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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. Number symbols






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






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






4. 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.






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






6. A number is divisible by 4 if






7. Less than






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






9. 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






10. The Arabic numerals from 0 through 9 are called






11. A curve in the plane






12. 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






13. 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.






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






15. 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






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






17. More than






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






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






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






21. 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.






22. 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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23. Number X decreased by 12 divided by forty






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






25. 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.






26. A number is divisible by 9 if






27. 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.






28. 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.






29. Quotient






30. 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






31. 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 -






32. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.






33. 2 -3 -4 -5 -6






34. First axiom of equality






35. 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:






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






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






38. Subtraction






39. Number T increased by 9






40. The objects in a set have at least






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






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






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






44. 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.






45. 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.






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






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






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






49. A number is divisible by 3 if






50. 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