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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • 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. 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.






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






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






4. Quotient






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






6. Plus






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






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






9. First axiom of equality






10. Number symbols






11. Product






12. Are used to indicate sets






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






14. A number is divisible by 5 if its






15. Subtraction






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






17. A curve in the plane






18. Total






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






20. 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.






21. Number X decreased by 12 divided by forty






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






23. 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






24. 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.






25. A number is divisible by 8 if






26. 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:






27. 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






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






29. 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.






30. Less than






31. The relative greatness of positive and negative numbers






32. A number is divisible by 4 if






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






34. 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.






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






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






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






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






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






40. 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.






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






42. Sixteen less than number Q






43. 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






44. 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.






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






46. 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






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






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






49. 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






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