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






2. 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






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






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






5. Are used to indicate sets






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






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






8. A number is divisible by 9 if






9. 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






10. Decreased by






11. The smallest of four sonsecutive whole numbers - the biggest of which is K+6






12. 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






13. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






14. 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






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






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






17. 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:






18. A number is divisible by 4 if






19. Number symbols






20. 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.






21. A number is divisible by 6 if it is






22. 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






23. 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






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






25. 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






26. 2 -3 -4 -5 -6






27. 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.






28. 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






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






30. 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.






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






32. LAWS FOR COMBINING NUMBERS






33. The central problem of Diophantine geometry is to determine when a Diophantine equation has






34. One term (5x or 4)






35. 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.






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






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






38. The Arabic numerals from 0 through 9 are called






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






40. The objects in a set have at least






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






42. 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.






43. The set of all complex numbers is denoted by






44. Any number that can be divided lnto a given number without a remainder 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. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






47. 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






48. 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






49. 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.






50. 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