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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. Remainder






2. 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.






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






4. 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.






5. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






6. 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






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






8. Subtraction






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






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






11. The relative greatness of positive and negative numbers






12. Less than






13. The set of all complex numbers is denoted by






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






15. 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






16. A number is divisible by 3 if






17. 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






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






19. One term (5x or 4)






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






21. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






22. A curve in the plane






23. 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






24. Quotient






25. The Arabic numerals from 0 through 9 are called






26. 2 -3 -4 -5 -6






27. 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






28. 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






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






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






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






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






33. More than






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






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






36. 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.






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






38. Number X decreased by 12 divided by forty






39. 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.






40. Total






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






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






43. A number is divisible by 2 if






44. 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.






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. A number is divisible by 4 if






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






48. 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 -






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






50. Sum