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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 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






2. Sixteen less than number Q






3. 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






4. 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:






5. 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






6. Number X decreased by 12 divided by forty






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






8. One term (5x or 4)






9. 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.






10. 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






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






12. A number is divisible by 4 if






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






14. Less than






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






16. 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.






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






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






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






20. 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.






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






22. A number is divisible by 2 if






23. A number is divisible by 6 if it is






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






25. Sum






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






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






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






29. 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






30. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






31. Quotient






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






33. More than






34. The relative greatness of positive and negative numbers






35. Remainder






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






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






38. 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






39. Total






40. Product






41. 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.






42. 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






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. 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






45. A number is divisible by 3 if






46. The Arabic numerals from 0 through 9 are called






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






48. 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 -






49. 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.






50. Number T increased by 9






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