Properties

1
Properties
Sec 1-6
Additive Identity Multiplicative Identity
Multiplicative Property 4 0 4
5 1 5
of Zero
7
0 0 Multiplicative Inverse
Reflexive Symmetric
3/4 4/3 1 7 7
x 2 9

9 x 2 Transitive
Substitution x 4 7
4 5 9 7 3x x 4 3x
2
Sec 1-7
Distributive Property
5(x 3) ? 5(x 3)
5(x 3) 5x 15 5x 15
6x 6y ? 6x 6y
6x 6y 6(x y) 6(x y)
3(x 2y) 2y ? 3x 6y 2y
3
Sec 1-8
Commutative Associative
Commutative
Associative (Re-arranges)


(Re-groups) x 7 7 x
(3 x) 6 (3 6) x
(b a)c c(b a) Name the property
7(p q) 7(q p) Name the property
2(mn) (2m)n Name the property
4

• Name the property used in each step
• 26 1 6 5(12 4 3)
• 26 1 6 5(3 3) __________________
• 26 1 6 5(0) __________________
• 26 1 6 0 __________________
• 26 6 0 __________________
• 0 __________________
• 20
  __________________

5

• Name the property used in each step
• 26 1 6 5(12 4 3)
• 26 1 6 5(3 3) Substitution
• 26 1 6 5(0) Substitution
• 26 1 6 0 Multiplicative
  Property of Zero
• 26 6 0 Multiplicative
  Identity
• 0 Substitution
• 20 Additive
  Identity

6
Work this problem following the ooo name the
property used for each step.
53 8 5 6
Step 1 53 8 5 6
A) 53 40 6
_______________ B) 53 8 11
_______________ C) 125 8 5 6
_______________ D) 15 8 5 6
_______________
Which choice shows the correct work?
7
Correct!
8
Try again
9

• Step 2 125 8 5 6
• 125 40 6 Name
  the property?
• Additive Identity
• Substitution
• Commutative (x)
• Distributive

Click on your answer.
10
Correct!
11
Try again
12
Step 3
125 40 6 A) 85
6 Substitution B) 85 6
Reflexive C) 125 46
Commutative D) 125 34 Additive
Identity
Click on the proper step and property.
13
Correct!
14
Try again
15

• Step 4
• 85 6
• What is the next step? What property is used?
• Add, Substitution
• Add, Additive Identity
• Add, Reflexive
• All of the above

Click on the best answer
16
Correct!
17
Sorry Try again
18

• 53 8 5 6
• 8 5 6 Exponents, Substitution
• 125 40 6 Multiply, Substitution
• 6 Subtraction, Substitution
• 91 Add, Substitution

19
Write down all of the properties covered in this
slide show. Make sure to include an example
(different than the slide show) for each
property. Evaluate this problem showing steps
for ooo and naming the property used for each
step. 25 (7 2)2 1 15 0 2 ?
25 (5)2 1
15 0 2 ______?_______

Substitution 25 25 15 0 2
_____________
______?_______

______ ?__ ____
_______?______

_______?______
Specs
20
Check your answers
25 (7 2)2 1 15 0 2 ?
25 (5)2 1 15 0 2
Substitution 25 25 1 15 0 2
Substitution 25 25 15 0
2 Multiplicative Identity
25 25 0 2
Multiplicative Property of Zero 0 0
2
Substitution 0 2
Additive Identity 2

Additive Identity