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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. 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






2. Quotient






3. 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.






4. 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:






5. 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.






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






7. 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






8. Number symbols






9. A number is divisible by 4 if






10. Less than






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






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






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






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






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






16. 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 -






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






18. Decreased by






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






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






21. One term (5x or 4)






22. 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






23. 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






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






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






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






27. LAWS FOR COMBINING NUMBERS






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






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






30. A number is divisible by 8 if






31. 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.






32. Are used to indicate sets






33. 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






34. Remainder






35. 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.






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






37. A number is divisible by 6 if it is






38. The Arabic numerals from 0 through 9 are called






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






40. A number is divisible by 2 if






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






42. Has an equal sign (3x+5 = 14)






43. 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.






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






45. 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.






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






47. A number is divisible by 3 if






48. 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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49. 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.






50. 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







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