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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. 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.






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






4. Total






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






6. 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






7. 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.






8. A number is divisible by 9 if






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






10. 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






11. 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






12. More than






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






14. 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






15. 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.






16. 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






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






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






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






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






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






22. 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.






23. The set of all complex numbers is denoted by






24. Number symbols






25. 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.






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






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






28. Decreased by






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






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






31. 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.






32. A curve in the plane






33. Product






34. A number is divisible by 8 if






35. Are used to indicate sets






36. Less than






37. Subtraction






38. 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






39. 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






40. 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






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






43. 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 -






44. 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.






45. 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.






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






47. 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






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






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






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