Quiz 1.1- Real Number System & Properties Flashcards

1
Q

Real Numbers

A

R = All irrational and rational numbers

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2
Q

Irrational Numbers

A

I = All fractions and decimals that never end and have no repeating pattern (examples: Pi 3.1415…, square root of 24)

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3
Q

Rational Numbers

A

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)

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4
Q

Integers

A

Z = All positive, negative, and neutral numbers with no decimals (examples: …,-2, -1, 0, 1, 2…, negative square root of 81, -24/8)

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5
Q

Whole Numbers

A

W = All positive and neutral numbers with no decimals (examples: 0, 1, 2, 3…, square root of 0)

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6
Q

Natural Numbers

A

N = All positive numbers with no decimals (examples: 1, 2, 3…, square root of 36)

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7
Q

Commutative Property

A

Order doesn’t matter with addition and multiplication (example: 5x + 2 = 2 + 5x)

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8
Q

Associative Property

A

Grouping doesn’t matter with addition and multiplication (example: (5 + 2) + 6 = 5 + (2 +6))

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9
Q

Identity Property

A

The value you start with is also the answer, “stays the same” (example: x + 0 = x, x * 1 = x)

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10
Q

Inverse Property

A

Use the opposite to “cancel”, think about multiplying by the reciprocal (example: 5x * 1/(5x) = 1)

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11
Q

Property of Zero

A

Anything multiplied by zero equals zero (example: x^2 * 0 = 0)

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12
Q

Distributive Property

A

Multiplying a value to everything inside parenthesis (example: 10(x + 5) = 10x + 50

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13
Q

Reflexive Property

A

A value is equal to itself, think about a reflection in a mirror (example: -15 = -15)

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14
Q

Symmetric Property

A

If a=b, then b=a (example: If x = -2, then -2 = x)

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15
Q

Transitive Property

A

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)

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16
Q

Which set of numbers is closed under subtraction? (Irrational numbers, Integers, Natural numbers, or Whole numbers)

A

Integers

17
Q

Which of the following sets is NOT closed under addition? (Odd numbers, Whole numbers, Integers, or Natural numbers)

A

Odd numbers