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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • 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. 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.






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






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






4. 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.






5. 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






6. The Arabic numerals from 0 through 9 are called






7. 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.






8. The objects in a set have at least






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






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






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






12. A curve in the plane






13. Are used to indicate sets






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






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






16. Number symbols






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






18. Decreased by






19. 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.






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






21. Total






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. 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






24. Sum






25. 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 -






26. Product






27. Less than






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






29. Number T increased by 9






30. More than






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






32. 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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33. 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.






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






35. 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






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






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. LAWS FOR COMBINING NUMBERS






41. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






42. A number is divisible by 9 if






43. 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.






44. 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






45. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






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






47. One term (5x or 4)






48. 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






49. 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.






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