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






2. The set of all complex numbers is denoted by






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






4. 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






5. A number is divisible by 5 if its






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






7. 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.






8. Less than






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






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






11. A number is divisible by 3 if






12. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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13. Subtraction






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






15. Increased by






16. 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






17. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






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






19. A curve in the plane






20. Decreased by






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






22. 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






23. One term (5x or 4)






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






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






27. Number T increased by 9






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






29. 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.






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






31. Total






32. 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.






33. Any number that can be divided lnto a given number without a remainder is a






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






35. 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.






36. Sum






37. The objects in a set have at least






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






39. 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






40. A number is divisible by 4 if






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






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






43. The relative greatness of positive and negative numbers






44. 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.






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






46. 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






47. 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






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






49. 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.






50. A number is divisible by 8 if







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