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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. 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.
addition
Absolute value and argument
the sum of its digits is divisible by 9
The numbers are conventionally plotted using the real part

2. 2 -3 -4 -5 -6
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
consecutive whole numbers
Numerals
The absolute value (or modulus or magnitude) of a complex number z = x + yi is

3. Decreased by
subtraction
division
upward
monomial

4. First axiom of equality
Multiple of the given number
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
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.
K+6 - K+5 - K+4 K+3.........answer is K+3

5. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.
In Diophantine geometry
one characteristic in common such as similarity of appearance or purpose
Second Axiom of Equality
subtraction

6. The Arabic numerals from 0 through 9 are called
quadratic field
Digits
the genus of the curve
Associative Law of Addition

7. 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.
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
algebraic number
the sum of its digits is divisible by 9

8. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many
the sum of its digits is divisible by 9
addition
In Diophantine geometry
Definition of genus

9. 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
the sum of its digits is divisible by 9
Third Axiom of Equality
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

10. If a factor of a number is prime - it is called a
Prime Factor
an equation in two variables defines
T+9
Number fields

11. The objects or symbols in a set are called Numerals - Lines - or Points
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).
In Diophantine geometry
Members of Elements of the Set
Analytic number theory

12. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
Prime Number
Q-16
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
upward

13. The set of all complex numbers is denoted by
counterclockwise through 90
The multiplication of two complex numbers is defined by the following formula:
base-ten number
C or

14. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
Even Number
order of operations
a complex number is real if and only if it equals its conjugate.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:

15. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
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).
multiplication
one characteristic in common such as similarity of appearance or purpose

16. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
addition
The real number a of the complex number z = a + bi
an equation in two variables defines
rectangular coordinates

17. Increased by
addition
Commutative Law of Addition
(x-12)/40
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:

18. A number that has factors other than itself and 1 is a
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Composite Number
even and the sum of its digits is divisible by 3
upward

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
an equation in two variables defines
Place Value Concept
Multiple of the given number
Third Axiom of Equality

20. 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.
the number formed by the three right-hand digits is divisible by 8
quadratic field
Complex numbers
Place Value Concept

21. More than
complex number
Prime Number
addition
subtraction

22. Implies a collection or grouping of similar - objects or symbols.
subtraction
the genus of the curve
coefficient
Set

23. Quotient
negative
division
right-hand digit is even
even and the sum of its digits is divisible by 3

24. One term (5x or 4)
Distributive Law
the sum of its digits is divisible by 9
complex number
monomial

25. Remainder
Odd Number
Multiple of the given number
subtraction
16(5+R)

26. 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.
The real number a of the complex number z = a + bi
Forth Axiom of Equality
F - F+1 - F+2.......answer is F+2
addition

27. A number is divisible by 3 if
magnitude
its the sum of its digits is divisible by 3
Factor of the given number
base-ten number

28. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
F - F+1 - F+2.......answer is F+2
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.
Distributive Law
negative

29. A number is divisible by 2 if
order of operations
Factor of the given number
right-hand digit is even
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

30. Number T increased by 9
rectangular coordinates
consecutive whole numbers
T+9
Third Axiom of Equality

31. Any number that is exactly divisible by a given number is a
Multiple of the given number
one characteristic in common such as similarity of appearance or purpose
a complex number is real if and only if it equals its conjugate.
Number fields

32. 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
The multiplication of two complex numbers is defined by the following formula:
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
upward
16(5+R)

33. The finiteness or not of the number of rational or integer points on an algebraic curve
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
righthand digit is 0 or 5
Set
the genus of the curve

34. 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.
Digits
complex number
addition
Associative Law of Addition

35. Does not have an equal sign (3x+5) (2a+9b)
Distributive Law
F - F+1 - F+2.......answer is F+2
expression
K+6 - K+5 - K+4 K+3.........answer is K+3

36. 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
quadratic field
In Diophantine geometry
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
complex number

37. 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.
Numerals
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
7
Base of the number system

38. A letter tat represents a number that is unknown (usually X or Y)
its the sum of its digits is divisible by 3
The numbers are conventionally plotted using the real part
algebraic number
variable

39. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Distributive Law
negative
Number fields

40. The central problem of Diophantine geometry is to determine when a Diophantine equation has
solutions
Equal
Set
the sum of its digits is divisible by 9

41. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
base-ten number
addition
Place Value Concept
Inversive geometry

42. Sum
equation
The real number a of the complex number z = a + bi
right-hand digit is even
addition

43. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f
Numerals
Positional notation (place value)
its the sum of its digits is divisible by 3
algebraic number

44. 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
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Positional notation (place value)
Associative Law of Multiplication

45. The number without a variable (5m+2). In this case - 2
Set
constant
Distributive Law
even and the sum of its digits is divisible by 3

46. A number is divisible by 5 if its
monomial
righthand digit is 0 or 5
solutions
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

47. Plus
subtraction
Prime Number
one characteristic in common such as similarity of appearance or purpose
addition

48. 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.
Positional notation (place value)
upward
the number formed by the two right-hand digits is divisible by 4
Analytic number theory

49. A number is divisible by 4 if
T+9
Multiple of the given number
the number formed by the two right-hand digits is divisible by 4
Definition of genus

50. 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
C or
one characteristic in common such as similarity of appearance or purpose
base-ten number
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.