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Alg. 1- Quiz 1.1
Flashcards to study for your Quiz 1.1- Real Numbers and Properties
Term | Definition |
---|---|
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 |