ch 2: mathematical language and symbols Flashcards

1
Q

is a complex system of words and symbols, either spoken or written, used by a particular community as a means of communication.

A

Language

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2
Q

A system used by mathematicians to communicate mathematical ideas among themselves.

A

Language of Mathematics

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3
Q

Every language has its vocabulary (the words) and its rules for combing these words into complete thoughts (the sentences).

A

Language of Mathematics

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4
Q

express formulas or to represent a constant.

A

Symbols

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5
Q

facts, names, notation, or usage which is generally agreed upon by mathematicians.

A

Conventional

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6
Q

means standard/aplicable to all

A

Conventional

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7
Q

to make the expression well-formed to make characters and symbols clear and does not violate the rules.

A

Syntax

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8
Q

it also when there is no error and you get the correct answer

A

Syntax

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9
Q

it is also when the design and measurement are clear and understadable

A

Syntax

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10
Q

Math is comprised of primarily two things, which are?

A

numbers and symbols.

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11
Q

it occurs when there is something wrong or when the input cannot be read/interpreted (by the calculator/user?)

A

Syntax error

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12
Q

can symbols be letters or not?

A

symbols cannot be letters

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13
Q

Characteristics of the Language of Mathematics

(enumerate)

A
  • Precise
  • Concise
  • Powerful
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14
Q

able to make very fine distinctions.

A

Precise

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15
Q

this word can also mean(?) almost/approximately equal to

A

Precise

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16
Q

able to say things briefly.

A

Concise

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17
Q

able to express complex thoughts with relative ease.

A

Powerful

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18
Q

are combination of finite symbols that follows mathematical rules

A

Mathematical Expression

19
Q

are correct arrangement that represents mathematical objects

A

Mathematical Expression

20
Q

these does not have a complete thought

A

Mathematical Expression

21
Q

are neither true nor false

A

Mathematical Expression

22
Q

most common expressions

(enumerate)

A
  • Numbers and Variables
  • Sets
  • Functions
  • Relations
23
Q

Analogue of an English sentence

A

Mathematical Sentences

24
Q

Correct arrangement that represents a complete thought

A

Mathematical Sentences

24
Q

Use equality symbols to compare two expressions

A

Mathematical Sentences

25
Q

Always true or false, sometimes true and sometimes false

A

Mathematical Sentences

26
Q

Most common sentences

(enumerate)

A
  • Mathematical formula
  • Mathematical theories
  • Mathematical postulates and corollaries
  • Equations and Inequalities
27
Q

in Performing Operations on Mathematical Expression Correctly, you use?

A

G-E-M/D-A/S

28
Q

a mnemonic used to remember the order of operations in math problems.

A

G-E-M/D-A/S

29
Q

it does not have an equal sign

A

Mathematical Expression

29
Q

explain each component of G-E-M/D-A/S

A

G - simplify everything inside the GROUPING SYMBOL.
E - simplify every EXPONENTIAL NUMBERS in the numerical expression.
M/D - Multiply or Divide whichever comes first, FROM LEFT TO RIGHT.
A/S - FROM LEFT TO RIGHT, add or subtract whichever comes first.

30
Q

has an equal sign

A

Mathematical Senetnces

31
Q

enumerate all the symbols

A
  • ”+” add
  • ”-“ subtract
  • “×” multiply
  • “÷” divide
  • ”/” divide
  • ”( )” grouping symbols (aka. parenthesis)
  • ”[ ]” grouping symbols (aka. square brackets)
  • ”{ }” set symbols (aka. flowery brackets)
  • “π” pi
  • “∞” infinity
  • ”=” equals
  • “≈” approximately equal to
  • “≠” not equal to
  • ”<” , “≤” less than, less than or equal to
  • ”>” , “≥” greater than, greater than or equal to
  • “√ “ square root (“radical”)
  • “°” degrees
  • “∴” therefore
32
Q

it is also known as “repeated addition” or “skip counting”

A

multiplication

33
Q

asside from the multiplication symbol, we also use these to apply the operation of multiplication

A

() and []

34
Q

more complicated equations/expressions use this

A

[] or grouping symbol

35
Q

used when the content share common properties/characteristics or when listing them

A

{} or set symbol

36
Q

what do you call the contents inside a {}

A

elements

37
Q

without this, the thought is incomplete

A

=

38
Q

ususally used when we round off the value

A

≈ or approximately equal to

39
Q

used indicated how many times a number is multiplied to itself

A

40
Q

used to express angles or temperatures

A

° or degrees

41
Q

used when you make a judgement, conclusion, or interpretation based on the given requirements

A

∴ or therefore