Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

APSY 1-1 Mathematics in The Modern World > (LESSON 3) The Language of Mathematics and Sets > Flashcards

(LESSON 3) The Language of Mathematics and Sets Flashcards

1
Q

TRUE OR FALSE?

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

A

TRUE

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

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

A

Mathematical Language

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

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.

A

Syntax

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

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.

A

Mathematics symbols

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

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

a) Precision
b) Concise
c) Powerful

A

a) Precision

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

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

a) Precision
b) Concise
c) Powerful

A

b) Concise

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

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

a) Precision
b) Concise
c) Powerful

A

c) Powerful

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

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

A

(mathematical) expression

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

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.

A

FALSE. The statement refers to Mathematical Expression.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

The most common type involving an expression is?

A

Simplify

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

TRUE OR FALSE?

Simpler means using fewer symbols.

A

TRUE

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

TRUE OR FALSE?

Simpler means using several operations.

A

FALSE. Just a few should do.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

TRUE OR FALSE?

Simpler means using better suited for the current use.

A

TRUE

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

TRUE OR FALSE?

Simpler means in a general style or format.

A

FALSE. Simpler means in a preferred style or format.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

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

A

Order of Operations

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

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

A

Mathematical Sentence

17
Q

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.

A

Mathematical Sentence

18
Q

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

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

A

Closed Sentence

19
Q

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

Examples:
N is an even number

A

Open Sentence

20
Q

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

A

mathematical convention

21
Q

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

A

Galileo Galilei

22
Q

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

A

Set theory

23
Q

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

A

Georg Ferdinand Ludwig Philipp Cantor

24
Q

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

A

Set

25
Q

TRUE OR FALSE?

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

A

TRUE

26
Q

TRUE OR FALSE?

The symbol ϵ is used to denote that an object is an element of a set.

A

TRUE

27
Q

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

A

Roster method or Tabulation method

28
Q

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

A

Rule method or Set Builder Notation

29
Q

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

A

Finite Set

30
Q

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

A

Infinite Set

31
Q

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

A

ellipsis

32
Q

It is a set with only one element.

A

Unit Set

33
Q

It is a unique set with no element.

A

Empty/Null Set

34
Q

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

A

The Cardinality Number of a Set

35
Q

Two sets are equal if they have the same elements.

A

Equal sets

36
Q

It is a set that contains everything.

A

Universal set

37
Q

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

A

Subset

38
Q

It is denoted by ∪.

A

Union of sets (or)

39
Q

It is denoted by ∩.

A

Intersection of sets (and)

APSY 1-1 Mathematics in The Modern World (4 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions