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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. 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.






2. A number is divisible by 2 if






3. Any number that is exactly divisible by a given number is a






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






5. 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






6. More than






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






8. 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.






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






10. 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






11. 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






12. The relative greatness of positive and negative numbers






13. 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.






14. 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.






15. 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






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






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






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






19. Remainder






20. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






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






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






23. A number is divisible by 6 if it is






24. 2 -3 -4 -5 -6






25. A number is divisible by 8 if






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






27. One term (5x or 4)






28. Total






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






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






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






32. LAWS FOR COMBINING NUMBERS






33. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






34. 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.






35. 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






36. 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.






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






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






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






40. 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.






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






42. Are used to indicate sets






43. 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






44. A curve in the plane






45. 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.






46. 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






47. Increased by






48. A number is divisible by 4 if






49. A number is divisible by 9 if






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