MA 201 Exam 1

Question 1

What are elements?

Answer 1

Objects

Question 2

What’s a set?

Answer 2

A group of objects

Question 3

What’s the listing method?

Answer 3

A method where you list out every method

Question 4

Listing method example

Answer 4

A= {1,2,3,4}

Question 5

What type of brackets do you use in a set?

Answer 5

Squiggly brackets

{ }

Question 6

2 ways of describing sets

Answer 6

Listing method and set-builder notation

Question 7

What’s the set-builder notation?

Answer 7

A notation where you have a placeholder variable and a defining quality of the elements of the set

Question 8

Set-builder notation example

Answer 8

A= {1,2,3,4}
A= {x | x is a whole number from 1 to 5}

Question 9

What’s a null set?

Answer 9

AKA empty set

A set with no elements

Question 10

How is the null set denoted?

Answer 10

{ } or (do not) sign

Question 11

What does it mean for sets to be equal?

Answer 11

If and only if they have the same elements

Question 12

Does order matter in an equal set?

Answer 12

no

Question 13

What’s cardinality?

Answer 13

The number of unique elements of the set

Question 14

Characteristics of sets

Answer 14

Finite

Infinite

Question 15

Finite cardinality?

Answer 15

Is where you can say exactly how many elements a set contains

Question 16

What’s a natural number?

Answer 16

The set of all cardinalities of nonempty finite sets

Question 17

What’s a whole number?

Answer 17

The set of all cardinalities of finite sets

Question 18

1-to-1 correspondence

Answer 18

When 2 sets have the same cardinality

Question 19

What’s a subset?

Answer 19

If and only if a set has every element in another set

Question 20

What’s the denotation of a subset?

Answer 20

An underlined sideways union

Question 21

Subset characteristics

Answer 21

.2 equal sets are subsets of each other

.The null set is a subset of every set

Question 22

What’s a proper subset?

Answer 22

A set that’s a subset which does not contain at least on element of it’s parent set

Question 23

How is a proper set denoted?

Answer 23

A sideways union

Question 24

What’s a way to talk about inequalities?

Answer 24

By cardinalities of sets

Question 25

What's a numeral?

Answer 25

Any collection of symbols used to represent a number

Question 26

What's the base-ten system?

Answer 26

A positional numeral system based on powers of ten

Question 27

What's a positional numeral system?

Answer 27

A system in which the value of a digit depends on its position or value

Question 28

Expanded form of a number

Answer 28

Writing out a number based on its place values

Question 29

What's the decision digit?

Answer 29

The digit after the given place value

Question 30

Number line characteristics

Answer 30

.Tic marks represent whole numbers at regular intervals .Numbers increase from left to right .Arrows are drawn to represent that the number line never ends

Question 31

What systems do other cultures use?

Answer 31

Base-b systems | b is a number

Question 32

What are base-b systems?

Answer 32

Numeral systems that have different symbols foe each power of b

Question 33

What's the positional value in base-b systems?

Answer 33

ones, bs, b^2s, b^3s,...

Question 34

Binary numeral system

Answer 34

Base: 2 | Only uses 0 and 1

Question 35

Hexadecimal numeral system

Answer 35

Base:16 | Uses 0-9 & A-F

Question 36

The Mayan numeral system

Answer 36

``` Base: 20 Uses symbols: dots, lines, & football Is vertical 400s 20s 1s ```

Question 37

Reflexive property

Answer 37

A whole # equal itself

Question 38

Symmetric property

Answer 38

The order of the equality of the while #'s doesn't matter

Question 39

Transitive property

Answer 39

2 whole #'s that are equal to the same whole #

Question 40

Non-positional numeral system

Answer 40

The symbols in a numeral can be placed anywhere and still retain the same value

Question 41

Ancient Egyptian numeral system

Answer 41

Base:10 | Non-positional

Question 42

Roman numeral system

Answer 42

.Equal or decreasing value are added | .Increasing value are group and the lower value is subtracted form the higher value

Question 43

Roman numeral

Answer 43

``` ,I=1 .V=5 .X=10 L=50 .C=100 .D=500 .M=1000 ```

Question 44

What does union mean?

Answer 44

The two sets is the set of everything either in one set or the other

Question 45

What's the cardinality of a union?

Answer 45

The sum of cardinalities of the original sets

Question 46

What are addends?

Answer 46

#'s that are being added

Question 47

What's the sum

Answer 47

A # that results from an addition problem

Question 48

Commutative property of addition

Answer 48

The sum of 2 #'s doesn't depend on the order of the addends

Question 49

Associative property of addition

Answer 49

The sum of #'s doesn't depend on the grouping of addends

Question 50

Additive identity property

Answer 50

The sum of any # with the additive identity is the original #

Question 51

What's the additive identity?

Answer 51

0

Question 52

Number line model of addition

Answer 52

Go the # of the first addend starting at 0 and then continuing to a # by moving the number of units to the right of the first addend until you move the # of units of the second addend

Question 53

Standard algorithm of addition

Answer 53

Regrouping

Question 54

Expanded algorithm of addition

Answer 54

Writing the answer of each place value sum

Question 55

What's the inverse operation of addition?

Answer 55

Subtraction

Question 56

What's a subtrahend?

Answer 56

The # that the minuend is subtracted from

Question 57

What's a minuend?

Answer 57

The number that's being added to the subtrahend

Question 58

What's the difference?

Answer 58

AKA missing addend | .The minuend-subtrahend

Question 59

Take-away method

Answer 59

Draw a pic & x out the elements you don't need anymore

Question 60

Number line model of subtraction

Answer 60

Go right the # of units the minuend is starting at 0 then go left at the stopping point of the minuend.

Question 61

Base-ten blocks of subtractions

Answer 61

Start with the minuend and then remove the subtrahend.

Question 62

Austrian algorithm of subtraction

Answer 62

Subtract in each place value. If not enough in that position, place a 1 between the relevant columns

Question 63

What's multiplication?

Answer 63

n*a= a+a+a+...+a

Question 64

What's a product?

Answer 64

The answer of the multiplication problem

Question 65

What are factors?

Answer 65

The #'s of a multiplication problem

Question 66

Multiplicative identity property

Answer 66

a*1=a

Question 67

Zero multiplication property

Answer 67

a*0=0

Question 68

What are the factors of an area model?

Answer 68

Length & width

Question 69

What is the product of an area model?

Answer 69

area

Question 70

Expanded algorithm of multiplication

Answer 70

Multiply each place value of one number by each in the other. Use place value positions

Question 71

What's the inverse operation of multiplication?

Answer 71

Division