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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. 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.






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






3. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






4. Subtraction






5. Implies a collection or grouping of similar - objects or symbols.






6. 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






7. 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






8. 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






9. The objects in a set have at least






10. 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






11. More than one term (5x+4 contains two)






12. The relative greatness of positive and negative numbers






13. A number is divisible by 2 if






14. 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.






15. 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.






16. Any number that is not a multiple of 2 is an






17. Sixteen less than number Q






18. Number T increased by 9






19. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






20. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






21. The set of all complex numbers is denoted by






22. Quotient






23. Number X decreased by 12 divided by forty






24. 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.






25. The objects or symbols in a set are called Numerals - Lines - or Points






26. A letter tat represents a number that is unknown (usually X or Y)






27. First axiom of equality






28. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






29. 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






30. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






31. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






32. Are used to indicate sets






33. Decreased by






34. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






35. A number is divisible by 9 if






36. 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






37. A number is divisible by 6 if it is






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






39. The Arabic numerals from 0 through 9 are called






40. More than






41. Number symbols






42. A number that has factors other than itself and 1 is a






43. 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.






44. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






45. Sum






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






47. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






48. One term (5x or 4)






49. Total






50. A number is divisible by 5 if its







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