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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. 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.






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






3. The relative greatness of positive and negative numbers






4. The set of all complex numbers is denoted by






5. More than one term (5x+4 contains two)






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






7. One term (5x or 4)






8. 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






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






10. 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.






11. LAWS FOR COMBINING NUMBERS






12. Number X decreased by 12 divided by forty






13. 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.






14. 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






15. Sixteen less than number Q






16. 2 -3 -4 -5 -6






17. A number is divisible by 9 if






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






19. Number T increased by 9






20. 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.






21. 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.






22. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






23. Increased by






24. 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.






25. A number is divisible by 2 if






26. 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.






27. Number symbols






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






29. Plus






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






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






32. Sum






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






34. 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.






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






36. A number is divisible by 5 if its






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






38. 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






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






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






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






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






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






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






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






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






47. Total






48. A number is divisible by 8 if






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






50. An equation - or system of equations - in two or more variables defines