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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. 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






2. 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.






3. The set of all complex numbers is denoted by






4. 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






5. 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.






6. 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.






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






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






9. The relative greatness of positive and negative numbers






10. Sixteen less than number Q






11. 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:






12. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






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






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






15. The Arabic numerals from 0 through 9 are called






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






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






18. 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.






19. A number is divisible by 2 if






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






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






22. 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.






23. Number X decreased by 12 divided by forty






24. Sum






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






26. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.






27. 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






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






29. A number is divisible by 4 if






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






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






32. LAWS FOR COMBINING NUMBERS






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






34. 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






35. Are used to indicate sets






36. 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.






37. Less than






38. 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






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






40. 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.






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






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






45. 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






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






47. A number is divisible by 9 if






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. 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.






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