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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. Sum






2. 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






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






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






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






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






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






8. Total






9. 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






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






11. 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






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






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






14. 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 -






15. 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:






16. 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.






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






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






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






20. 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






21. Number symbols






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






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






24. A number is divisible by 6 if it is






25. LAWS FOR COMBINING NUMBERS






26. The objects or symbols in a set are called Numerals - Lines - or Points






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. 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.






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






30. 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






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






32. 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






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






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






35. A number is divisible by 3 if






36. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






37. 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






38. A number is divisible by 5 if its






39. Remainder






40. 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.






41. The objects in a set have at least






42. 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.






43. Number T increased by 9






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






45. 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.






46. The set of all complex numbers is denoted by






47. 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.)






48. 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.






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






50. A number is divisible by 4 if