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






2. 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.






3. 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






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






5. 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.






6. Product






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






8. 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.






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






10. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






11. The Arabic numerals from 0 through 9 are called






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






13. LAWS FOR COMBINING NUMBERS






14. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






15. A number is divisible by 2 if






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






17. 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.






18. Quotient






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






20. Are used to indicate sets






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






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






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






24. 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






25. 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.






26. 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.






27. A number is divisible by 9 if






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






29. A number is divisible by 6 if it is






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






31. 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.






32. 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.






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






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






36. 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.






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






38. Sixteen less than number Q






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






40. 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.






41. 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






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






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






44. A number is divisible by 5 if its






45. First axiom of equality






46. 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






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






48. 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.






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






50. More than