(LESSON 3) The Language of Mathematics and Sets Flashcards
TRUE OR FALSE?
The following are the characteristics of the language of mathematics: precise, concise, and powerful.
TRUE
It is the is the system used to communicate mathematical ideas.
Mathematical Language
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.
Syntax
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.
Mathematics symbols
A characteristic of Mathematical Language that means being able to make a very fine distinction.
a) Precision
b) Concise
c) Powerful
a) Precision
A characteristic of Mathematical Language that means being able to say things briefly.
a) Precision
b) Concise
c) Powerful
b) Concise
A characteristic of Mathematical Language that means being able to express complex thoughts with relative ease.
a) Precision
b) Concise
c) Powerful
c) Powerful
It is a finite combination of symbols that is well-defined according to rules that depend on the context.
(mathematical) expression
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.
FALSE. The statement refers to Mathematical Expression.
The most common type involving an expression is?
Simplify
TRUE OR FALSE?
Simpler means using fewer symbols.
TRUE
TRUE OR FALSE?
Simpler means using several operations.
FALSE. Just a few should do.
TRUE OR FALSE?
Simpler means using better suited for the current use.
TRUE
TRUE OR FALSE?
Simpler means in a general style or format.
FALSE. Simpler means in a preferred style or format.
It is is merely a set of rules that prioritize the sequence of operations starting from the most important to the least important.
Order of Operations
It makes a statement about two expressions, either using numbers, variables, or a combination of both.
Mathematical Sentence
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.
Mathematical Sentence
It is a sentence with a truth value of true (or false).
Examples:
8 is an even number
9 is an even number
Closed Sentence
It is a sentence when it is not known if it is true or false.
Examples:
N is an even number
Open Sentence
It is a fact, name, notation, or usage which is generally agreed upon by mathematicians.
mathematical convention
According to them, “Mathematics is the language in which God has written the universe”
Galileo Galilei
It is the branch of mathematics that studies sets or the mathematical science of the infinite.
Set theory
The study of sets has become a fundamental theory in mathematics in the 1870s which was introduced by ____, a German mathematician.
Georg Ferdinand Ludwig Philipp Cantor
It is a well-defined collection of objects; the objects are called the elements or members.
Set
TRUE OR FALSE?
To describe a set, we use braces { } and use capital letters to represent it.
TRUE
TRUE OR FALSE?
The symbol ϵ is used to denote that an object is an element of a set.
TRUE
It is the method where the set is enumerated or listed and each element is separated by a comma.
Roster method or Tabulation method
It is a method that is used to describe the elements or members of the set.
Rule method or Set Builder Notation
It is a set whose elements are limited or countable, and the last element can be identified.
Finite Set
It is a set whose elements are unlimited or uncountable, and the last element cannot be specified.
Infinite Set
The three dots in enumerating the elements of the set are called ____, which indicates a continuing pattern.
ellipsis
It is a set with only one element.
Unit Set
It is a unique set with no element.
Empty/Null Set
It is the number of elements or members in the set.
The Cardinality Number of a Set
Two sets are equal if they have the same elements.
Equal sets
It is a set that contains everything.
Universal set
When we define a set and we take pieces of that set, we can form what is called a?
Subset
It is denoted by ∪.
Union of sets (or)
It is denoted by ∩.
Intersection of sets (and)
