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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.
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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. 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.






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






3. A number is divisible by 4 if






4. 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.






5. The Arabic numerals from 0 through 9 are called






6. 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.






7. A number is divisible by 8 if






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






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






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






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






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






13. 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






14. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






15. The set of all complex numbers is denoted by






16. 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






17. Decreased by






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






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






20. Number symbols






21. The real and imaginary parts of a complex number can be extracted using the conjugate:






22. 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.






23. 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 -






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






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






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






27. 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.






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






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






30. More than






31. 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.






32. Increased by






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






34. 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.






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






36. 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.






37. 2 -3 -4 -5 -6






38. A number is divisible by 6 if it is






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






40. 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






41. 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






42. The relative greatness of positive and negative numbers






43. 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.






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






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






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

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47. Plus






48. A number is divisible by 5 if its






49. Are used to indicate sets






50. 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







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