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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. Total






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. Number symbols






4. 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.






5. 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 -






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






7. The relative greatness of positive and negative numbers






8. 2 -3 -4 -5 -6






9. Are used to indicate sets






10. 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.






11. One term (5x or 4)






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






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






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






15. Subtraction






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






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






18. 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.






19. More than






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






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






22. Less than






23. 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.






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






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






26. 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.






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






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






29. 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:






30. A number is divisible by 3 if






31. 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






32. A number is divisible by 6 if it is






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. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






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






36. Sum






37. Remainder






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






39. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






40. A number is divisible by 4 if






41. Number X decreased by 12 divided by forty






42. The Arabic numerals from 0 through 9 are called






43. 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.






44. Product






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






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






48. 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.






49. A number is divisible by 9 if






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