MESL (YELLOW BOOK 1.3) Flashcards
If the absolute error does not exceed a half unit in the last digit, this digit is usually referred to as the
RELIABLE DIGIT
The most significant digit of the number 0.2015 is
2
The _____ is stated in the magnitude of the absolute or relative error of the approximated value.
ACCURACY
The first non-zero digit from left of the number
LEADING DIGIT
It is any one of the digits from 1 to 9 inclusive, and 0 except when it is used to place a decimal
SIGNIFICANT DIGIT
In algebra, the operation of the root extraction is called
EVOLUTION
The operation of raising to the integral power known as
INVOLUTION
Each of two or more numbers which is multiplied together to form a product called
FACTORS
When the factors of a product are equal, the product is called ____ of the repeated factor.
POWER
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
FUNCTION
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
The additive inverse of number “a” is 1/a
A symbol holding a place for an unspecified constant is called:
Arbitrary constant
Parameter
Variable
All of the above
All of the above
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
Any zero not needed for placing a decimal point is not significant
The sum of any point number and its reciprocal is
Always greater than 2
What is the absolute value of a number less than one but greater than negative one raised to exponent infinity
ZERO
If a is an odd number and b is an even number, which of the following expression must be even?
ab
In the equation n x m = q, n is called the
Multiplicand
Any one of the individual constants of an expressed sum of constant is called
Addend
In the equation 5 + 2 = 7, 5 is known as
Augend
A number of a form a + bi with a and b real constant and i is the square root of -1.
Complex number
The absolute value of a non-zero number is
Always positive
A polynomial which is exactly divisible by two or more polynomials is called
Common Multiple
A polynomial with real coefficient can be factored into real linear factors and irreducible ___ factors.
Quadratic
If the degree of a numerator is one or more than the degree of the denominator, the quotient is a _____ polynomial.
Linear
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
The quotient of even number is even
For every law of addition and subtraction, there is a parallel law for multiplication and division, except division by
Zero
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)
ab = ba is the associative law for multiplication
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/b + c/d = (ad + bc)/bd
Two rational numbers a/b and c/d are said to be equal if
ad = bc
Any number divided by infinity equals
0
The study of the properties of positive integers is known as
Number of Theory
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
a3 – b3 = (a+b)(a2 – ab + b2)
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.
Scientific Notation
A number which cannot be a root of an integral rational equation is called
Transcendental Number
Refers to the numbers which are not the roots of any algebraic equation.
Transcendental numbers
All number multiplied by ____ equals unity.
Its RECIPROCAL
The number denoted as “e” and equal to 2.718… is called
Euler’s number
A notation that represents the product of all positive integers from 1 to a number, n, inclusive
Factorial
The factorial symbol (!) was introduced in 1808 by
Christian Kramp
The conjecture that every even number (except 2) equals the sum of two prime numbers.
Goldbach Conjecture
The unending sequence of integers formed according to the rule that each integer is the sum of the preceding two.
Fibonacci Numbers
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
Fermat Numbers
A theorem which states that if n > 2, the equation xn + yn = zn cannot be solved in positive integers x, y, and z.
Fermat’s Theorem
The number pi = 3.141592654… If only four decimals are required, it becomes 3.1415. This process is called
Truncation
A set of all subjects of a given set, containing the empty set and the original set.
Power Set
A set containing the elements that is common to the original sets.
Intersection.
If an infinite series has a finite sum, it is referred to as a
Convergent Series
If an infinite series has no sum, it is referred to as a
Divergent Series
The sum of the factorial infinite 1 + 1/1! + 1/2! + 1/3! + ¼! …. Is
e
Refers exclusively to equations with integer solutions
Diophantine Equations
“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?
All Students Take Chemistry
The investigation of numbers, space, and many generalizations of these concepts created by the intellectual genius of man.
Mathematics
QED is often written at the end of a proof to indicate that its conclusion has been reached. This means
Duod Erat Demonstrandum
A sequence of numbers where the succeeding term is greater than the preceding term
Divergent series
The process of reasoning wherein a final conclusion is obtained by experimental method.
Mathematical Deduction
The set of all subjects of a given set, containing the empty set and the original set
Power Set
A sequence having a defined first and last term is called
Finite Sequence
A series is said to be ___ if it converges when the terms are replaced by their absolute value.
Absolute Convergent
A convergent series is said to be ____ if it diverges when the terms are replaces by their absolute values
Conditional Convergent
Refers to the product of the several prime numbers occurring in the denominations, each taken with its greater multiplicity
Least Common Denominator
The sum of the exponents of the several variables of the term is referred to as the ___ of the term
Degree
Venn diagram is a pictorial representation which helps us visualize the relations and operations with sets. This was introduced by
John Venn
The symbol of equality (=) was introduced in 1557 by
Robert Recorde
The number 0.123123123123… is a/an ___ number
Rational
In algebra, the operation of root extraction is called
Evolution
The difference between an approximate value of a quantity and its exact value or true value is called
Absolute Error
MXCMXCIV is a roman numeral equivalent to ___.
1994
If the roots of an equation are zero, then they are classified as _____
Trivial Solution
A sequence of numbers where succeeding term is greater than the preceding term.
Divergent Series
Which of the following cannot be operation of matrices?
Division
Converging series is a sequence of decreasing numbers or when succeeding term is ____ than the preceding term.
Lesser
It is the characteristic of a population, which is measurable.
Frequency
The quartile deviation is a measure of ___
Dispersion
In complex algebra, we use a diagram to represent a complex plane commonly called _______.
Argand Diagram
What is the lowest common factor of 10 and 32?
2
It is a sequence of numbers such that successive terms differ by a constant
Arithmetic Progression
A frequency curve which is composed of a series of rectangle constructed with the steps as the base and the frequency as the height
Histogram
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 ___________.
Implicit Function
It is a measure of relationship between two variables
Correlation
If a = b and b = a. This illustrates which axiom in Algebra?
Symmetric Axiom
In general quadratic equation, if the discriminant is zero, the curve is a figure that represents a/an ____.
Parabola
The periodic oscillations either up or down or back and forth motion in a straight line is known as ___.
Translation Harmonic Motion
The smallest natural number of which 2 natural numbers are factors
Least Common Multiple
Which of the following is not a measure of dispersion
Mode
Which of the following is not a measure of central tendency?
Mean-Deviation
The observation which occurs most frequently is known as _____.
Mode
If A = { 1,2,3,4 } and B = { 3,4,5,6 }, then
A – B = { 1,2 }
If A = { 1,2,3,4 } and B = { 3,4,5,6 }, then:
B – A = { 5,6 }
A set is _______.
A Well-Defined Collection of Objects
An empty set is _______.
A Set Having No Elements
A universal set is _________.
The Superset Of Every Set Under Consideration
If A is set of natural numbers and B is the set of odd integers, then A – B is ________.
The Set of Positive Even Integers
There are “n” persons seated in a round table. They can occupy their seats in _____ ways.
( n – 1 )!
The number of significant digits in the number 3.4050 is ___.
5
The prefix nano denotes a multiple of ____.
10 raised to -9
The number 3.840 x 105 has how many significant digits
4
Nonterminating, nonrepeating numbers that cannot be expressed as the ratio of two integers are ____.
Irrational Real Numbers
The coefficient of a polynomial generated by the binomial theorem can be found from _________.
Pascal’s Triangle
The number pi is described most correctly as:
Irrational real number
Imaginary numbers consist of ____________.
Square root of negative numbers
