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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.
  • 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. 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.






2. Number symbols






3. More than






4. 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.






5. 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.






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






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






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






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






10. 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






11. Sixteen less than number Q






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






13. 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.)






14. 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






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






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






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






18. 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.






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






20. Quotient






21. Subtraction






22. The Arabic numerals from 0 through 9 are called






23. 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.






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






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






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






27. The relative greatness of positive and negative numbers






28. 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 -






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






30. 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.






31. Number T increased by 9






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






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






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






35. The set of all complex numbers is denoted by






36. The objects in a set have at least






37. A number is divisible by 3 if






38. 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.






39. 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.






40. A number is divisible by 4 if






41. 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.






42. A number is divisible by 9 if






43. A curve in the plane






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






45. A number is divisible by 6 if it is






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






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. 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






49. Are used to indicate sets






50. Remainder