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. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
consecutive whole numbers
multiplication
Analytic number theory
K+6 - K+5 - K+4 K+3.........answer is K+3
2. First axiom of equality
the sum of its digits is divisible by 9
Natural 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.
Second Axiom of Equality
3. 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.
Prime Factor
algebraic number
Base of the number system
Commutative Law of Addition
4. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
Odd Number
rectangular coordinates
Forth Axiom of Equality
quadratic field
5. 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
Definition of genus
T+9
Place Value Concept
Third Axiom of Equality
6. A curve in the plane
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
an equation in two variables defines
Analytic number theory
variable
7. The central problem of Diophantine geometry is to determine when a Diophantine equation has
Associative Law of Multiplication
solutions
negative
monomial
8. The greatest of 3 consecutive whole numbers - the smallest of which is F
Definition of genus
addition
16(5+R)
F - F+1 - F+2.......answer is F+2
9. The objects or symbols in a set are called Numerals - Lines - or Points
The numbers are conventionally plotted using the real part
Commutative Law of Addition
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
Members of Elements of the Set
10. Sixteen less than number Q
Odd Number
Q-16
Algebraic number theory
right-hand digit is even
11. 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.
Second Axiom of Equality
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Braces
Odd Number
12. 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
Positional notation (place value)
division
In Diophantine geometry
equation
13. A letter tat represents a number that is unknown (usually X or Y)
difference
subtraction
Third Axiom of Equality
variable
14. A number that has factors other than itself and 1 is a
multiplication
Composite 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).
the genus of the curve
15. An equation - or system of equations - in two or more variables defines
In Diophantine geometry
a curve - a surface or some other such object in n-dimensional space
Multiple of the given number
a complex number is real if and only if it equals its conjugate.
16. 2 -3 -4 -5 -6
algebraic number
consecutive whole numbers
addition
equation
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
Third Axiom of Equality
Positional notation (place value)
Commutative Law of Addition
negative
18. 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.
Commutative Law of Addition
Absolute value and argument
Distributive Law
one characteristic in common such as similarity of appearance or purpose
19. Any number that is exactly divisible by a given number is a
Set
Place Value Concept
a curve - a surface or some other such object in n-dimensional space
Multiple of the given number
20. 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.)
Number fields
consecutive whole numbers
Third Axiom of Equality
one characteristic in common such as similarity of appearance or purpose
21. Does not have an equal sign (3x+5) (2a+9b)
Composite Number
Place Value Concept
expression
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
22. Any number that can be divided lnto a given number without a remainder is a
Q-16
expression
Factor of the given number
Associative Law of Addition
23. A number that has no factors except itself and 1 is a
subtraction
the sum of its digits is divisible by 9
constructing a parallelogram
Prime Number
24. Quotient
Multiple of the given number
division
Members of Elements of the Set
negative
25. 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.
order of operations
The numbers are conventionally plotted using the real part
Composite 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).
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:
a complex number is real if and only if it equals its conjugate.
repeated elements
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).
Even Number
27. Product of 16 and the sum of 5 and number R
16(5+R)
(x-12)/40
one characteristic in common such as similarity of appearance or purpose
upward
28. The set of all complex numbers is denoted by
Natural Numbers
C or
Equal
subtraction
29. 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
expression
The multiplication of two complex numbers is defined by the following formula:
Positional notation (place value)
Forth Axiom of Equality
30. Any number that is not a multiple of 2 is an
Odd Number
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
Place Value Concept
F - F+1 - F+2.......answer is F+2
31. 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.
Forth Axiom of Equality
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Even Number
Odd Number
32. Number symbols
Numerals
Even Number
a curve - a surface or some other such object in n-dimensional space
Second Axiom of Equality
33. As shown earlier - c - di is the complex conjugate of the denominator c + di.
the number formed by the three right-hand digits is divisible by 8
subtraction
Factor of the given number
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
34. The relative greatness of positive and negative numbers
In Diophantine geometry
Numerals
magnitude
upward
35. A number is divisible by 6 if it is
7
even and the sum of its digits is divisible by 3
Place Value Concept
rectangular coordinates
36. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
difference
Natural Numbers
Distributive Law
addition
37. 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.
Set
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Associative Law of Multiplication
difference
38. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.
Multiple of the given number
Inversive geometry
Numerals
complex number
39. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
repeated elements
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.
solutions
40. The Arabic numerals from 0 through 9 are called
Digits
Prime Factor
Commutative Law of Multiplication
(x-12)/40
41. The number without a variable (5m+2). In this case - 2
multiplication
constant
Distributive Law
variable
42. Sum
Second Axiom of Equality
addition
one characteristic in common such as similarity of appearance or purpose
F - F+1 - F+2.......answer is F+2
43. Are used to indicate sets
upward
right-hand digit is even
7
Braces
44. 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.
constructing a parallelogram
Second Axiom of Equality
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
algebraic number
45. The number touching the variable (in the case of 5x - would be 5)
monomial
coefficient
consecutive whole numbers
constant
46. Less than
Definition of genus
subtraction
Q-16
Place Value Concept
47. A number is divisible by 3 if
Place Value Concept
its the sum of its digits is divisible by 3
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
addition
48. 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
Inversive geometry
its the sum of its digits is divisible by 3
addition
To separate a number into prime factors
49. Subtraction
In Diophantine geometry
difference
Complex numbers
Prime Factor
50. A number is divisible by 8 if
the number formed by the three right-hand digits is divisible by 8
order of operations
monomial
In Diophantine geometry