# Overview

## Natural Numbers

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

Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed. 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 Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five.

# 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. 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

4. 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

5. What is the difference between natural numbers and integers?

 Integers can include negatives → This is correct. Natural numbers can include negatives → Natural numbers can only be positives. Integers can be negative or positive. Natural numbers have to be a whole number → Both integers and natural numbers must be whole numbers. Integers can include 0 → Both integers and natural numbers can include 0.

6.

 What type of number is used for identifying the size of something?

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