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






2. A number is divisible by 6 if it is






3. 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






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






5. Decreased by






6. Sum






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






8. Product






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






10. 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






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






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






13. 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






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






15. One term (5x or 4)






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






18. 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






19. A number is divisible by 4 if






20. 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






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






22. The Arabic numerals from 0 through 9 are called






23. 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






24. 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.






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






26. Number symbols






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






28. LAWS FOR COMBINING NUMBERS






29. First axiom of equality






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






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






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






33. A number is divisible by 5 if its






34. The objects in a set have at least






35. 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.






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






37. Number X decreased by 12 divided by forty






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






39. Quotient






40. 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






41. 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.






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






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






44. 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.






45. 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.






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






47. A number is divisible by 9 if






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






49. 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.






50. A curve in the plane