Test your basic knowledge |

CLEP General Mathematics: Number Systems And Sets

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 Arabic numerals from 0 through 9 are called
addition
complex number
Commutative Law of Multiplication
Digits

2. Any number that is exactly divisible by a given number is a
difference
solutions
Complex numbers
Multiple of the given number

3. 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
Digits
expression
Equal
algebraic number

4. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
Composite Number
constructing a parallelogram
negative
its the sum of its digits is divisible by 3

5. 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
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
negative
Equal
The real number a of the complex number z = a + bi

6. The finiteness or not of the number of rational or integer points on an algebraic curve
the genus of the curve
righthand digit is 0 or 5
T+9
a complex number is real if and only if it equals its conjugate.

7. The numbers which are used for counting in our number system are sometimes called
Natural Numbers
righthand digit is 0 or 5
addition
F - F+1 - F+2.......answer is F+2

8. Increased by
addition
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Algebraic number theory
Place Value Concept

9. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract
order of operations
repeated elements
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

10. Product
multiplication
subtraction
Place Value Concept
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.

11. 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
Even Number
In Diophantine geometry
righthand digit is 0 or 5
Odd Number

12. The greatest of 3 consecutive whole numbers - the smallest of which is F
magnitude
The real number a of the complex number z = a + bi
In Diophantine geometry
F - F+1 - F+2.......answer is F+2

13. Number symbols
constant
constructing a parallelogram
Numerals
subtraction

14. 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.
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
In Diophantine geometry
The numbers are conventionally plotted using the real part

15. Number T increased by 9
T+9
In Diophantine geometry
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
Composite Number

16. The objects in a set have at least
Base of the number system
one characteristic in common such as similarity of appearance or purpose
16(5+R)
Analytic number theory

17. 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:
Odd Number
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
addition
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).

18. A number that has factors other than itself and 1 is a
Composite Number
the sum of its digits is divisible by 9
coefficient
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.

19. 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
constructing a parallelogram
Positional notation (place value)
an equation in two variables defines
magnitude and direction

20. The number touching the variable (in the case of 5x - would be 5)
coefficient
F - F+1 - F+2.......answer is F+2
variable
Complex numbers

21. Any number that is not a multiple of 2 is an
addition
Q-16
Place Value Concept
Odd Number

22. A number is divisible by 4 if
the number formed by the two right-hand digits is divisible by 4
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
constant
order of operations

23. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
righthand digit is 0 or 5
equation
positive
a curve - a surface or some other such object in n-dimensional space

24. Product of 16 and the sum of 5 and number R
division
16(5+R)
the sum of its digits is divisible by 9
In Diophantine geometry

25. 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.
Place Value Concept
Commutative Law of Multiplication
a complex number is real if and only if it equals its conjugate.
multiplication

26. Are used to indicate sets
Numerals
Associative Law of Addition
solutions
Braces

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.
Associative Law of Addition
division
Prime Factor
the genus of the curve

28. 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 -
quadratic field
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
which shows that with complex numbers - a solution exists to every polynomial equation of degree one or higher.
Digits

29. 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.
Natural Numbers
Forth Axiom of Equality
the number formed by the two right-hand digits is divisible by 4
Algebraic number theory

30. More than
The numbers are conventionally plotted using the real part
Natural Numbers
addition
order of operations

31. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads
base-ten number
complex number
Equal
Absolute value and argument

32. First axiom of equality
Downward
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
counterclockwise through 90
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.

33. The set of all complex numbers is denoted by
Prime Number
Digits
polynomial
C or

34. The place value which corresponds to a given position in a number is determined by the
Associative Law of Multiplication
Base of the number system
monomial
The real number a of the complex number z = a + bi

35. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
In Diophantine geometry
rectangular coordinates
Even Number
K+6 - K+5 - K+4 K+3.........answer is K+3

36. 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.
an equation in two variables defines
Associative Law of Multiplication
Definition of genus
Forth Axiom of Equality

37. 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
Even Number
Multiple of the given number
Using the visualization of complex numbers in the complex plane - the addition has the following geometric interpretation:
The multiplication of two complex numbers is defined by the following formula:

38. A number is divisible by 9 if
In Diophantine geometry
subtraction
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
the sum of its digits is divisible by 9

39. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
Distributive Law
Number fields
Base of the number system
order of operations

40. Addition of two complex numbers can be done geometrically by
positive
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
solutions
constructing a parallelogram

41. The defining characteristic of a position vector is that it has
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).
Distributive Law
Factor of the given number
magnitude and direction

42. Any number that can be divided lnto a given number without a remainder is a
negative
Associative Law of Addition
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.

43. One term (5x or 4)
consecutive whole numbers
monomial
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
The multiplication of two complex numbers is defined by the following formula:

44. If a factor of a number is prime - it is called a
Odd Number
Associative Law of Multiplication
Number fields
Prime Factor

45. Has an equal sign (3x+5 = 14)
counterclockwise through 90
righthand digit is 0 or 5
complex number
equation

46. Number X decreased by 12 divided by forty
Here is called the modulus of a + bi - and the square root with non-negative real part is called the principal square root.
equation
(x-12)/40
Equal

47. 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
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
constant
complex 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.

48. Integers greater than zero and less than 5 form a set - as follows:
Associative Law of Addition
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
consecutive whole numbers
coefficient

49. 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
division
Definition of genus
Commutative Law of Addition
Natural Numbers

50. 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