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






2. Quotient






3. Number T increased by 9






4. Number symbols






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






6. 2 -3 -4 -5 -6






7. First axiom of equality






8. Sixteen less than number Q






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






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






11. Remainder






12. 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.






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






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






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






16. More than






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






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






19. A number is divisible by 4 if






20. The objects in a set have at least






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






22. 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






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






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






25. 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






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






27. 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






28. Subtraction






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






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






31. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






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






33. Number X decreased by 12 divided by forty






34. Increased by






35. 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






36. 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






37. 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:






38. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






39. 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






40. 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.






41. A number is divisible by 2 if






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






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






44. Product






45. 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






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






47. A number is divisible by 5 if its






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






49. A number is divisible by 8 if






50. 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







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