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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Any number that is not a multiple of 2 is an






2. The numbers which are used for counting in our number system are sometimes called






3. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






4. Sum






5. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






6. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






7. The place value which corresponds to a given position in a number is determined by the






8. The set of all complex numbers is denoted by






9. Integers greater than zero and less than 5 form a set - as follows:






10. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






11. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






12. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






13. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






14. The greatest of 3 consecutive whole numbers - the smallest of which is F






15. An equation - or system of equations - in two or more variables defines






16. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






17. A number is divisible by 3 if






18. No short method has been found for determining whether a number is divisible by






19. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.






20. A number is divisible by 6 if it is






21. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






22. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






23. More than






24. The real and imaginary parts of a complex number can be extracted using the conjugate:






25. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






26. Since the elements of the set {2 - 4 - e} are the same as the elements of{4 - 2 - e} - these two sets are said to be






27. 2 -3 -4 -5 -6






28. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






29. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






30. A number that has no factors except itself and 1 is a






31. First axiom of equality






32. Quotient






33. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.






34. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






35. Number T increased by 9






36. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






37. Does not have an equal sign (3x+5) (2a+9b)






38. A number is divisible by 9 if






39. The relative greatness of positive and negative numbers






40. Plus






41. A number is divisible by 8 if






42. Any number that la a multiple of 2 is an






43. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






44. Product of 16 and the sum of 5 and number R






45. Product






46. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






47. A number is divisible by 2 if






48. If a factor of a number is prime - it is called a






49. Increased by






50. As the horizontal component - and imaginary part as vertical These two values used to identify a given complex number are therefore called its Cartesian - rectangular - or algebraic form.