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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. 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.






2. 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 -






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






4. One term (5x or 4)






5. First axiom of equality






6. Sum






7. 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.






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






9. Quotient






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






11. More than






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






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






14. 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.






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






16. Number T increased by 9






17. 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






18. 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.






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






20. Addition of two complex numbers can be done geometrically by






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






22. Remainder






23. 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.






24. 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






25. 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.






26. Plus






27. A number is divisible by 4 if






28. 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.






29. A number is divisible by 3 if






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






31. A number is divisible by 9 if






32. If a factor of a number is prime - it is called a






33. 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






34. Are used to indicate sets






35. A number is divisible by 5 if its






36. Subtraction






37. 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






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






39. Decreased by






40. The relative greatness of positive and negative numbers






41. The Arabic numerals from 0 through 9 are called






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. 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.






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






45. Product






46. 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.






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






48. LAWS FOR COMBINING NUMBERS






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






50. 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







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