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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. 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.






2. More than






3. The objects in a set have at least






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






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






6. The relative greatness of positive and negative numbers






7. A number is divisible by 4 if






8. Quotient






9. A number is divisible by 8 if






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






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






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






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






15. 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






16. LAWS FOR COMBINING NUMBERS






17. 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






18. 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 -






19. Number X decreased by 12 divided by forty






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






21. 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






22. The Arabic numerals from 0 through 9 are called






23. A number is divisible by 5 if its






24. 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.






25. 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






26. A number is divisible by 9 if






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






28. Less than






29. 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.






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






31. Remainder






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






33. Product






34. 2 -3 -4 -5 -6






35. Subtraction






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






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






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






39. Number symbols






40. 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






41. 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






42. 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.






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






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






45. 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






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






47. Decreased by






48. 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.






49. 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:






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







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