(LESSON 3) The Language of Mathematics and Sets

Question 1

TRUE OR FALSE?

The following are the characteristics of the language of mathematics: precise, concise, and powerful.

Answer 1

TRUE

Question 2

It is the is the system used to communicate mathematical ideas.

Answer 2

Mathematical Language

Question 3

Mathematical Language has a ______ o make the expression well-formed to make the characters and symbols clear and valid that do not violate the rules.

Answer 3

Syntax

Question 4

They can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine the order of operations, and other aspects of logical syntax.

Answer 4

Mathematics symbols

Question 5

A characteristic of Mathematical Language that means being able to make a very fine distinction.

a) Precision
b) Concise
c) Powerful

Answer 5

a) Precision

Question 6

A characteristic of Mathematical Language that means being able to say things briefly.

a) Precision
b) Concise
c) Powerful

Answer 6

b) Concise

Question 7

A characteristic of Mathematical Language that means being able to express complex thoughts with relative ease.

a) Precision
b) Concise
c) Powerful

Answer 7

c) Powerful

Question 8

It is a finite combination of symbols that is well-defined according to rules that depend on the context.

Answer 8

(mathematical) expression

Question 9

TRUE OR FALSE?

Mathematical Sentence is a correct arrangement of mathematical symbols used to represent the object of interest, it does not contain a complete thought and it cannot determine if it is true or false.

Answer 9

FALSE. The statement refers to Mathematical Expression.

Question 10

The most common type involving an expression is?

Answer 10

Simplify

Question 11

TRUE OR FALSE?

Simpler means using fewer symbols.

Answer 11

TRUE

Question 12

TRUE OR FALSE?

Simpler means using several operations.

Answer 12

FALSE. Just a few should do.

Question 13

TRUE OR FALSE?

Simpler means using better suited for the current use.

Answer 13

TRUE

Question 14

TRUE OR FALSE?

Simpler means in a general style or format.

Answer 14

FALSE. Simpler means in a preferred style or format.

Question 15

It is is merely a set of rules that prioritize the sequence of operations starting from the most important to the least important.

Answer 15

Order of Operations

Question 16

It makes a statement about two expressions, either using numbers, variables, or a combination of both.

Answer 16

Mathematical Sentence

Question 17

It is a correct arrangement of mathematical symbols that states a complete thought and can be determined whether it’s true, false, or sometimes true/sometimes false.

Answer 17

Mathematical Sentence

Question 18

It is a sentence with a truth value of true (or false).

Examples:
8 is an even number
9 is an even number

Answer 18

Closed Sentence

Question 19

It is a sentence when it is not known if it is true or false.

Examples:
N is an even number

Answer 19

Open Sentence

Question 20

It is a fact, name, notation, or usage which is generally agreed upon by mathematicians.

Answer 20

mathematical convention

Question 21

According to them, “Mathematics is the language in which God has written the universe”

Answer 21

Galileo Galilei

Question 22

It is the branch of mathematics that studies sets or the mathematical science of the infinite.

Answer 22

Set theory

Question 23

The study of sets has become a fundamental theory in mathematics in the 1870s which was introduced by ____, a German mathematician.

Answer 23

Georg Ferdinand Ludwig Philipp Cantor

Question 24

It is a well-defined collection of objects; the objects are called the elements or members.

Answer 24

Set

Question 25

TRUE OR FALSE? To describe a set, we use braces { } and use capital letters to represent it.

Answer 25

TRUE

Question 26

TRUE OR FALSE? The symbol ϵ is used to denote that an object is an element of a set.

Answer 26

TRUE

Question 27

It is the method where the set is enumerated or listed and each element is separated by a comma.

Answer 27

Roster method or Tabulation method

Question 28

It is a method that is used to describe the elements or members of the set.

Answer 28

Rule method or Set Builder Notation

Question 29

It is a set whose elements are limited or countable, and the last element can be identified.

Answer 29

Finite Set

Question 30

It is a set whose elements are unlimited or uncountable, and the last element cannot be specified.

Answer 30

Infinite Set

Question 31

The three dots in enumerating the elements of the set are called ____, which indicates a continuing pattern.

Answer 31

ellipsis

Question 32

It is a set with only one element.

Answer 32

Unit Set

Question 33

It is a unique set with no element.

Answer 33

Empty/Null Set

Question 34

It is the number of elements or members in the set.

Answer 34

The Cardinality Number of a Set

Question 35

Two sets are equal if they have the same elements.

Answer 35

Equal sets

Question 36

It is a set that contains everything.

Answer 36

Universal set

Question 37

When we define a set and we take pieces of that set, we can form what is called a?

Answer 37

Subset

Question 38

It is denoted by ∪.

Answer 38

Union of sets (or)

Question 39

It is denoted by ∩.

Answer 39

Intersection of sets (and)