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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.
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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. 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.






2. Less than






3. 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






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






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






6. Plus






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






8. One term (5x or 4)






9. 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






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






11. 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.






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






13. More than






14. A curve in the plane






15. 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.






16. 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:






17. 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.)






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






19. 2 -3 -4 -5 -6






20. 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






21. Any number that la a multiple of 2 is an






22. Number T increased by 9






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






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






25. A number that has factors other than itself and 1 is a






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






27. 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.






28. 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.






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






30. Subtraction






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






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






33. Are used to indicate sets






34. The relative greatness of positive and negative numbers






35. The Arabic numerals from 0 through 9 are called






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






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






38. 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






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






40. 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






41. A number is divisible by 8 if






42. Sixteen less than number Q






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






44. 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






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






46. 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.






47. 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.






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






49. Does not have an equal sign (3x+5) (2a+9b)






50. The objects in a set have at least







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