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ELEMENTS > MESL (YELLOW BOOK 1.3) > Flashcards

MESL (YELLOW BOOK 1.3) Flashcards

1
Q

If the absolute error does not exceed a half unit in the last digit, this digit is usually referred to as the

A

RELIABLE DIGIT

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2
Q

The most significant digit of the number 0.2015 is

A

2

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3
Q

The _____ is stated in the magnitude of the absolute or relative error of the approximated value.

A

ACCURACY

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4
Q

The first non-zero digit from left of the number

A

LEADING DIGIT

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5
Q

It is any one of the digits from 1 to 9 inclusive, and 0 except when it is used to place a decimal

A

SIGNIFICANT DIGIT

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6
Q

In algebra, the operation of the root extraction is called

A

EVOLUTION

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7
Q

The operation of raising to the integral power known as

A

INVOLUTION

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8
Q

Each of two or more numbers which is multiplied together to form a product called

A

FACTORS

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9
Q

When the factors of a product are equal, the product is called ____ of the repeated factor.

A

POWER

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10
Q

A relation in which every order pair (x,y) has one and only one value of y that corresponds to the value of x is called

A

FUNCTION

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11
Q

Indicate the false statement.
The objects in a set are called elements
Even number is either rational or irrational
The additive inverse of number “a” is 1/a
The negative of zero is zero

A

The additive inverse of number “a” is 1/a

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12
Q

A symbol holding a place for an unspecified constant is called:
Arbitrary constant
Parameter
Variable
All of the above

A

All of the above

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13
Q

Which of the following is NOT true about significant figures?
All non-zero digits are significant
Any zero between non-zero digits are significant
Any zero not needed for placing a decimal point is not significant
Zero used for the purpose of placing a decimal point are not significant

A

Any zero not needed for placing a decimal point is not significant

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14
Q

The sum of any point number and its reciprocal is

A

Always greater than 2

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15
Q

What is the absolute value of a number less than one but greater than negative one raised to exponent infinity

A

ZERO

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16
Q

If a is an odd number and b is an even number, which of the following expression must be even?

A

ab

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17
Q

In the equation n x m = q, n is called the

A

Multiplicand

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18
Q

Any one of the individual constants of an expressed sum of constant is called

A

Addend

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19
Q

In the equation 5 + 2 = 7, 5 is known as

A

Augend

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20
Q

A number of a form a + bi with a and b real constant and i is the square root of -1.

A

Complex number

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21
Q

The absolute value of a non-zero number is

A

Always positive

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22
Q

A polynomial which is exactly divisible by two or more polynomials is called

A

Common Multiple

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23
Q

A polynomial with real coefficient can be factored into real linear factors and irreducible ___ factors.

A

Quadratic

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24
Q

If the degree of a numerator is one or more than the degree of the denominator, the quotient is a _____ polynomial.

A

Linear

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25
Q

Which of the following statements is NOT true?
The sum of even number is even
The difference of even number is even
The product of even number is even
The quotient of even number is even

A

The quotient of even number is even

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26
Q

For every law of addition and subtraction, there is a parallel law for multiplication and division, except division by

A

Zero

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27
Q

Indicate the FALSE statement:
The multiplicative identity is 1.
The product of a positive number and a negative number is negative
ab = ba is the associative law for multiplication
x2 – y2 = (x + y)(x – y)

A

ab = ba is the associative law for multiplication

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28
Q

For any two rational number a/b and c/d, which of the following relations is true?
a/b + c/d = ab/cd
a/b + c/d = (ab + cd)/ad
a/b + c/d = (ad + bc)/bd
ab + cd = ac/db

A

a/b + c/d = (ad + bc)/bd

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29
Q

Two rational numbers a/b and c/d are said to be equal if

A

ad = bc

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30
Q

Any number divided by infinity equals

A

0

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31
Q

The study of the properties of positive integers is known as

A

Number of Theory

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32
Q

Indicate the FALSE statement
A quotient of two polynomials is called as rational algebraic expression.
a3 – b3 = (a+b)(a2 – ab + b2)
The equation ax + b = 0 has exactly one root.
The equation 3x2+2y2-3x+2y=10

A

a3 – b3 = (a+b)(a2 – ab + b2)

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33
Q

A number is said to be in ___ when it is written as the product of a number having the decimal point just after the leading digit, and a power of 10.

A

Scientific Notation

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34
Q

A number which cannot be a root of an integral rational equation is called

A

Transcendental Number

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35
Q

Refers to the numbers which are not the roots of any algebraic equation.

A

Transcendental numbers

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36
Q

All number multiplied by ____ equals unity.

A

Its RECIPROCAL

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37
Q

The number denoted as “e” and equal to 2.718… is called

A

Euler’s number

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38
Q

A notation that represents the product of all positive integers from 1 to a number, n, inclusive

A

Factorial

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39
Q

The factorial symbol (!) was introduced in 1808 by

A

Christian Kramp

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40
Q

The conjecture that every even number (except 2) equals the sum of two prime numbers.

A

Goldbach Conjecture

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41
Q

The unending sequence of integers formed according to the rule that each integer is the sum of the preceding two.

A

Fibonacci Numbers

42
Q

It was conjecture that the number in the form, will always result to a prime number, however proved wrong. What do you call the numbers obtained using the said formula

A

Fermat Numbers

43
Q

A theorem which states that if n > 2, the equation xn + yn = zn cannot be solved in positive integers x, y, and z.

A

Fermat’s Theorem

44
Q

The number pi = 3.141592654… If only four decimals are required, it becomes 3.1415. This process is called

A

Truncation

45
Q

A set of all subjects of a given set, containing the empty set and the original set.

A

Power Set

46
Q

A set containing the elements that is common to the original sets.

A

Intersection.

47
Q

If an infinite series has a finite sum, it is referred to as a

A

Convergent Series

48
Q

If an infinite series has no sum, it is referred to as a

A

Divergent Series

49
Q

The sum of the factorial infinite 1 + 1/1! + 1/2! + 1/3! + ¼! …. Is

A

e

50
Q

Refers exclusively to equations with integer solutions

A

Diophantine Equations

51
Q

“My Dear Aunt Sally” is the basic rule used in operation of algebra. Which is used in determining the signs of trigonometric functions in all quadtrants?

A

All Students Take Chemistry

52
Q

The investigation of numbers, space, and many generalizations of these concepts created by the intellectual genius of man.

A

Mathematics

53
Q

QED is often written at the end of a proof to indicate that its conclusion has been reached. This means

A

Duod Erat Demonstrandum

54
Q

A sequence of numbers where the succeeding term is greater than the preceding term

A

Divergent series

55
Q

The process of reasoning wherein a final conclusion is obtained by experimental method.

A

Mathematical Deduction

56
Q

The set of all subjects of a given set, containing the empty set and the original set

A

Power Set

57
Q

A sequence having a defined first and last term is called

A

Finite Sequence

58
Q

A series is said to be ___ if it converges when the terms are replaced by their absolute value.

A

Absolute Convergent

59
Q

A convergent series is said to be ____ if it diverges when the terms are replaces by their absolute values

A

Conditional Convergent

60
Q

Refers to the product of the several prime numbers occurring in the denominations, each taken with its greater multiplicity

A

Least Common Denominator

61
Q

The sum of the exponents of the several variables of the term is referred to as the ___ of the term

A

Degree

62
Q

Venn diagram is a pictorial representation which helps us visualize the relations and operations with sets. This was introduced by

A

John Venn

63
Q

The symbol of equality (=) was introduced in 1557 by

A

Robert Recorde

64
Q

The number 0.123123123123… is a/an ___ number

A

Rational

65
Q

In algebra, the operation of root extraction is called

A

Evolution

66
Q

The difference between an approximate value of a quantity and its exact value or true value is called

A

Absolute Error

67
Q

MXCMXCIV is a roman numeral equivalent to ___.

A

1994

68
Q

If the roots of an equation are zero, then they are classified as _____

A

Trivial Solution

69
Q

A sequence of numbers where succeeding term is greater than the preceding term.

A

Divergent Series

70
Q

Which of the following cannot be operation of matrices?

A

Division

71
Q

Converging series is a sequence of decreasing numbers or when succeeding term is ____ than the preceding term.

A

Lesser

72
Q

It is the characteristic of a population, which is measurable.

A

Frequency

73
Q

The quartile deviation is a measure of ___

A

Dispersion

74
Q

In complex algebra, we use a diagram to represent a complex plane commonly called _______.

A

Argand Diagram

75
Q

What is the lowest common factor of 10 and 32?

A

2

76
Q

It is a sequence of numbers such that successive terms differ by a constant

A

Arithmetic Progression

77
Q

A frequency curve which is composed of a series of rectangle constructed with the steps as the base and the frequency as the height

A

Histogram

78
Q

Equations relating x and y that cannot readily be solved explicitly for y as a function of x or x as a function of y. Such equation may nonetheless determine y as a function of x or vice versa. Such function is called ___________.

A

Implicit Function

79
Q

It is a measure of relationship between two variables

A

Correlation

80
Q

If a = b and b = a. This illustrates which axiom in Algebra?

A

Symmetric Axiom

81
Q

In general quadratic equation, if the discriminant is zero, the curve is a figure that represents a/an ____.

A

Parabola

82
Q

The periodic oscillations either up or down or back and forth motion in a straight line is known as ___.

A

Translation Harmonic Motion

83
Q

The smallest natural number of which 2 natural numbers are factors

A

Least Common Multiple

84
Q

Which of the following is not a measure of dispersion

A

Mode

85
Q

Which of the following is not a measure of central tendency?

A

Mean-Deviation

86
Q

The observation which occurs most frequently is known as _____.

A

Mode

87
Q

If A = { 1,2,3,4 } and B = { 3,4,5,6 }, then

A

A – B = { 1,2 }

88
Q

If A = { 1,2,3,4 } and B = { 3,4,5,6 }, then:

A

B – A = { 5,6 }

89
Q

A set is _______.

A

A Well-Defined Collection of Objects

90
Q

An empty set is _______.

A

A Set Having No Elements

91
Q

A universal set is _________.

A

The Superset Of Every Set Under Consideration

92
Q

If A is set of natural numbers and B is the set of odd integers, then A – B is ________.

A

The Set of Positive Even Integers

93
Q

There are “n” persons seated in a round table. They can occupy their seats in _____ ways.

A

( n – 1 )!

94
Q

The number of significant digits in the number 3.4050 is ___.

A

5

95
Q

The prefix nano denotes a multiple of ____.

A

10 raised to -9

96
Q

The number 3.840 x 105 has how many significant digits

A

4

97
Q

Nonterminating, nonrepeating numbers that cannot be expressed as the ratio of two integers are ____.

A

Irrational Real Numbers

98
Q

The coefficient of a polynomial generated by the binomial theorem can be found from _________.

A

Pascal’s Triangle

99
Q

The number pi is described most correctly as:

A

Irrational real number

100
Q

Imaginary numbers consist of ____________.

A

Square root of negative numbers

ELEMENTS (7 decks)

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