SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
CLEP General Mathematics: Number Systems And Sets
Start Test
Study First
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. A letter tat represents a number that is unknown (usually X or Y)
variable
To separate a number into prime factors
K+6 - K+5 - K+4 K+3.........answer is K+3
upward
2. Quotient
division
In Diophantine geometry
negative
positive
3. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th
Definition of genus
solutions
variable
a complex number is real if and only if it equals its conjugate.
4. A number is divisible by 2 if
upward
right-hand digit is even
subtraction
righthand digit is 0 or 5
5. Total
addition
In Diophantine geometry
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.
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
6. 2 -3 -4 -5 -6
Third Axiom of Equality
consecutive whole numbers
Commutative Law of Addition
(x-12)/40
7. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -
subtraction
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
(x-12)/40
one characteristic in common such as similarity of appearance or purpose
8. 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
magnitude
expression
right-hand digit is even
The multiplication of two complex numbers is defined by the following formula:
9. The greatest of 3 consecutive whole numbers - the smallest of which is F
negative
7
F - F+1 - F+2.......answer is F+2
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).
10. The place value which corresponds to a given position in a number is determined by the
upward
Base of the number system
Complex numbers
In Diophantine geometry
11. The real and imaginary parts of a complex number can be extracted using the conjugate:
a complex number is real if and only if it equals its conjugate.
complex number
Algebraic number theory
K+6 - K+5 - K+4 K+3.........answer is K+3
12. An equation - or system of equations - in two or more variables defines
negative
a curve - a surface or some other such object in n-dimensional space
7
the genus of the curve
13. 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.
Third Axiom of Equality
Factor of the given number
variable
16(5+R)
14. Remainder
a complex number is real if and only if it equals its conjugate.
subtraction
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
monomial
15. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
Base of the number system
a curve - a surface or some other such object in n-dimensional space
algebraic number
rectangular coordinates
16. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Distributive Law
counterclockwise through 90
addition
The real number a of the complex number z = a + bi
17. The numbers which are used for counting in our number system are sometimes called
Downward
addition
Commutative Law of Multiplication
Natural Numbers
18. 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.
Inversive geometry
variable
Associative Law of Addition
algebraic number
19. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
In Diophantine geometry
difference
algebraic number
K+6 - K+5 - K+4 K+3.........answer is K+3
20. LAWS FOR COMBINING NUMBERS
Place Value Concept
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
order of operations
its the sum of its digits is divisible by 3
21. 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:
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).
Numerals
Forth Axiom of Equality
Braces
22. 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
Commutative Law of Multiplication
T+9
variable
Place Value Concept
23. One term (5x or 4)
base-ten number
Set
monomial
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
24. The set of all complex numbers is denoted by
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
C or
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
the sum of its digits is divisible by 9
25. 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.
(x-12)/40
Analytic number theory
coefficient
subtraction
26. 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.
order of operations
Digits
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
(x-12)/40
27. Subtraction
an equation in two variables defines
subtraction
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
difference
28. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
Downward
7
constant
a curve - a surface or some other such object in n-dimensional space
29. 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.)
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
consecutive whole numbers
K+6 - K+5 - K+4 K+3.........answer is K+3
Number fields
30. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
algebraic number
negative
Even Number
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.
31. The number without a variable (5m+2). In this case - 2
Associative Law of Addition
constant
repeated elements
Associative Law of Addition
32. A number that has no factors except itself and 1 is a
The multiplication of two complex numbers is defined by the following formula:
Complex numbers
Prime Number
division
33. More than one term (5x+4 contains two)
Commutative Law of Multiplication
polynomial
Associative Law of Multiplication
F - F+1 - F+2.......answer is F+2
34. Decreased by
Absolute value and argument
C or
subtraction
expression
35. More than
Factor of the given number
even and the sum of its digits is divisible by 3
addition
one characteristic in common such as similarity of appearance or purpose
36. 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}
monomial
difference
K+6 - K+5 - K+4 K+3.........answer is K+3
37. 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
difference
subtraction
base-ten number
Inversive geometry
38. Number T increased by 9
Digits
T+9
Definition of genus
the number formed by the two right-hand digits is divisible by 4
39. Less than
subtraction
constructing a parallelogram
Place Value Concept
Members of Elements of the Set
40. A number is divisible by 4 if
magnitude
Algebraic number theory
16(5+R)
the number formed by the two right-hand digits is divisible by 4
41. 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
Positional notation (place value)
quadratic field
T+9
Prime Factor
42. 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.
Distributive Law
Analytic number theory
equation
Associative Law of Addition
43. Implies a collection or grouping of similar - objects or symbols.
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).
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
Set
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
44. The defining characteristic of a position vector is that it has
magnitude and direction
algebraic number
addition
monomial
45. Increased by
addition
Definition of genus
division
7
46. 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.
a complex number is real if and only if it equals its conjugate.
subtraction
subtraction
Commutative Law of Addition
47. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
48. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
counterclockwise through 90
multiplication
Inversive geometry
polynomial
49. No short method has been found for determining whether a number is divisible by
7
subtraction
C or
Definition of genus
50. Has an equal sign (3x+5 = 14)
one characteristic in common such as similarity of appearance or purpose
repeated elements
equation
Factor of the given number