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. Quotient
its the sum of its digits is divisible by 3
right-hand digit is even
Algebraic number theory
division

2. A number is divisible by 3 if
Braces
Downward
a curve - a surface or some other such object in n-dimensional space
its the sum of its digits is divisible by 3

3. LAWS FOR COMBINING NUMBERS
Place Value Concept
7
F - F+1 - F+2.......answer is F+2
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

4. A number that has no factors except itself and 1 is a
Prime Number
Absolute value and argument
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.
subtraction

5. 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
In Diophantine geometry
righthand digit is 0 or 5
subtraction
complex number

6. Decreased by
Number fields
variable
subtraction
The multiplication of two complex numbers is defined by the following formula:

7. 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:
The real number a of the complex number z = a + bi
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).
right-hand digit is even
Digits

8. A number is divisible by 5 if its
quadratic field
Inversive geometry
7
righthand digit is 0 or 5

9. 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
upward
The real number a of the complex number z = a + bi
Distributive Law
Numerals

10. Implies a collection or grouping of similar - objects or symbols.
Multiple of the given number
Set
the sum of its digits is divisible by 9
Absolute value and argument

11. 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.
solutions
Members of Elements of the Set
coefficient
Commutative Law of Addition

12. A number is divisible by 2 if
The numbers are conventionally plotted using the real part
division
right-hand digit is even
the number formed by the two right-hand digits is divisible by 4

13. The place value which corresponds to a given position in a number is determined by the
Base of the number system
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
upward
counterclockwise through 90

14. Increased by
addition
expression
In Diophantine geometry
Natural Numbers

15. 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.
Multiple of the given number
K+6 - K+5 - K+4 K+3.........answer is K+3
Digits
Complex numbers

16. 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.
equation
variable
Associative Law of Multiplication
the number formed by the three right-hand digits is divisible by 8

17. A curve in the plane
Second Axiom of Equality
Equal
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}
an equation in two variables defines

18. 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
a complex number is real if and only if it equals its conjugate.
Third Axiom of Equality
Forth Axiom of Equality

19. Any number that la a multiple of 2 is an
7
Even Number
Associative Law of Addition
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.

20. Number T increased by 9
the number formed by the two right-hand digits is divisible by 4
T+9
Base of the number system
The elements of a mathematical set are usually symbols - such as {1 - 2 - 3 - 4}

21. The real and imaginary parts of a complex number can be extracted using the conjugate:
the number formed by the two right-hand digits is divisible by 4
a complex number is real if and only if it equals its conjugate.
order of operations
right-hand digit is even

22. Any number that can be divided lnto a given number without a remainder is a
quadratic field
16(5+R)
subtraction
Factor of the given number

23. Less than
the number formed by the three right-hand digits is divisible by 8
Numerals
addition
subtraction

24. A number is divisible by 9 if
Commutative Law of Addition
subtraction
the sum of its digits is divisible by 9
solutions

25. 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
Place Value Concept
upward
multiplication
repeated elements

26. A number is divisible by 8 if
consecutive whole numbers
the number formed by the three right-hand digits is divisible by 8
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
Prime Factor

27. An equation - or system of equations - in two or more variables defines
Commutative Law of Multiplication
Natural Numbers
a curve - a surface or some other such object in n-dimensional space
rectangular coordinates

28. The Arabic numerals from 0 through 9 are called
monomial
Absolute value and argument
Digits
rectangular coordinates

29. 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
The numbers are conventionally plotted using the real part
division
Algebraic number theory
Natural Numbers

30. 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 and the sum of its digits is divisible by 3
The multiplication of two complex numbers is defined by the following formula:
coefficient
addition

31. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.
magnitude and direction
the number formed by the three right-hand digits is divisible by 8
Distributive Law
Multiple of the given number

32. The numbers which are used for counting in our number system are sometimes called
constructing a parallelogram
algebraic number
Natural Numbers
Digits

33. 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.
1. The associative laws of addition and multiplication. 2. The commutative laws of addition and multiplication. 3. The distributive law.
Associative Law of Addition
addition
equation

34. In the Rectangular Coordinate System - the direction to the left along the horizontal line is
addition
negative
'reflection' of z about the real axis. In particular - conjugating twice gives the original complex number: .
In Diophantine geometry

35. Remainder
polynomial
Base of the number system
counterclockwise through 90
subtraction

36. 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
Associative Law of Addition
Even Number
Place Value Concept
Positional notation (place value)

37. 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 -
Prime Factor
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:
Inversive geometry

38. As shown earlier - c - di is the complex conjugate of the denominator c + di.
F - F+1 - F+2.......answer is F+2
The real part c and the imaginary part d of the denominator must not both be zero for division to be defined.
solutions
C or

39. The smallest of four sonsecutive whole numbers - the biggest of which is K+6
C or
K+6 - K+5 - K+4 K+3.........answer is K+3
its the sum of its digits is divisible by 3
The numbers are conventionally plotted using the real part

40. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive
counterclockwise through 90
K+6 - K+5 - K+4 K+3.........answer is K+3
upward
constructing a parallelogram

41. In the Rectangular Coordinate System - the direction to the right along the horizontal line is
positive
expression
subtraction
addition

42. 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

43. 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.
base-ten number
Positional notation (place value)
division
Associative Law of Addition

44. The number without a variable (5m+2). In this case - 2
constant
complex number
constructing a parallelogram
Equal

45. More than
C or
constructing a parallelogram
solutions
addition

46. Does not have an equal sign (3x+5) (2a+9b)
The multiplication of two complex numbers is defined by the following formula:
expression
addition
Commutative Law of Addition

47. A letter tat represents a number that is unknown (usually X or Y)
Base of the number system
variable
Commutative Law of Multiplication
Numerals

48. First axiom of equality
Associative Law of Addition
Algebraic number theory
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.
Digits

49. Number X decreased by 12 divided by forty
constant
Distributive Law
Digits
(x-12)/40

50. The relative greatness of positive and negative numbers
subtraction
the number formed by the two right-hand digits is divisible by 4
magnitude
16(5+R)