Test your basic knowledge |

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. A number is divisible by 4 if






2. The set of all complex numbers is denoted by






3. 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






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






5. LAWS FOR COMBINING NUMBERS






6. A number is divisible by 2 if






7. Sum






8. 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:






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






10. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






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






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






15. The central problem of Diophantine geometry is to determine when a Diophantine equation has






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






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






18. 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






19. The objects in a set have at least






20. 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






21. 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






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






23. The relative greatness of positive and negative numbers






24. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






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






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






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






28. Does not have an equal sign (3x+5) (2a+9b)






29. Number T increased by 9






30. 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.






31. Number X decreased by 12 divided by forty






32. 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






33. 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.






34. 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






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






36. Are used to indicate sets






37. A number is divisible by 6 if it is






38. 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.






39. Product






40. Less than






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






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






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






44. A number is divisible by 5 if its






45. Any number that la a multiple of 2 is an






46. 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.






47. 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






48. 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.






49. First axiom of equality






50. Increased by