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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. Remainder






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






3. 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






4. The objects in a set have at least






5. Quotient






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






7. First axiom of equality






8. 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






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






10. 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.






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






12. The Arabic numerals from 0 through 9 are called






13. 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.






14. 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






15. Increased by






16. LAWS FOR COMBINING NUMBERS






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






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






19. 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.






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






21. 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






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






23. Number X decreased by 12 divided by forty






24. A curve in the plane






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






26. A number is divisible by 8 if






27. 2 -3 -4 -5 -6






28. 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.






29. 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:






30. Total






31. Plus






32. 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.






33. Number T increased by 9






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






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






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






37. If a factor of a number is prime - it is called a






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






39. 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






40. 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 -






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






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






43. As the horizontal component - and imaginary part as vertical These two values used to identify a given complex number are therefore called its Cartesian - rectangular - or algebraic form.






44. 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






45. 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.






46. Decreased by






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






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






49. A number is divisible by 6 if it is






50. 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.