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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
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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. The numbers which are used for counting in our number system are sometimes called

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

4. The set of all complex numbers is denoted by

5. Number symbols

6. More than

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

8. 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

9. Less than

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

11. 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.

12. One term (5x or 4)

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

14. 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.

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

17. Quotient

18. First axiom of equality

19. 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:

20. Decreased by

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

22. Number X decreased by 12 divided by forty

23. Number T increased by 9

24. More than one term (5x+4 contains two)

25. 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

26. 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.

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

28. 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

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

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

31. A number is divisible by 2 if

32. 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.

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

34. A number is divisible by 4 if

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

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

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

38. The relative greatness of positive and negative numbers

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

40. A number is divisible by 6 if it is

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

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

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

44. 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

45. Are used to indicate sets

46. Remainder

47. A number is divisible by 8 if

48. 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

49. The objects in a set have at least

50. Plus