Definitions Flashcards

1
Q

Real Number

A

any number with a decimal expansion

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2
Q

Natural numbers

A

1,2,3,4,

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3
Q

Whole numbers

A

0,1,2,3,4,

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4
Q

Integers

A

whole numbers and negatives -2,-1,0,1,2,3

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5
Q

Rational Numbers

A

All numbers whose decimal expansion either terminate or repeat
or the ratio of two integers

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6
Q

Irrational Numbers

A

all real numbers that are not rational

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7
Q

Nested Sets

A

we say a group of sets are nested if each set is contained in another set

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8
Q

Closure of Addition

A

a+b is a real number

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9
Q

Commutative of Addition

A

a+b=b+a

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10
Q

Associative of Addition

A

(a+b) +c = a+ ( b+c)

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11
Q

Identity of Addition

A

a+0=a

0+a=a

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12
Q

Inverse of Addition

A

a+ -a=0

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13
Q

Closure of Multiplication

A

ab is a real number

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14
Q

Commutative of Multiplication

A

ab=ba

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15
Q

Associative of Multiplication

A

(ab)c =a(bc)

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16
Q

Multiplicative Identity

A

a x 1= a

1 x a = a

17
Q

Multiplicative Inverse

A

a x 1/a = 1 when a is not = to 0

18
Q

distributive

A

a(b+c) = ab +ac