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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. 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.






2. 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.






3. Total






4. LAWS FOR COMBINING NUMBERS






5. 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






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






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






8. A number is divisible by 8 if






9. Quotient






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






11. 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.






12. The objects in a set have at least






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






14. Product






15. Number T increased by 9






16. The relative greatness of positive and negative numbers






17. A curve in the plane






18. 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






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






20. Decreased by






21. Remainder






22. 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.)






23. Subtraction






24. 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.






25. A number is divisible by 9 if






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






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






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






30. 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.






31. Sixteen less than number Q






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






33. 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.






34. 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.






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






36. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






37. 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






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






39. 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






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. 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






42. Sum






43. Increased by






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






45. 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






46. 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






47. 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






48. 2 -3 -4 -5 -6






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






50. A number is divisible by 6 if it is