Chapter 2.1 Flashcards

1
Q

What is a set?

A

A collection of objects

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2
Q

What are objects that belong to a set called?

A

Elements (members)

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3
Q

Natural numbers

A

Weird N={1,2,3,4…}

Counting numbers

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4
Q

Whole numbers

A

W={0,1,2,3,4…}

Natural numbers plus 0

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5
Q

Integers

A

Weird Z={…-3,-2,-1,0,1,2,3}

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6
Q

Rational Numbers

A

Weird Q={X/y|x€Z, y€Z, y not equal 0}

This is all fractions, terminating decimals, and repeating decimals.

All integers are rational numbers

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7
Q

Irrational Numbers

A

I= the set of all non-terminating, non-repeating decimals

Ex: square root of 2, e, Pi, and -1.010010001….

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8
Q

Real Numbers

A

Weird R= {x| X€Q or X€I}

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9
Q

Classify:

-3

A

Z, Q, R

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10
Q

Weird N

A

Natural numbers

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11
Q

W

A

Whole numbers

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12
Q

Weird Z

A

Integers

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13
Q

Weird Q

A

Rational numbers

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14
Q

I

A

Irrational numbers

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15
Q

Weird R

A

Real numbers

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16
Q

2/3

A

Q, R

17
Q

Square root 3

A

I, R

18
Q

0.1111111…..

A

Q, R

19
Q

2

A

N, W, Z, Q, R

20
Q

0.030033000333

A

Q, R

21
Q

Tips

A

N-W-Z-Q-R
If Q then not I
If I then not Q