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1.2 Sets and set notation pt.2
Good morning!
Schedule:
Learning goals
Homework
Problem solving question
Revision: Sets and Set notation
Properties of real numbers + homework
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Slide 1:
Tekstslide
Wiskunde
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Onderdelen in deze les
Good morning!
Schedule:
Learning goals
Homework
Problem solving question
Revision: Sets and Set notation
Properties of real numbers + homework
Slide 1 - Tekstslide
Learning goals
At the end of this lessons I can:
Name the properties of number sets
round to different degrees of accuracy
Slide 2 - Tekstslide
Any homework questions?
Slide 3 - Woordweb
Set Theory symbols
Slide 4 - Tekstslide
Universal and complementary set
The complementary set
(notation: A' or A
c
) of a set A contains all elements that DO NOT belong to A.
The universal set
(notation: U) is a set which contains ALL ELEMENTS of a problem.
Example:
If U = { 1, 2, 3, 4, 5} and
A = { 2, 4, 5} then
A' = {1, 3}
Slide 5 - Tekstslide
Sets and set notation
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40}
The universal set U = {all Natural numbers} or ℕ
True or false?
1. C ⊂ A
2. Ø ⊆ B
3. 0 ∈ A
4. A' = {all positive odd numbers}
5. B ⊆ A
Slide 6 - Tekstslide
Sets and set notation
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40}
The universal set U = {all Natural numbers} or ℕ
True or false?
1. C ⊂ A
2. Ø ⊆ B
3. 0 ∈ A
4. A' = {all positive odd numbers}
5. B ⊆ A
Slide 7 - Tekstslide
Homework
P. 26: Practice 3(1, 2, 3, 4
Slide 8 - Tekstslide
Properties of real numbers (addition and multiplication)
Please read the information on P. 30 and do Practice 4.
If you want more explanation, open this Lessonup from
Toddle > Class files > Unit 1 number systems and number sense
And go to
Slide 19
Done?
Homework:
P. 26: Practice 3(1, 2, 3, 4)
P. 30: Practice 4
Slide 9 - Tekstslide
Properties of real numbers:
Commutative
property
The Property: a + b = b + a
a ⋅ b = b ⋅ a
Example: 2 + 3 = 3 + 2
2 ⋅ 3 = 3 ⋅ 2
Is there a different operator that does not have this property?
Slide 10 - Tekstslide
Properties of real numbers:
Associative
property
The Property: a + (b + c) = (a + b) + c
(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
Example: 1 + (2 + 3) = (1 + 2) + 3
1 ⋅ (2 ⋅ 3) = (1 ⋅ 2) ⋅ 3
Is there a different operator that does not have this property?
Slide 11 - Tekstslide
Properties of real numbers:
Identity
The Property: a + i = a
a ⋅ i = a
What is the identity for the set of real numbers under addition ?
What is the identity for the set of real numbers under multiplication?
Slide 12 - Tekstslide
Properties of real numbers:
Inverse
The Property: a + Inv = i
(i = 0)
a ⋅ Inv = i
(i = 1)
What is the inverse for the set of real numbers under addition ?
What is the inverse for the set of real numbers under multiplication?
Slide 13 - Tekstslide
Properties of real numbers:
Distributive
property
The Property: (a + b)c = ac + bc
Example: (20 + 7)4 = 80 + 28
Slide 14 - Tekstslide
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