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Prime A natural number greater than 1 that has exactly two factors ( or division ), itself and 1. Composite A natural number that is divisible by a number other than itself and 1. Integer Rational number either negative, positive or zero. Variable
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Prime A natural number greater than 1 that has exactly two factors (or division), itself and 1. Composite A natural number that is divisible by a number other than itself and 1. Integer Rational number either negative, positive or zero. Variable An alphabetic character representing a number which is either arbitrary or not fully specified or unknown. GCD Greatest Common Divisor LCM Least Common Multiple
Decimals to Fractions 0 . 1 2 3 4 5 6 0.1 1/10 10% 0.7 7/10 70% 0.01 1/100 1% 0.70 70/100 70% 0.002 2/1000 2.0% 0.078 78/100 7.8% Tens Hundreds Thousands Ten-thousands Hundred-thousands Millions
Terminating or Repeating Decimals 3/5 3 divided by 5 is 0.6 Terminating 2/3 2 divided by 3 is 0.6666… Repeating 14/99 14 divided by 99 is 0.14141414… Repeating 5/36 1 and five thirty sixths is 0.138888… Repeating Repeating Decimal to Fraction 0.33333… (10)n=0.3(10) 10n = 3.3 -1n = 0.3 9n = 3.0 9n = 3.0 • 9 n = 3/9 n = 1/3
ArithmeticorGeometric Arithmetic – a sequence in which each term after the first term differs from the preceding term by a constant amount. Example: 1, 5, 9, 13, 17… d = 5 – 1 = 4 Common Difference – a sequence in which each pair of successive terms differs. Example: 1, 5, 9, 13, 17… d = 5 – 1 = 4 Geometric– a sequence in which the ratio of any term to the term that directly precedes it is a constant. Example: 2, 4, 8, 16, 32… r = 4/2 = 2; r = 8/4 = 2; r = 16/8 = 2; r = 32/16 = 2…
Sequence Formulas 1. General for the nth term an = a1 ( n - 1 ) d 2. Sum of first n terms Sn = __n ( a1 + an )__ 2 3. General or nth term an = a1 r n-1 4. Sum of the First n terms Sn = __a1 ( 1 - r n)__ 1 – r , r ≠ 1