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 number is divisible by 4 if
counterclockwise through 90
the number formed by the two right-hand digits is divisible by 4
Numerals
consecutive whole numbers
2. A number is divisible by 9 if
the sum of its digits is divisible by 9
Associative Law of Multiplication
K+6 - K+5 - K+4 K+3.........answer is K+3
Place Value Concept
3. Sum
the sum of its digits is divisible by 9
monomial
magnitude
addition
4. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
addition
coefficient
negative
The numbers are conventionally plotted using the real part
5. An equation - or system of equations - in two or more variables defines
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
a curve - a surface or some other such object in n-dimensional space
difference
even and the sum of its digits is divisible by 3
6. Integers greater than zero and less than 5 form a set - as follows:
Associative Law of Addition
Place Value Concept
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
coefficient
7. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number
order of operations
Third Axiom of Equality
counterclockwise through 90
addition
8. The set of all complex numbers is denoted by
C or
Multiple of the given number
addition
subtraction
9. 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
Numerals
Inversive geometry
addition
10. The place value which corresponds to a given position in a number is determined by the
7
Base of the number system
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.
11. This formula can be used to compute the multiplicative inverse of a complex number if it is given in
Analytic number theory
Inversive geometry
negative
rectangular coordinates
12. The greatest of 3 consecutive whole numbers - the smallest of which is F
counterclockwise through 90
(x-12)/40
The real number a of the complex number z = a + bi
F - F+1 - F+2.......answer is F+2
13. Any number that is exactly divisible by a given number is a
7
Multiple of the given number
subtraction
Factor of the given number
14. 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.
Factor of the given number
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.
solutions
15. A number that has factors other than itself and 1 is a
Multiple of the given number
counterclockwise through 90
Composite Number
Even Number
16. LAWS FOR COMBINING NUMBERS
Even Number
Digits
Braces
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
17. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}
repeated elements
subtraction
the sum of its digits is divisible by 9
Downward
18. Are used to indicate sets
Braces
even and the sum of its digits is divisible by 3
addition
constant
19. Less than
monomial
Factor of the given number
Positional notation (place value)
subtraction
20. Decreased by
positive
Set
subtraction
equation
21. Any number that la a multiple of 2 is an
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.
positive
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
22. The real and imaginary parts of a complex number can be extracted using the conjugate:
7
a complex number is real if and only if it equals its conjugate.
order of operations
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
23. Quotient
right-hand digit is even
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.
division
F - F+1 - F+2.......answer is F+2
24. 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.
Associative Law of Addition
Prime Factor
repeated elements
Second Axiom of Equality
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.
Number fields
F - F+1 - F+2.......answer is F+2
Third Axiom of Equality
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
26. 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
Positional notation (place value)
Digits
Members of Elements of the Set
27. Number X decreased by 12 divided by forty
quadratic field
(x-12)/40
Analytic number theory
Associative Law of Multiplication
28. Total
The absolute value (or modulus or magnitude) of a complex number z = x + yi is
Associative Law of Multiplication
addition
Members of Elements of the Set
29. Number symbols
Associative Law of Addition
Numerals
7
an equation in two variables defines
30. Product of 16 and the sum of 5 and number R
quadratic field
magnitude
Forth Axiom of Equality
16(5+R)
31. The numbers which are used for counting in our number system are sometimes called
base-ten number
division
Set
Natural Numbers
32. 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
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
algebraic number
Analytic number theory
33. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
a complex number is real if and only if it equals its conjugate.
Set
Multiple of the given number
upward
34. Product
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).
negative
multiplication
constant
35. 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
Commutative Law of Addition
T+9
Q-16
36. 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
counterclockwise through 90
equation
In Diophantine geometry
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).
37. Has an equal sign (3x+5 = 14)
Prime Factor
equation
Definition of genus
Positional notation (place value)
38. The defining characteristic of a position vector is that it has
magnitude and direction
The multiplication of two complex numbers is defined by the following formula:
Associative Law of Multiplication
Members of Elements of the Set
39. 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
order of operations
the sum of its digits is divisible by 9
Base of the number system
complex number
40. 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 number formed by the two right-hand digits is divisible by 4
K+6 - K+5 - K+4 K+3.........answer is K+3
the number formed by the three right-hand digits is divisible by 8
Forth Axiom of Equality
41. 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.
the genus of the curve
quadratic field
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
monomial
42. The number touching the variable (in the case of 5x - would be 5)
addition
(x-12)/40
coefficient
a complex number is real if and only if it equals its conjugate.
43. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th
The real number a of the complex number z = a + bi
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
In Diophantine geometry
Forth Axiom of Equality
44. The relative greatness of positive and negative numbers
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
magnitude
addition
Third Axiom of Equality
45. 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
its the sum of its digits is divisible by 3
7
The multiplication of two complex numbers is defined by the following formula:
Odd Number
46. Plus
(x-12)/40
repeated elements
C or
addition
47. 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
consecutive whole numbers
Third Axiom of Equality
Algebraic number theory
Set
48. One term (5x or 4)
repeated elements
Composite Number
constructing a parallelogram
monomial
49. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative
7
The multiplication of two complex numbers is defined by the following formula:
Downward
Algebraic number theory
50. Any number that is not a multiple of 2 is an
quadratic field
Odd Number
Complex numbers
Downward