Transcript Review

Review
Symbols
Given the set of number symbols below, solve
the following problems, writing your answers
with the new number symbols.
0 -- α
5 -- θ
1 -- β
6 -- κ
2 -- γ
7 -- μ
3 -- ε
8 -- π
4 -- η
9 -- ☺
α+γ
μ·ε
☺μθ-π
Sets of Numbers
Identify the sets of numbers as either Real,
Rational, Integers, Whole, or Natural.
Give an example of an irrational number.
_____________
Give an example of an imaginary number.
_____________
Sets & Subsets (I know these problems look
weird. Be nice to them anyway.)
1. Given the set A = {all integers} and B = {all
natural numbers}, create a Venn Diagram
showing the relationship between A and B.
composed of subsets, which may also be made
up of smaller subsets. Eventually, these can be
broken down into elements. Based on this, if
• Create a subset of Z. Name it Bob.
Z = {0, 2, 4, 6, 8, …}, then do the following:
Create a subset of Bob. Name it Larry.
What elements to Bob and Larry have in
common? What elements are unique to each
of them?
If Bob and Larry have things in common, could
we create a new subset of Z with this group?
Why or why not?
3. x is an element of set A. If the set of all
integers is a subset of A, does x have to be an
integer? Explain!
Venn Diagrams
Create a Venn Diagram based on the following
information:
100 people are part of universe U.
40 people are in A.
30 people are in B.
25 people are in only C.
12 people are in both A and B.
10 people are in both B and C.
13 people are in only both C and A.
5 people are in A, B, and C.
How many people are not in A, B, or C, but
still in universe U? __________
How many people are in both A and B, but not
C? _________
How many people are in only A? __________
Ordering Numbers
Order the elements of following sets of
numbers in order from least to greatest:
Closure
Create a set that is closed with respect to
addition.
Create a set that is closed with respect to
multiplication.
Create a set that is closed with respect to
addition, but not multiplication.
Create a set that is closed with respect to
multiplication, but not addition.
Create a set that is closed with respect to
neither addition nor multiplication.
Properties
Name the properties being used in the
following examples as the
Commutative Property of Addition
Additive Inverse
Commutative Property of Multiplication
Multiplicative Inverse
Associative Property of Addition
Additive Identity Property
Associative Property of Multiplication
Multiplicative Identity Property
Multiplicative Property of Zero
1. Jane + (Tommy + John) = (Jane + Tommy)
+ John
2. Sprocket · Gorp = Gorp · Sprocket
3. Chicken + (Fries + Cookie) = Chicken +
(Cookie + Fries)
4. Hi + Bye = 0
5. Lurp · Mort = Lurp
6. Kayuda + Whatchamacallit = Kayuda
7. Danger · 0 = 0
8. Red · Blue = 1
9. Wow · (Pow · Cow) = (Wow · Pow) · Cow