Numbers Flashcards

1
Q

What are brown numbers?

A

A pair of numbers where X!+1=Y^2

Examples: (4,5) (5,11) and (7,71) (these are the only Brown pairs)

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2
Q

What is Graham’s Number?

A

The biggest number used in a problem

3^3^3^3…(64 times later)^3

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3
Q

How big is Infinity?

A

It is both the largest and smallest “number” in math.

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4
Q

What are Fibonacci numbers?

A

A series of numbers where the next equals the sum of the past two.
1,1,2,3,5,8,13…

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5
Q

What does ! mean when following a number?

A

Factorial

i.e. 4!=123*4

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6
Q

What makes a number “perfect”?

A

It is perfect when it is the sum of it’s factors.

i.e.=6:1,2,3

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7
Q

What is the point if the math game, Four is Cosmic?

A

The point is to make all numbers equal to four by using the amount of letters in their spelling.
5->4

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8
Q

What are binary numbers?

A

Binary numbers are numbers that use only the symbols 0 & 1.

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9
Q

About how many Infinities are there?

A

There are infinite Infinities.

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10
Q

What is a googol and googolplex

A

A googol is 10^100.

A googolplex is ten to the power of googol.

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11
Q

What are any three points?

A

Coplaner

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12
Q

What makes a number prime?

A

It only has two factors, itself and one.

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13
Q

What is special about prime numbers, addition wise?

A

Every number is a sum of two or more prime numbers, the same goes for Fibonacci numbers and powers of two.

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14
Q

What does it mean when a number has | | around it?

A

It means to find it’s absolute value, or distance away from zero.

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15
Q

What is the value of absolute zero?

A

0 degrees Kelvin, or about -450 degrees Fahrenheit.

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16
Q

What are binary numbers used for and why?

A

They are used in programming because they stand for true(on) and false(off)

17
Q

What is the decimal system?

A

It is the system used for all math with the symbols 0-9

18
Q

In the decimal system what are the two major categories that all numbers fall under?

A

Real numbers and imaginary/complex numbers

19
Q

What are imaginary numbers?

A

The square root of any negative number.

i.e.=the square root of -1 is i

20
Q

What is a complex number?

A

A number that has a real number and a complex number

i.e.=25+6i

21
Q

What are the subcategories in the real number system?

A

Rational, Integers, Whole, Natural,

And Irrational

22
Q

What makes a number fall under the rational category?

A

It is either a whole number(3), a fraction(1/5), a terminating decimal(1.65), or repeating decimal(1.4444…)

23
Q

What puts a number in the Irrational category?

A

It is decimal that neither terminates or repeats, or it a square root of an imperfect square(with the exception of infinity).

24
Q

What is Pi?

A

It is the relationship between the circle’s circumference and area.
3.14…

25
Q

What is Phi?

A

It is the “Golden Ratio”
1/the square root of 5
1.28…