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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. Any number that is exactly divisible by a given number is a






2. 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.






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






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






6. Sixteen less than number Q






7. Number T increased by 9






8. 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






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






10. Increased by






11. Number X decreased by 12 divided by forty






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






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






14. 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






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






16. 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.






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






18. 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






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






20. 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.






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






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






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






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






25. The objects in a set have at least






26. Plus






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






28. Subtraction






29. The relative greatness of positive and negative numbers






30. A curve in the plane






31. 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






32. 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






33. Remainder






34. A number is divisible by 5 if its






35. First axiom of equality






36. The Arabic numerals from 0 through 9 are called






37. 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.






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






39. Quotient






40. 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.






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






42. Sum






43. 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






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






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






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






47. 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.






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






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






50. Decreased by






Can you answer 50 questions in 15 minutes?



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