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






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






3. Plus






4. 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.






5. This law states that the sum of three or more addends is the same regardless of the manner in which they are grouped. suggests association or grouping.






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






7. Number symbols






8. 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.






9. 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.






10. 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






11. A number is divisible by 5 if its






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






13. The number touching the variable (in the case of 5x - would be 5)






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






15. The Arabic numerals from 0 through 9 are called






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






17. 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






18. Sixteen less than number Q






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






20. LAWS FOR COMBINING NUMBERS






21. 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






22. The number without a variable (5m+2). In this case - 2






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






24. A number is divisible by 3 if






25. 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






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






27. 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.






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






29. A curve in the plane






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






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






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. Number T increased by 9






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






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






37. 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.)






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






39. Increased by






40. 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:






41. A number is divisible by 9 if






42. 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.






43. The objects in a set have at least






44. Quotient






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






46. Total






47. 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






48. Are used to indicate sets






49. The relative greatness of positive and negative numbers






50. 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.