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Education

Types of Numbers

Clint HiggsFollow

Deputy Head at Queen's CollegeAdvertisement

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- © B. Taylor - 2004
- Natural Numbers The counting numbers 1, 2, 3, 4, 5, . . . Integers Include all the whole numbes and zero . . . -3, -2, -1, 0, 1, 2, 3, . . . Rational Numbers Include all the integers plus fractions Real Numbers Include all the Rational Numbers plus numbers that cannot be written as fractions N Z Q R
- Factor A factor of a number divides exactly into that number eg: Factors of 14 are: 1, 2, 7 and 14 Prime Number A number with exactly TWO factors: (1 and itself) 2, 3, 5, 7, 11, 13, 17, . . . Prime Factor A factor of a number which is also a prime number is called a prime factor
- Prime Factor A factor of a number which is also a prime number is called a prime factor
- eg 1: Write 24 as a product of Prime Factors Prime Factor A factor of a number which is also a prime number is called a prime factor 24 ÷ 2 12 ÷ 2 6 ÷ 2 3 ÷ 3 1 24 = 2 x 2 x 2 x 3 = 2 x 33 Keep dividing by prime numbers until you get to an answer of 1
- REAL NUMBERS Rational Numbers Irrational Numbers These include all the whole numbers and numbers which can be written as a fraction. ALL decimals which recur or terminate can be written as fractions. These are all the and numbers which can NOT be written as a fraction. Examples: pi Square roots of primes and multiples of primes.
- Writing a terminating decimal as a fraction (1) Write all the digits after the decimal point (2) Draw a line under these (3) Put a 0 under each digit (4) Put a 1 in front of the 0s (5) Simplify if possible Examples 0.37 37 001 = 0.213 213 0001 = 0.013 013 0001 = 13 1000 =

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