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






2. The Arabic numerals from 0 through 9 are called






3. 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.






4. A number is divisible by 9 if






5. Plus






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






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






8. 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.






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






10. A number is divisible by 4 if






11. 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






12. Are used to indicate sets






13. Sum






14. 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






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






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






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






18. 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






19. A number is divisible by 6 if it is






20. 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.






21. 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.






22. Does not have an equal sign (3x+5) (2a+9b)






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






24. 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.






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






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






27. Less than






28. Number T increased by 9






29. Decreased by






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






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






32. 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.






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






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






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






36. 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






37. Sixteen less than number Q






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






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






40. First axiom of equality






41. 2 -3 -4 -5 -6






42. 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






43. 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.






44. 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.






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






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






47. 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






48. Number symbols






49. 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.






50. 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







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