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






2. 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.






3. A number is divisible by 3 if






4. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






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






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






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






8. Total






9. 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.






10. 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






11. The greatest of 3 consecutive whole numbers - the smallest of which is F






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






13. 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






14. 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






15. 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






16. Are used to indicate sets






17. Decreased by






18. Remainder






19. 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






20. 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 -






21. Number T increased by 9






22. 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.






23. Sixteen less than number Q






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






25. A number that has no factors except itself and 1 is a






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






27. 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






28. Subtraction






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






30. 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.






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






32. 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:






33. Quotient






34. 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






35. More than






36. 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.)






37. The set of all complex numbers is denoted by






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






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






40. A curve in the plane






41. 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.






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






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






44. Increased by






45. 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






46. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






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






48. Sum






49. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






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