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Coursework Notes - Number


Number Types


These are the main number types:


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




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


Integers - zero, positive and negative WHOLE numbers.





Natural numbers are POSITIVE integers.


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





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


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





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.





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





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


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





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





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





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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