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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. The Arabic numerals from 0 through 9 are called






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






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






4. A number is divisible by 2 if






5. A number is divisible by 9 if






6. 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






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






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






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






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






11. 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.






12. 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






13. More than






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






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






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






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






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






19. 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 -






20. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






21. Number T increased by 9






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






23. The objects in a set have at least






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






25. Total






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






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






28. 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.






29. 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.






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






31. Remainder






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






34. Subtraction






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






37. A number is divisible by 6 if it is






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






39. 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






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






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






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






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






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






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






46. 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






47. Decreased by






48. 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






49. 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






50. Any number that is exactly divisible by a given number is a







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