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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. A number is divisible by 2 if






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






3. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






4. A curve in the plane






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






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






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. Implies a collection or grouping of similar - objects or symbols.






9. 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






10. 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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11. First axiom of equality






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






13. A number is divisible by 3 if






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






15. LAWS FOR COMBINING NUMBERS






16. 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






17. 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






18. 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






19. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






20. Number T increased by 9






21. 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.






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






23. 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.






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






25. Quotient






26. 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






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






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






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






30. 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






31. 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.






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






33. 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.)






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






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






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






37. Product






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






39. Number symbols






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






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






42. 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






43. 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.






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






45. 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.






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






47. Sixteen less than number Q






48. The Arabic numerals from 0 through 9 are called






49. Total






50. The set of all complex numbers is denoted by