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






2. 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.






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






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






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. 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. Are used to indicate sets






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






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






10. Number X decreased by 12 divided by forty






11. LAWS FOR COMBINING NUMBERS






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






13. More than






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






15. Number T increased by 9






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






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






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






19. 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.)






20. Has an equal sign (3x+5 = 14)






21. 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.






22. The set of all complex numbers is denoted by






23. As shown earlier - c - di is the complex conjugate of the denominator c + di.






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






25. Remainder






26. 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.






27. A number is divisible by 4 if






28. 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






29. Increased by






30. Product






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






32. 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.






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






34. 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






35. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






36. Total






37. 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






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






39. Quotient






40. Number symbols






41. 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.






42. 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






43. Any number that can be divided lnto a given number without a remainder is a






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






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






46. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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47. Sixteen less than number Q






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






49. 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






50. Less than