Real numbers Flashcards

1
Q

What are the subcategories in the real number system?

A

Rational, integers, whole, natural, and irrational

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2
Q

What is a natural number?

A

Any whole number after zero
(Not including zero)
i.e.=1,2,3,4…

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3
Q

What is a whole number?

A

Any number after zero

Zero included

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4
Q

What is an integers?

A

Any whole number that includes numbers before zero

i.e.=-1,-2,-3

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5
Q

What is a rational number?

A

Any integer that includes decimals and fractions

Must be terminating or repeating decimals

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6
Q

What is an irrational number?

A

Any decimal that dies not terminate or repeat

Includes all forms of Infinity

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7
Q

What type of number is Pi(π)?

A

An irrational

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8
Q

What type of number is -17?

A

An integer and rational number

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9
Q

What is the only irrational number that is not a decimal?

A

Positive and negative Infinity

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10
Q

What do two negative numbers added equal? Multiplied?

A

Added: a negative
Multiplied: a positive

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11
Q

What do a negative and positive number equal when added? Multiplied?

A

Added: if the positive is “larger” then positive and vice versa
Multiplied: negative

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12
Q

What numbers do not fall in the real number category?

A

Imaginary number

Complex have a real number part

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13
Q

Why do complex numbers fall in the imaginary and real category(31+9i)?

A

They have a real number part and an imaginary part

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14
Q

What are some irrational numbers

(not including Pi)?

A

Phi, Infinity, square root of 2,…

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15
Q

What is Phi(Φ)?

A

It is an irrational number

“Golden Ratio”

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16
Q

What is Pi’s value?

A

3.14159265358979323…

Pi is indefinite