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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 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.






2. Are used to indicate sets






3. 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






4. A number is divisible by 2 if






5. 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






6. Subtraction






7. 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.






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






9. 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






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






11. 2 -3 -4 -5 -6






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






13. 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






14. LAWS FOR COMBINING NUMBERS






15. Quotient






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






17. 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.






18. 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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19. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






20. 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 -






21. A number is divisible by 5 if its






22. Product






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






24. A number is divisible by 4 if






25. 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.






26. 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.






27. 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






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






29. 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






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






31. First axiom of equality






32. Remainder






33. The number without a variable (5m+2). In this case - 2






34. A number is divisible by 3 if






35. Less than






36. 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






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






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






39. A number is divisible by 6 if it is






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






41. The set of all complex numbers is denoted by






42. Sum






43. Number symbols






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






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






46. More than






47. The objects in a set have at least






48. Total






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






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