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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. Quotient






2. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






3. 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






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






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






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






7. Less than






8. A curve in the plane






9. The defining characteristic of a position vector is that it has






10. In the Rectangular Coordinate System - the direction to the right along the horizontal line is






11. 2 -3 -4 -5 -6






12. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






13. The finiteness or not of the number of rational or integer points on an algebraic curve






14. A number is divisible by 9 if






15. Total






16. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






17. Are used to indicate sets






18. 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






19. 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.






20. 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.






21. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -






22. The central problem of Diophantine geometry is to determine when a Diophantine equation has






23. Increased by






24. The objects in a set have at least






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






26. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






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






28. The smallest of four sonsecutive whole numbers - the biggest of which is K+6






29. 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.






30. 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.






31. 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






32. LAWS FOR COMBINING NUMBERS






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






34. Decreased by






35. 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






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






37. Remainder






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






39. Number X decreased by 12 divided by forty






40. 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






41. 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 -






42. Product






43. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






44. Sixteen less than number Q






45. Plus






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






47. Subtraction






48. 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.






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






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