# Numbers

Different types of numbers

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• Created by: Saba
• Created on: 09-02-12 17:40

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## Number Types

There are many different types of numbers. These are the main number types:

integers, natural, prime, rational, irrational, square, surds, real, square, factors

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## NATURAL NUMBERS

Natural numbers are POSITIVE integers

2, 5, 8, 93, 37, 29 ...

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## INTEGERS

Integers are  - zero, positive and negative WHOLE numbers.

-3, -2, -1, 0, 1, 2, 3

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## PRIME NUMBERS

Prime Numbers can only be divided by themselves and '1' .

3, 5, 7, 11, 13, 17, 23, 29 .......

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## RATIONAL NUMBERS

All Rational numbers can be WRITTEN AS FRACTIONS, where the top number (numerator) and bottom number(denominator) are whole numbers

5/6, 9/5, 11/3, 12/7, 8/6, 24/10...

Where a decimal number is concerned, there is some pattern in the numbers after the decimal point. in this case we call the decimal 'recurring'. By convention the repeated numbers have a dot placed above them.

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## IRRATIONAL NUMBERS

Irrational Numbers cannot be written as fractions. Irrational numbers have no pattern in the numbers after the decimal point. The numbers go on randomly.

e.g._5.9384756210029183744121

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## SQUARE NUMBERS

A square number is produced when a number is multiplied by itself.

25, 16, 36, 9 are squares of 5, 4, 6, 3 respectively

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## SURDS

Surds are positive or negative numbers with a square root sign infront of them.

for example

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## REAL NUMBERS

These are all the types of number discussed here. If you take your studies further to Alevel, you will learn about VIRTUAL NUMBERS. These are to do with the square root of -1.

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## FACTORS

Factors are numbers that can divide exactly into other numbers without leaving a

remainder. For example, 5 is a factor of 35. It divides into it exactly 7 times.

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