Engineering Mathematics 1001

Question 1

An item that descibes a magnitude or a position.

Answer 1

Number

Question 2

Two types of numbers

Answer 2

1. Ordinal Numbers
2. Cardinal Numbers

Question 3

Are numbers that allow us to count objects or ideas in a given collection.

Answer 3

Cardinal Numbers

Question 4

Are symbols or combination of symbols which describe a number.

Answer 4

Numberals

Question 5

Modification of Hindu-Arabic number signs and are written in Arabic digits.

Answer 5

Arabic Numberals

Question 6

Numbers that are written in Latin alphabet.

Answer 6

Roman numerals

Question 7

Roman numberals and their equivalent Arabic Numbers

Answer 7

I = 1 C = 100
V = 5 D = 500
X = 10 M = 1000
L = 50

Question 8

If Roman numerals have brackets [ ], you must?

Answer 8

Multiply it by 100 times

Question 9

If Roman numerals have a vinculum(bar above the number), you must?

Answer 9

Multiply it by 1000 times

Question 10

If Roman numerals have a doorframe(bar above the number and brackets), you must?

Answer 10

Multiply it by 1 000 000 times

Question 11

It is a specific symbol or symbols used alone or in combination to denote a number.

Answer 11

Digit

Question 12

Two categories of number system.

Answer 12

1. Real numbers
2. Imaginary numbers

Question 13

Classification of Real Numbers:

Answer 13

1. Natural numbers
   
   • Are counting numbers.
2. Integers
   
   • all natural numbers, including positive, negative, and zero.
3. Rational numbers
   
   • can be expressed as a quotient or ratio of two integers.
   • All integers are rational numbers.
4. Irrational numbers
   
   • can not be expressed as a quotient of two integes.

Question 14

Imaginary Numbers

Answer 14

i = sqrt of -1 (i)
i^2 = -1
i^3 = - sqrt of -1 (-i)
i^4 = 1

Question 15

Is an expression of both real and imaginary numbers combined.

Answer 15

Complex Number

Question 16

Is a diagram/chart that shows the two sub-classifications of the two basic classifications of numbers.

Answer 16

System of Numbers

Question 17

Are positive numbers that has more than two positve whole number factors.

Answer 17

Composite Numbers

Question 18

Is an integer greater than 1 and is divisible only by 1 and itself.

Answer 18

Prime Number

Question 19

The only even prime number.

Answer 19

2

Question 20

Types of Prime Numbers:

Answer 20

1. Twin primes
2. Symmetric primes
3. Emirp
4. Relatively prime
5. Unique product of power of prime

Question 21

Are numbers that have only two factors: 1 and the number

Answer 21

Natural Prime

Question 22

Set of two, consecutive odd primes, which differ by 2.

Answer 22

Twin Primes

Question 23

A pair of prime numbers that are the same distance from a given number.

Also called Euler Primes

Answer 23

Symmetric primes

Question 24

Remains a prime when its digit is reversed.

Answer 24

Emirp

Question 25

Numbers whose greates common factor is 1

Answer 25

Relatively prime numbers

Question 26

The factors are prime numbers raised to a certain power.

Answer 26

Unique product of power of primes

Question 27

Is an integer that is equal to the sum of all possible divisors, except the number itselt.

Answer 27

Perfect Number 2^(P-1)(2^P-1)

Question 28

If the sum of the possible divisors is greater than the number.

Answer 28

Abundant number

Question 29

An integer with the sum of all its possible divisors is less than the number.

Answer 29

Defective number/ Deficient number.

Question 30

Are two integers where each is the sum of all the possible divisors of the other.

Answer 30

Amicale/ friendly numbers

Question 31

Who introduced the factorial symbol (!)

Answer 31

Christian Kramp (1808)

Question 31

Are digits that define the numerical value of a number.

Answer 31

Significant figures or digits

Question 32

What is considered the place of accuracy?

Answer 32

The number of significant digit

Question 33

Two Forms of Approximations:

Answer 33

1. Rounding - Replacing the number with another number having fewer significant digits. 2. Truncations - Dropping of the next digits to obtain the degree of accuracy beyond the need of practical calculations.

Question 34

Was named after a Swedish astronomer Anders Celcius(1701-1744)

Answer 34

Celcius boiling point = 100 deg. freezing point = 0 deg.

Question 35

Was named after the German physicist, Gabriel Daniel Fahrenheit (1686-1736)

Answer 35

Fahrenheit boiling point = 212 deg. freezing point = 32 deg.

Question 36

Absolute temperature may be expressed in?

Answer 36

Kelvin or Rankine

Question 37

Was named after the British physicist, William Thompson (1824-1902)

Answer 37

Kelvin K = C + 273

Question 38

Was named after the Scottish engineer and physicist, William John Macquom Rankine (1820-1872)

Answer 38

Rankine R = F + 490

Question 39

Four units commonly used to measure an angle:

Answer 39

1. Degrees 2. Radians 3. Grads 4. Mils

Question 40

a + b = integer

Answer 40

Closure property of Addition

Question 41

a + b = b + a

Answer 41

Commutative Property of Addition

Question 42

(a + b) + c = a + (b + c)

Answer 42

Associative Property of Addition

Question 43

a + 0 = a

Answer 43

Identity Property of Addition

Question 44

a + (-a) = 0

Answer 44

Inverse Property of Addition -a is called the additive inverse

Question 45

a(b + c) = ab + ac

Answer 45

Distribitive Property of Addition

Question 46

ab = integer

Answer 46

Closure Property of Multiplication

Question 47

ab = ba

Answer 47

Commutative Property of Multiplication

Question 48

(ab)c = a(bc)

Answer 48

Associative Property of Multiplication

Question 49

a x 1 = a

Answer 49

Identity Property of Multiplication - 1 is called the multiplicative identity

Question 50

a(1/a) = 1

Answer 50

Inverse Property of Multiplication - (1/a) is called the multiplicative inverse

Question 51

a(b + c) = ab + ac

Answer 51

Distributive Property of Multiplication

Question 52

a(0) = 0

Answer 52

Multiplication Property of Zero

Question 53

0/a ->where "a" is not 0

Answer 53

0

Question 54

a/0

Answer 54

undefined

Question 55

ab = 0

Answer 55

zero factor property

Question 56

A number that gives the power to which a base is raised.

Answer 56

Exponent

Question 57

Who was the person who first used the radical symbol in his "Die Cross" in 1525

Answer 57

Christoff Rudolff

Question 58

A radical expressing an irrational number.

Answer 58

Surd

Question 59

Different Types of Surd

Answer 59

1. Pure Surd - has no rational number 2. Mixed Surd - contains at least one rational number 3. Binomial Surd - two terms with at least one term surd 4. Trinomial Surd - three terms with at least two of them are surds

Question 60

values can be obtained without execution of long multipication.

Answer 60

Special Products

Question 61

Product of several prime numbers occurting in the denominators.

Answer 61

LCD

Question 62

A theorem that states that "If a polynomial is divided by (x - k) will result to a remainder of 0, then (x - k) is the factor of the polynomial "

Answer 62

Factor Theorem

Question 63

A theorem that states that "remainder = f(k) with limits x to k "

Answer 63

Remainder Theorem

Question 64

An equation that contains the variable squared, but not raised to any higher power.

Answer 64

Quadratic Equation

Question 65

Gives the result of raising a binomial expression to a certain power.

Answer 65

Binomial Theorem

Question 66

Coefficients of a binomial expansion can be obtained by arranging them in a triangular array or pattern.

Answer 66

Pascal's Triangle by Blaise Pascal a French Mathematician

Question 67

Comes from the greek word "logus" meaning "ratio" and "arithmus" meaning "number" invented by John Napier

Answer 67

logarithm

Question 68

Logarithm with base 10 is called?

Answer 68

common logarithm or Briggsian logarithm

Question 70

"e" is the base of a natural logarithm and it is called?

Answer 70

Euler's number