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






2. A number is divisible by 9 if






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






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. Remainder






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






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






8. The relative greatness of positive and negative numbers






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






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






11. A number is divisible by 6 if it is






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






13. Are used to indicate sets






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






15. 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






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






17. 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






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






20. First axiom of equality






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






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






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






24. 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 -






25. 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






26. Total






27. 2 -3 -4 -5 -6






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






29. Subtraction






30. More than






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






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






33. 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:






34. A number is divisible by 2 if






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






36. Quotient






37. Plus






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






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






40. 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.)






41. 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






42. A number that has factors other than itself and 1 is a






43. 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






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






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






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






47. 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






48. Sum






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






50. A curve in the plane