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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?
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What are rational numbers?
What are rational numbers?
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What are irrational numbers?
What are irrational numbers?
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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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