MMW

Question 1

the system of words, signs, and symbols which people use to express ideas, thoughts, and feelings; simple verbal language

Answer 1

Language

Question 2

system used to communicate mathematical ideas; symbols, numbers, etc.

Answer 2

Mathematical Language

Question 3

Characteristics of Mathematical Language

Answer 3

1. Non-temporal
2. Devoid of emotional content
3. Precise

Question 4

Operational Terms and Symbols

Answer 4

1. Addition [+] - plus, the sum of, increased by, total, added to, combine, more than
2. Subtraction [-] - minus, the difference of, decreased by, subtracted from, diminished, reduced, less than
3. Multiplication [x,(),*] - multiplied by, the product of, times of, twice, thrice, of
4. Division [÷,/] - divided by, the quotient of, per, half, ratio, out of, split into

Question 5

consists of terms separated with other term using either plus or minus; combination of numbers and variables using operators

Answer 5

Mathematical Expression

Question 6

Example of Mathematical Expression

Answer 6

2x + 10

Question 7

2x + 10

name its parts

Answer 7

2 - numerical coefficient
x - literal coefficient
+ - symbol
10 - constant

Question 8

The product of three and a number

Answer 8

3 * n

Question 9

Five times the sum of a number and two

Answer 9

5 ( n + 2 )

Question 10

how do you read this?

2x + 10

Answer 10

two times a number added to 10

Question 11

combination of two mathematical expressions using a comparison operator

Answer 11

Mathematical Sentence

Question 12

what are the comparison operators?

Answer 12

equal, not equal, less than, less than or equal to, greater than, greater than or equal to

Question 13

signs which convey equality or inequality

Answer 13

relation symbols

Question 14

the two parts of an equation

Answer 14

members

Question 15

types of math sentence

Answer 15

1. open sentence
2. close sentence

Question 16

it uses variable, meaning that it is not known whether the mathematical sentence is true or false

Answer 16

open sentence

Question 17

a mathematical sentence that is known to be either true or false

Answer 17

close sentence

Question 18

two types of close sentence

Answer 18

1. True Closed Sentence
2. False Closed Sentence

Question 19

18 > 16.5, 9 is an odd number, 25 ½ = 5 are examples of?

Answer 19

true closed sentence

Question 20

5 = 1, 9 is an even number, 4 + 4 = 5 are examples of?

Answer 20

false closed sentence

Question 21

one of the most basic in mathematics

Answer 21

sets

Question 22

a collection of objects that have something in common or follow a rule

Answer 22

sets

Question 23

elements listed within a pair of curly brackets { } with no elements repeated

Answer 23

sets

Question 24

well-defined collection of distinct objects

Answer 24

sets

Question 25

sets are named in?

Answer 25

capital letters

Question 26

objects that make up a set and can be numbers, people, letters of the alphabet, other sets, etc. And is usually denoted by a lower-case letter

Answer 26

elements or members

Question 27

usually used to specify that the objects written between them belong to a set

Answer 27

braces

Question 28

How to describe a set?

Answer 28

1. Roster/Tabular Method 2. Rule/Descriptive Method

Question 29

elements in the given set are listed or enumerated, separated by a comma, inside a pair of braces

Answer 29

Roster/Tabular Method

Question 30

the common characteristic of the elements is defined; uses set builder notation where x is used to represent any element of the given set

Answer 30

Rule/Descriptive Method

Question 31

Kinds of Sets

Answer 31

1. Null/Void/Empty Set 2. Finite Set 3. Infinite Set 4. Universal Set

Question 32

has no element and is denoted by ∅ or by a pair of braces with no element inside, i.e. { }

Answer 32

null/void/empty set

Question 33

has countable number of elements

Answer 33

finite set

Question 34

has uncountable number of elements

Answer 34

infinite set

Question 35

the totality of all the elements of the sets under consideration, denoted by U

Answer 35

universal set

Question 36

Two or more sets may be related to each other:

Answer 36

1. equal sets have the same elements 2. equivalent sets have the same number of elements 3. joint sets have at least one common element 4. disjoint sets have no common element

Question 37

a set every element of which can be found on a bigger set

Answer 37

subset

Question 38

the first set equals the second set

Answer 38

improper subset

Question 39

a subset of any given set and is considered an improper subset of the given set

Answer 39

null set

Question 40

the set itself and the null set

Answer 40

proper subset

Question 41

set containing all the subsets of the given set with n number of elements; with 2^n number of elements

Answer 41

power set

Question 42

Operations in Sets

Answer 42

1. union of sets 2. intersection of sets 3. difference of sets 4. complement of sets

Question 43

the smallest set which contains all the elements of both sets; a set whose elements are found in A or B or in both

Answer 43

union of sets

Question 44

the largest set which contains all the elements common to both sets; a set whose elements are common to both sets

Answer 44

intersection of sets

Question 45

if A and B are two sets, the difference is given by A – B or B – A, means elements of A not in B; a set whose elements are found in set A but not in set B

Answer 45

difference of sets

Question 46

the complement of a set is the set of all the elements of U not in the complemented set

Answer 46

complement of sets