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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. 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.






2. One term (5x or 4)






3. 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






4. 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.)






5. 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






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






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






8. 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.






9. First axiom of equality






10. A number is divisible by 4 if






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






12. 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






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






14. The relative greatness of positive and negative numbers






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






16. Less than






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






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






19. Are used to indicate sets






20. 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






21. A number is divisible by 9 if






22. Decreased by






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






24. 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.






25. Number symbols






26. 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.






27. The set of all complex numbers is denoted by






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






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






30. Number T increased by 9






31. The objects in a set have at least






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






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






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






35. 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.






36. 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






37. 2 -3 -4 -5 -6






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. 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:






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






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






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






43. 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.






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






45. 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.






46. 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.






47. A number is divisible by 6 if it is






48. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






49. 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






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