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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. Are used to indicate sets
upward
F - F+1 - F+2.......answer is F+2
Commutative Law of Multiplication
Braces

2. Any number that is not a multiple of 2 is an
Complex numbers
Odd Number
positive
Even Number

3. Does not have an equal sign (3x+5) (2a+9b)
expression
Numerals
Distributive Law
the genus of the curve

4. 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.
Commutative Law of Multiplication
rectangular coordinates
Third Axiom of Equality
order of operations

5. 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.
positive
Associative Law of Addition
Complex numbers
the genus of the curve

6. 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
Place Value Concept
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
the genus of the curve
16(5+R)

7. The number without a variable (5m+2). In this case - 2
Algebraic number theory
constant
consecutive whole numbers
equation

8. A number is divisible by 8 if
addition
the number formed by the three right-hand digits is divisible by 8
repeated elements
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

9. Number symbols
Numerals
Downward
Prime Number
F - F+1 - F+2.......answer is F+2

10. 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
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Associative Law of Addition
base-ten number
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).

11. Integers greater than zero and less than 5 form a set - as follows:
even and the sum of its digits is divisible by 3
Associative Law of Addition
magnitude
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}

12. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
addition
repeated elements
Number fields
Associative Law of Addition

13. First axiom of equality
K+6 - K+5 - K+4 K+3.........answer is K+3
Distributive Law
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.
an equation in two variables defines

14. A number is divisible by 5 if its
Complex numbers
constant
constructing a parallelogram
righthand digit is 0 or 5

15. A number that has no factors except itself and 1 is a
Prime Number
the genus of the curve
Numerals
base-ten number

16. Sixteen less than number Q
Q-16
To separate a number into prime factors
division
Base of the number system

17. 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
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.
Positional notation (place value)
C or
the number formed by the two right-hand digits is divisible by 4

18. 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.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
base-ten number
a complex number is real if and only if it equals its conjugate.
Analytic number theory

19. Plus
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
Inversive geometry
Algebraic number theory
addition

20. The numbers which are used for counting in our number system are sometimes called
multiplication
Complex numbers
Natural Numbers
Prime Factor

21. A number that has factors other than itself and 1 is a
Composite Number
even and the sum of its digits is divisible by 3
counterclockwise through 90
16(5+R)

22. If a factor of a number is prime - it is called a
Prime Factor
magnitude and direction
the number formed by the two right-hand digits is divisible by 4
The multiplication of two complex numbers is defined by the following formula:

23. The relative greatness of positive and negative numbers
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.
Commutative Law of Multiplication
its the sum of its digits is divisible by 3
magnitude

24. Number X decreased by 12 divided by forty
(x-12)/40
Composite Number
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .

25. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
positive
The multiplication of two complex numbers is defined by the following formula:
the genus of the curve
Third Axiom of Equality

26. Decreased by
C or
its the sum of its digits is divisible by 3
subtraction
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

27. 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.
algebraic number
division
addition
Associative Law of Addition

28. A number is divisible by 9 if
addition
upward
the sum of its digits is divisible by 9
Odd Number

29. The number touching the variable (in the case of 5x - would be 5)
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
positive
Associative Law of Addition
coefficient

30. Remainder
subtraction
monomial
T+9
Factor of the given number

31. The finiteness or not of the number of rational or integer points on an algebraic curve
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.
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
the genus of the curve
an equation in two variables defines

32. 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:
right-hand digit is even
repeated elements
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
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).

33. 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.
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
expression
upward
even and the sum of its digits is divisible by 3

34. 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.
Associative Law of Multiplication
constructing a parallelogram
subtraction
Composite Number

35. Implies a collection or grouping of similar - objects or symbols.
its the sum of its digits is divisible by 3
Number fields
Set
Equal

36. No short method has been found for determining whether a number is divisible by
Members of Elements of the Set
the genus of the curve
Forth Axiom of Equality
7

37. Sum
addition
the genus of the curve
Commutative Law of Multiplication
Associative Law of Addition

38. 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.
solutions
counterclockwise through 90
16(5+R)
Third Axiom of Equality

39. As shown earlier - c - di is the complex conjugate of the denominator c + di.
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
a curve - a surface or some other such object in n-dimensional space
Even Number
Braces

40. 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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41. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Complex numbers
equation

42. One term (5x or 4)
Place Value Concept
monomial
subtraction
one characteristic in common such as similarity of appearance or purpose

43. Any number that la a multiple of 2 is an
Base of the number system
Absolute value and argument
Even Number
equation

44. More than
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Number fields
addition
(x-12)/40

45. A number is divisible by 2 if
solutions
right-hand digit is even
Place Value Concept
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.

46. 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
Associative Law of Multiplication
Algebraic number theory
Q-16
The real number a of the complex number z = a + bi

47. 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.
constant
16(5+R)
magnitude and direction
Complex numbers

48. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
Odd Number
Third Axiom of Equality
consecutive whole numbers
order of operations

49. The objects in a set have at least
one characteristic in common such as similarity of appearance or purpose
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).
addition
Complex numbers

50. The objects or symbols in a set are called Numerals - Lines - or Points
an equation in two variables defines
Members of Elements of the Set
addition
right-hand digit is even