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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. A curve in the plane
righthand digit is 0 or 5
an equation in two variables defines
Distributive Law
addition

2. Number X decreased by 12 divided by forty
(x-12)/40
upward
Downward
Base of the number system

3. The greatest of 3 consecutive whole numbers - the smallest of which is F
multiplication
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
F - F+1 - F+2.......answer is F+2
addition

4. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
equation
subtraction
repeated elements
solutions

5. 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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6. Any number that la a multiple of 2 is an
The real number a of the complex number z = a + bi
Odd Number
Even Number
magnitude and direction

7. The real and imaginary parts of a complex number can be extracted using the conjugate:
The multiplication of two complex numbers is defined by the following formula:
its the sum of its digits is divisible by 3
constructing a parallelogram
a complex number is real if and only if it equals its conjugate.

8. Quotient
division
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
If the same quantity is added to each of two equal quantities - the resulting quantities are equal. If equals are added to equals - the results are equal.

9. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
Algebraic number theory
subtraction
constructing a parallelogram
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

10. 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.
Associative Law of Multiplication
K+6 - K+5 - K+4 K+3.........answer is K+3
its the sum of its digits is divisible by 3
Commutative Law of Addition

11. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
multiplication
Set
counterclockwise through 90

12. 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.
Positional notation (place value)
addition
coefficient
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

13. The number touching the variable (in the case of 5x - would be 5)
Members of Elements of the Set
coefficient
Number fields
Odd Number

14. Number symbols
Place Value Concept
polynomial
repeated elements
Numerals

15. Has an equal sign (3x+5 = 14)
Commutative Law of Multiplication
equation
The numbers are conventionally plotted using the real part
division

16. A number that has factors other than itself and 1 is a
addition
Composite Number
variable
quadratic field

17. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
rectangular coordinates
the number formed by the three right-hand digits is divisible by 8
Natural Numbers
subtraction

18. A number is divisible by 8 if
Composite Number
the number formed by the three right-hand digits is divisible by 8
Downward
complex number

19. 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
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
Place Value Concept
Base of the number system
subtraction

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.
Composite Number
variable
Forth Axiom of Equality
an equation in two variables defines

21. 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.
addition
an equation in two variables defines
The real number a of the complex number z = a + bi
Associative Law of Multiplication

22. The Arabic numerals from 0 through 9 are called
even and the sum of its digits is divisible by 3
Digits
Second Axiom of Equality
addition

23. More than
addition
constructing a parallelogram
counterclockwise through 90
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.

24. Integers greater than zero and less than 5 form a set - as follows:
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
quadratic field
one characteristic in common such as similarity of appearance or purpose
Numerals

25. 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.
Forth Axiom of Equality
Third Axiom of Equality
even and the sum of its digits is divisible by 3
(x-12)/40

26. The number without a variable (5m+2). In this case - 2
addition
Prime Number
constant
Factor of the given number

27. 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
rectangular coordinates
Positional notation (place value)
addition
an equation in two variables defines

28. Number T increased by 9
subtraction
difference
Q-16
T+9

29. Decreased by
subtraction
Braces
upward
The multiplication of two complex numbers is defined by the following formula:

30. LAWS FOR COMBINING NUMBERS
To separate a number into prime factors
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Absolute value and argument
addition

31. Subtraction
difference
polynomial
Complex numbers
Odd Number

32. Product of 16 and the sum of 5 and number R
constant
magnitude
16(5+R)
Definition of genus

33. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
Forth Axiom of Equality
Analytic number theory
Commutative Law of Addition

34. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
equation
upward
its the sum of its digits is divisible by 3
Place Value Concept

35. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
Factor of the given number
Second Axiom of Equality
negative
positive

36. Product
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
multiplication
rectangular coordinates
Place Value Concept

37. A number is divisible by 9 if
the sum of its digits is divisible by 9
Associative Law of Multiplication
addition corresponds to vector addition while multiplication corresponds to multiplying their magnitudes and adding their arguments (i.e. the angles they make with the x axis).
Braces

38. 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.)
quadratic field
the genus of the curve
Number fields
The numbers are conventionally plotted using the real part

39. Total
the number formed by the two right-hand digits is divisible by 4
magnitude
polynomial
addition

40. A number is divisible by 5 if its
16(5+R)
righthand digit is 0 or 5
counterclockwise through 90
In Diophantine geometry

41. 2 -3 -4 -5 -6
consecutive whole numbers
7
a curve - a surface or some other such object in n-dimensional space
constructing a parallelogram

42. A number is divisible by 2 if
right-hand digit is even
Place Value Concept
To separate a number into prime factors
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.

43. 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
algebraic number
The real number a of the complex number z = a + bi
To separate a number into prime factors
quadratic field

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.
Complex numbers
quadratic field
subtraction
righthand digit is 0 or 5

45. A letter tat represents a number that is unknown (usually X or Y)
an equation in two variables defines
variable
Digits
addition

46. Any number that is exactly divisible by a given number is a
Multiple of the given number
a complex number is real if and only if it equals its conjugate.
Commutative Law of Addition
Numerals

47. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Inversive geometry
16(5+R)
addition
The real number a of the complex number z = a + bi

48. Sum
(x-12)/40
The real number a of the complex number z = a + bi
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
addition

49. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.
Odd Number
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Set
order of operations

50. Remainder
subtraction
Positional notation (place value)
To separate a number into prime factors
righthand digit is 0 or 5