational numbers
- A * B = B * A (correct)
- A + B = B + A
What are real numbers?
What are real numbers?
What are rational numbers?
What are rational numbers?
What are irrational numbers?
What are irrational numbers?
What is absolute value?
What is absolute value?
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Study Notes
Properties of Equality
- Symmetric property: States that if A is equal to B, then B is equal to A.
- Reflexive property: Indicates that any quantity is equal to itself, expressed as A = A.
Properties of Operations
- Commutative property of multiplication: Demonstrates that the order of multiplication does not change the product, formulated as A * B = B * A.
Number Types
- Real numbers: Comprise both rational and irrational numbers, encompassing all possible numbers on the number line.
- Rational numbers: Defined as numbers that can be expressed as a fraction of two integers; their decimal representation either terminates (ends) or repeats infinitely.
- Irrational numbers: Defined as numbers that cannot be expressed as a fraction of two integers; their decimal representation neither terminates nor repeats.
Absolute Value
- Definition of absolute value: Represents the distance of a number from zero on the number line; |x| equals x if x is greater than zero, and |x| equals -x if x is less than zero.
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