Formulas

Question 1

1 in roman

Answer 1

l

Question 2

2

Answer 2

ll

Question 3

3

Answer 3

lll

Question 4

4

Answer 4

IV

Question 5

5

Answer 5

V

Question 6

6

Answer 6

VI

Question 7

10

Answer 7

X

Question 8

L

Answer 8

50

Question 9

C

Answer 9

100

Question 10

D

Answer 10

500

Question 11

M

Answer 11

1000

Question 12

lX

Answer 12

9

Question 13

XX

Answer 13

20

Question 14

XXX

Answer 14

30

Question 15

XL

Answer 15

40

Question 16

LXX

Answer 16

70

Question 17

A smaller number in front of a larger number means

Answer 17

subtraction, all else means addition

Question 18

You would not put more than 1 smaller number in

Answer 18

front of a larger number to sutract

Question 19

Only the numbers 1, 10, 100…. can be subtracted and only from

Answer 19

the next two higher numbers

Question 20

The roman numerals I, X and C are repeated…

Answer 20

up to three times in succession to form the numbers

Question 21

Subtraction principal: reading from left, we

Answer 21

add the value of each numeral unless its value is smaller than the value of the numeral to its right in which case we subtract from that number. IX subtract 1 from 10 to get 9

Question 22

I can be subtracted from

Answer 22

V or X (5 or 10)

Question 23

X can be subtracted from

Answer 23

L or C (50 or 100)

Question 24

C can be subtracted from

Answer 24

D or M (500 or 1000)

Question 25

Multiplication principle: A bar placed over a roman numeral to mean

Answer 25

1000 times the value of the Roman numerals themselves. V(with bar) = 5 x 1000 = 5000 XL(BAR) = 40 x 1000 = 4000

Question 26

{}

Answer 26

Set - a collection of elements

Question 27

A n B

Answer 27

Intersection (and) - whats in common - objects that belong to set A and B

Question 28

A U B

Answer 28

Union (or) - Objects that belong to set a or b

Question 29

A C B (line under C)

Answer 29

Subset - has fewer elements or equal to the set

Question 30

A C B (no line under C)

Answer 30

Proper Subset - has fewer elements than the set

Question 31

A C B (line through C)

Answer 31

Not subset - left set not a subset of right set

Question 32

2^A

Answer 32

Power Set - all subsets of A

Question 33

A = B

Answer 33

Equality, both sets have the same members A={3,9,14} B={3,9,14}, A=B

Question 34

U

Answer 34

universal set - set of all possible values

Question 35

N0

Answer 35

Natural numbers/whole numbers (with zero) 0,1,2,3,4

Question 36

N1

Answer 36

Natural/whole numbers without zero, 1,2,3,4

Question 37

Z

Answer 37

Integer number set - -3,-2,-1,0,1,2,3

Question 38

Q

Answer 38

Rational number set {xlx=a/b, a,bEN} 2/6 E Q

Question 39

R

Answer 39

Real number set {xl - infinity < x < infinity} 6.343434 E R

Question 40

Formula for number of subsets in a set

Answer 40

2^n where n is the cardinality of the set

Question 41

Cardinality

Answer 41

the number of elements in a mathematical set A= {1,2,3}

Question 42

Finding cardinality of union of two sets

Answer 42

lAUCl = lAl + lCl - lANCl

Question 43

Find cardinality of intersection

Answer 43

write it out and see what they have in common, then count how many elements

Question 44

Venn diagram - n

Answer 44

do not shade what they have in common