ch 2: mathematical language and symbols

Question 1

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

Answer 1

Language

Question 2

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

Answer 2

Language of Mathematics

Question 3

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

Answer 3

Language of Mathematics

Question 4

express formulas or to represent a constant.

Answer 4

Symbols

Question 5

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

Answer 5

Conventional

Question 6

means standard/aplicable to all

Answer 6

Conventional

Question 7

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

Answer 7

Syntax

Question 8

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

Answer 8

Syntax

Question 9

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

Answer 9

Syntax

Question 10

Math is comprised of primarily two things, which are?

Answer 10

numbers and symbols.

Question 11

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

Answer 11

Syntax error

Question 12

can symbols be letters or not?

Answer 12

symbols cannot be letters

Question 13

Characteristics of the Language of Mathematics

(enumerate)

Answer 13

• Precise
• Concise
• Powerful

Question 14

able to make very fine distinctions.

Answer 14

Precise

Question 15

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

Answer 15

Precise

Question 16

able to say things briefly.

Answer 16

Concise

Question 17

able to express complex thoughts with relative ease.

Answer 17

Powerful

Question 18

are combination of finite symbols that follows mathematical rules

Answer 18

Mathematical Expression

Question 19

are correct arrangement that represents mathematical objects

Answer 19

Mathematical Expression

Question 20

these does not have a complete thought

Answer 20

Mathematical Expression

Question 21

are neither true nor false

Answer 21

Mathematical Expression

Question 22

most common expressions

(enumerate)

Answer 22

• Numbers and Variables
• Sets
• Functions
• Relations

Question 23

Analogue of an English sentence

Answer 23

Mathematical Sentences

Question 24

Correct arrangement that represents a complete thought

Answer 24

Mathematical Sentences

Question 24

Use equality symbols to compare two expressions

Answer 24

Mathematical Sentences

Question 25

Always true or false, sometimes true and sometimes false

Answer 25

Mathematical Sentences

Question 26

Most common sentences ## Footnote (enumerate)

Answer 26

* Mathematical formula * Mathematical theories * Mathematical postulates and corollaries * Equations and Inequalities

Question 27

in Performing Operations on Mathematical Expression Correctly, you use?

Answer 27

G-E-M/D-A/S

Question 28

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

Answer 28

G-E-M/D-A/S

Question 29

it does not have an equal sign

Answer 29

Mathematical Expression

Question 29

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

Answer 29

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.

Question 30

has an equal sign

Answer 30

Mathematical Senetnces

Question 31

enumerate all the symbols

Answer 31

* "+" 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

Question 32

it is also known as "repeated addition" or "skip counting"

Answer 32

multiplication

Question 33

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

Answer 33

() and []

Question 34

more complicated equations/expressions use this

Answer 34

[] or grouping symbol

Question 35

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

Answer 35

{} or set symbol

Question 36

what do you call the contents inside a {}

Answer 36

elements

Question 37

without this, the thought is incomplete

Answer 37

=

Question 38

ususally used when we round off the value

Answer 38

≈ or approximately equal to

Question 39

used indicated how many times a number is multiplied to itself

Answer 39

√

Question 40

used to express angles or temperatures

Answer 40

° or degrees

Question 41

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

Answer 41

∴ or therefore