GRE Math Quant Review

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Author:
ReneeCK
ID:
171295
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GRE Math Quant Review
Updated:
2012-09-16 20:21:20
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GRE math
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Description:
GRE quantitative reasoning skills review
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  1. integers
    e numbers 1, 2, 3, and so on, together with their negatives, and 0. Thus, the set of integers is - - - 1, 2, 3, . . . ,{. . . , 3, 2, 1, 0, 1, 2, 3, . . . . - - - }
  2. factor or divisor
    • when integers are multiplied, the multiplied integers is called a factor or divisor of the resulting product.
    • The integers 4, 15, 5, and 12 are also factors of 60, since (4 15 60 )( ) = and (5 12 60. )( ) = The positive factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The negatives of these integers are also factors of 60, since, for example, (- - = 2 30 60 )( ) .
  3. multiple
    all the numbers which a number can be multiplied into (ex 25: 25, 50, 75, 100, 125, 150...)
  4. divisible
    All numbers which are divide into a number (ex 25, 1,5, 25)
  5. least common multiple
    • f two nonzero integers a and b is the least positive integer that is a multiple of both a and b.
    • For example, the least common multiple of 30 and 75 is 150. This is because the positive multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, etc., and the positive multiples of 75 are 75, 150, 225, 300, 375, 450, etc. Thus, the common positive multiples of 30 and 75 are 150, 300, 450, etc., and the least of these is 150.
  6. greatest common divisor (or greatest common factor)
    • two nonzero integers a and b is the greatest positive integer that is a divisor of both a and b.
    • For example, the greatest common divisor of 30 and 75 is 15. This is because the positive divisors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30, and the positive divisors of 75 are 1, 3, 5, 15, 25, and 75. Thus, the common positive divisors of 30 and 75 are 1, 3, 5, and 15, and the greatest of these is 15.
  7. prime number
    an integer greater than 1 that has only two positive divisors: 1 and itself.
  8. prime factorization
    Every integer greater than 1 either is a prime number or can be uniquely expressed as a product of factors that are prime numbers, or prime divisors
  9. composite number.
    An integer greater than 1 that is not a prime number
  10. numerator
    top number of a fraction
  11. denominator
    bottom number of a fraction
  12. common denominator
    a common multiple of two denominators of different fractions
  13. To divide one fraction by another
    first invert the second fraction—that is, find its reciprocal—then multiply the first fraction by the inverted fraction.
  14. mixed number
     consists of an integer part and a fraction part
  15.  base
    the whole number in an expression with a power (3^4- 3)
  16. exponent
    The power number in an expotential expresion. (ex 4^3- 3)
  17. square root
    nonnegative number n is a number r such that For example, 4 is a square root of 16 because Another square root of 16 is -4 since (-4 )^2=16 All positive numbers have two square roots, one positive and one negative. The only square root of 0 is 0. 
  18. True or false: Square roots of negative numbers are not defined in the real number system.
    True
  19.  cube root cube 
    a root raised to the 3rd level 3 cube 3√n
  20. fourth root
    A number raised to the 4th power 4√n
  21. True or false: there is exactly one root for every number n, even when n is negative.
    • True 
    • For example, 8 has exactly one cube root, 3√8=2
  22. True or False: For even-order roots, there is exactly one root for every positive number n and no roots for any negative number n
    False. For even-order roots, there are exactly two roots for every positive number n and no roots for any negative number n4√8 and -4√8 and -8 has one cube root 3√-8=-2 but -8 has no fourth root because it is negative
  23.  irrational numbers
    decimal numbers which do not terminate or repeat.
  24. real numbers
    consists of all rational numbers and all irrational numbers
  25. absolute value
    The distance between a number x and 0 on the number line 

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