Types of Number

Natural Numbers

A positive whole number including zero. Represented as N = (0,1,2,3,4 ....)

Integer Numbers

Any positive or negative whole number including zero. Represented as Z = (...,-2,-1,0,1,2,...)

Rational Numbers

A number that can be expressed as a fraction or ratio. An example of this is 8 or even 1/8. Represented as Q

Irrational Numbers

A number that cannot be represented as a fraction or ratio, the decimal form will contain infinite repeating values. An example of this is √7 because it cannot be simplified.

Real Numbers

Any positive or negative number with or without a fractional part.

Ordinal Numbers

A number used to identify the relative position of one number to another. Unlike the other types of numbers it does not have a representative symbol. An example of this would be 1st, 2nd, 3rd.

Cardinal Numbers

A number used to identify the size of something.

Real Algebraic

The real subset of the algebraic numbers: the real roots of polynomials. Real algebraic numbers may be rational or irrational. √2 = 1.41421... is irrational. Irrational decimal expansions neither end nor repeat. Represented as AR

Revision

1. -1 is not included in which of the following

	Natural Number
→	Natural numbers are only positive integers
	Rational Number
→	All integers can be respresented as a ratio
	Real Number
→	All integers are also real numbers
	Integer
→	Integers are positive or negative

2. 12 is not included in which of the following

	Natural Number
→	Natural numbers are only positive integers
	Irrational Number
→	All integers can be respresented as a ratio
	Real Number
→	All integers are also real numbers
	Integer
→	Integers are positive or negative

3.

The denary number 31 can be represented in unsigned 8 bit binary as:

→ 31 divided by 2 = 15 r 1

→ 15 divided by 2 = 7 r 1

→ 7 divided by 2 = 3 r 1

→ 3 divided by 2 = 1 r 1

→ 1 divided by 2 = 0 r 1

→

→ Now read the remainders from the bottom up to get 11111

→ add the extra bits needed to make it upto 8 bits

4. What is this number an example of '29th'

	Natural Number
→	Natural numbers are only positive integers
	Ordinal number
→	A number used to identify the relative position of one number to another.
	Real Number
→	All integers are also real numbers
	Integer
→	Integers are positive or negative

5. What is the symbol 'Z' representative of

	Natural Number
→	Natural numbers are only positive integers
	Ordinal number
→	A number used to identify the relative position of one number to another.
	Real Number
→	All integers are also real numbers
	Integer
→	Integers are positive or negative

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