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






2. Quotient






3. 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






4. A number is divisible by 2 if






5. Total






6. 2 -3 -4 -5 -6






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






8. 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






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






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






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






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






13. 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.






14. Remainder






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






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






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






18. 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.






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






20. LAWS FOR COMBINING NUMBERS






21. 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:






22. 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






23. One term (5x or 4)






24. The set of all complex numbers is denoted by






25. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






26. 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.






27. Subtraction






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






29. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






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






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






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






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






34. Decreased by






35. More than






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






37. 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






38. Number T increased by 9






39. Less than






40. A number is divisible by 4 if






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. 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.






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






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






45. Increased by






46. 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.






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






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






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