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Irrational numbers

# Irrational numbers - or composite numbers The first 10...

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Irrational numbers.  Another type of number is an  irrational number.  Irrational numbers  cannot  be written as fractions  , with  a  being an integer and  b  being a natural number.  and   are examples of irrational numbers.  π An irrational  number, when exactly expressed as a  decimal, neither terminates nor has a repeating decimal pattern.  Even numbers.   Even numbers  are integers divisible by 2: … –6, –4, –2, 0, 2, 4, 6, …  Prime numbers.  A  prime number  is a natural number that has exactly two different factors,  or that can be perfectly divided by only itself and 1. For example, 19 is a prime number  because it can be perfectly divided by only 19 and 1, but 21 is not a prime number because 21  can be perfectly divided by other numbers (3 and 7). The only even prime number is 2;  thereafter, any even number may be divided perfectly by 2. Zero and 1 are not prime numbers
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Unformatted text preview: or composite numbers. The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. • Odd numbers. Odd numbers are integers not divisible by 2: …–5, –3, –1, 1, 3, 5,…. • Composite numbers. A composite number is a natural number divisible by more than just 1 and itself: …4, 6, 8, 9,… • Squares. Squares are the result when numbers are multiplied by themselves, that is, raised to the second power. 2 ∙ 2 = 4; 3 ∙ 3 = 9. The first six squares of natural numbers are 1, 4, 9, 16, 25, 36. • Cubes. Cubes are the result when numbers are multiplied by themselves and then again by the original number, that is, raised to the third power. 2 ∙ 2 ∙ 2 = 8; 3 ∙ 3 ∙ 3 = 27. The first six cubes of natural numbers are 1, 8, 27, 64, 125, 216....
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