MESL (YELLOW BOOK 1.3) Flashcards by Romnick Jay Pagal

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

RELIABLE DIGIT

How well did you know this?

Not at all

Perfectly

The most significant digit of the number 0.2015 is

How well did you know this?

Not at all

Perfectly

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

ACCURACY

How well did you know this?

Not at all

Perfectly

The first non-zero digit from left of the number

LEADING DIGIT

How well did you know this?

Not at all

Perfectly

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

How well did you know this?

Not at all

Perfectly

In algebra, the operation of the root extraction is called

EVOLUTION

How well did you know this?

Not at all

Perfectly

The operation of raising to the integral power known as

INVOLUTION

How well did you know this?

Not at all

Perfectly

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

FACTORS

How well did you know this?

Not at all

Perfectly

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

POWER

How well did you know this?

Not at all

Perfectly

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

How well did you know this?

Not at all

Perfectly

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

How well did you know this?

Not at all

Perfectly

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

All of the above

How well did you know this?

Not at all

Perfectly

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

How well did you know this?

Not at all

Perfectly

The sum of any point number and its reciprocal is

Always greater than 2

How well did you know this?

Not at all

Perfectly

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

ZERO

How well did you know this?

Not at all

Perfectly

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

How well did you know this?

Not at all

Perfectly

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

Multiplicand

How well did you know this?

Not at all

Perfectly

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

Addend

How well did you know this?

Not at all

Perfectly

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

Augend

How well did you know this?

Not at all

Perfectly

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

Complex number

How well did you know this?

Not at all

Perfectly

The absolute value of a non-zero number is

Always positive

How well did you know this?

Not at all

Perfectly

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

Common Multiple

How well did you know this?

Not at all

Perfectly

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

Quadratic

How well did you know this?

Not at all

Perfectly

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

Linear

How well did you know this?

Not at all

Perfectly

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

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

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?

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 ___.

The prefix nano denotes a multiple of ____.

10 raised to -9

The number 3.840 x 105 has how many significant digits

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

MESL (YELLOW BOOK 1.3) Flashcards

(100 cards)