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Alg. 1- Quiz 1.1

Flashcards to study for your Quiz 1.1- Real Numbers and Properties

TermDefinition
Real Numbers- give definition R = All irrational and rational numbers
Irrational Numbers- give definition and examples I = All fractions and decimals that never end and have no repeating pattern (examples: Pi 3.1415..., square root of 24)
Rational Numbers- give definition and examples Q = All fractions and decimals that either repeat or terminate (examples: 5/6, -3.75, square root of 16, square root of 16/49, 2 and 1/5)
Integers- give definition and examples Z = All positive, negative, and neutral numbers with no decimals (examples: ...,-2, -1, 0, 1, 2..., negative square root of 81, -24/8)
Whole Numbers- give definition and examples W = All positive and neutral numbers with no decimals (examples: 0, 1, 2, 3..., square root of 0)
Natural Numbers- give definition and examples N = All positive numbers with no decimals (examples: 1, 2, 3..., square root of 36)
Commutative Property- give definition and examples Order doesn't matter with addition and multiplication (example: 5x + 2 = 2 + 5x)
Associative Property- give definition and examples Grouping doesn't matter with addition and multiplication (example: (5 + 2) + 6 = 5 + (2 +6))
Identity Property- give definition and examples The value you start with is also the answer, "stays the same" (example: x + 0 = x, x * 1 = x)
Inverse Property- give definition and examples Use the opposite to "cancel", think about multiplying by the reciprocal (example: 5x * 1/(5x) = 1)
Property of Zero- give definition and examples Anything multiplied by zero equals zero (example: x^2 * 0 = 0)
Distributive Property- give definition and examples Multiplying a value to everything inside parenthesis (example: 10(x + 5) = 10x + 50
Reflexive Property- give definition and examples A value is equal to itself, think about a reflection in a mirror (example: -15 = -15)
Symmetric Property- give definition and examples If a=b, then b=a (example: If x = -2, then -2 = x)
Transitive Property- give definition and examples If a=b and b=c, then a=c (example: If 4^2 = 16 and 16 = square root of 256, then 4^2 = square root of 256)
Which set of numbers is closed under subtraction? (Irrational numbers, Integers, Natural numbers, or Whole numbers) Integers
Which of the following sets is NOT closed under addition? (Odd numbers, Whole numbers, Integers, or Natural numbers) Odd numbers
Created by: dcrace
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