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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.
  • 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. Increased by






2. Number symbols






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






4. The relative greatness of positive and negative numbers






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






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






7. Sum






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






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






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






11. 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






12. 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






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






14. First axiom of equality






15. 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






16. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






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






18. LAWS FOR COMBINING NUMBERS






19. 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






20. 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.






21. 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.






22. Remainder






23. 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






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






25. 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






26. The Arabic numerals from 0 through 9 are called






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






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






29. One term (5x or 4)






30. 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






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






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






33. 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.






34. 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.)






35. Are used to indicate sets






36. A number is divisible by 6 if it is






37. 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






38. More than






39. 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.






40. The set of all complex numbers is denoted by






41. A number is divisible by 5 if its






42. Sixteen less than number Q






43. The objects in a set have at least






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






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






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






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






48. A number is divisible by 9 if






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






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