MMW

Question 1

facilitates communication and clarifies meaning. It allows people to express themselves and maintain their identity

Answer 1

Language

Question 2

if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller.

Answer 2

golden ratio

Question 3

is constructed by placing together rectangles of relative side lengths equaling Fibonacci numbers.

Answer 3

Fibonacci spiral

Question 4

“The beautiful never lacks proportion.” -

Answer 4

Plato

Question 5

If it contains the golden ratio

Answer 5

Euclid

Question 6

discovered the sequence. The sequence begins with number is the sum of the two preceding numbers.

Answer 6

Leonardo Fibonacci

Question 7

Characteristics of the language of Mathematics

Answer 7

1. Precise -accurate
2. Concise - brief
3. Powerful - strong

Question 8

is the science of correct reasoning.

Answer 8

Logic

Question 9

A statement is a ______ that is either true or false but not both.

Answer 9

declarative sentence

Question 10

is a statement that conveys a single idea.

Answer 10

Simple statement

Question 11

A ___ statement is a statement that conveys two or more ideas. Use words or phrases such as “and”, “or”, “if-then”, and “if and only if” to create a compound statement.

Answer 11

compound

Question 12

If not P then not Q

Answer 12

Inverse

Question 13

If Q then P

Answer 13

Converse

Question 14

If not Q then not P

Answer 14

Contapositive

Question 15

is a table that shows the truth value of a compound statement for all possible truth values of its simple statements.

Answer 15

Truth table

Question 16

is the mathematical analogue of an English noun.

Answer 16

expression

Question 17

is the analogue of an English sentences.

Answer 17

mathematical sentence

Question 18

Equal sign and inequality signs are “___”

Answer 18

verbs

Question 19

operations and logical symbols are “____”.

Answer 19

connectives

Question 20

are the numbers 1, 2, 3, 4, 5 and so on, obtained by adding 1 over and over again. It is denoted by the symbol N.

Answer 20

natural numbers

Question 21

The set of natural numbers together with zero is called the set of _____, denoted by W.

Answer 21

whole numbers

Question 22

The set of numbers whose elements are the positive integers, the negative integers and zero is called the set of ____, denoted by Z.

Answer 22

integers

Question 23

Let p and q to be an integer and q 0. The set of numbers that are expressed a quotient of p and q, i.e., is called the set of ____, denoted by Q.

Answer 23

rational numbers

Question 24

The set of numbers whose decimal representations are non- terminating & non-repeating and cannot be expressed as ratio of two integers is called the set of _____

Answer 24

irrational numbers

Question 25

The union of the set of rational numbers and the set of irrational numbers is the set of ____, denoted by R.

Answer 25

real numbers

Question 26

says that a certain property is true (or false) for all elements in a set.

Answer 26

universal statement

Question 27

says that there is at least one thing for which the property is true.

Answer 27

existential statement

Question 28

are used to described the variable/s in a statement.

Answer 28

Quantifiers