Mathematical Properties

Mathematical Properties

What are the mathematical properties and how will they help me in math?

Commutative Property

The "switching positions" property. Students commute to and from school.

Multiple Select

Which of the following are true?

• 3 + 5 = 5 + 3

• 3 - 5 = 5 - 3

• 9 • 3 = 3 • 9

• 9 ÷ 3 = 3 ÷ 9

Associative Property

The "grouping" property. You can associate with different groups of people at different times.

Multiple Select

Which of the following are true?

• 8 + (3 + 1) = (8 + 3) + 1

• 8 - (3 - 1) = (8 - 3) - 1

• 12 • (6 • 2) = (12 • 6) • 2

Poll

Identify the property:

11 + 36 = 36 + 11

• Commutative Property of Addition

• Associative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Mulitplication

Poll

Identify the property:

(5 • 4) • 2 = 5 • (4 • 2)

• Commutative Property of Addition

• Associative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Multiplication

Identity

Identity is who you are, the way you think about yourself, the way you are viewed by the world and the characteristics that define you.

Multiple Select

Which of the following are true?

• 5 • 0 = 5

• 6 + 0 = 6

• 5 • 1 = 5

• 6 + 1 = 6

Multiple Select

Which of the following are true?

• 5 • 0 = 0

• 5 + 0 = 0

• 0.25 • 0 = 0

• 0.25 + 0 = 0

Poll

Identify the Property:

9 • 1 = 9

• Zero Property of Mulitplication

• Identity Property of Multiplication

• Identity Property of Addition

• Zero Property of Addition

Poll

Identify the Property:

5 + 0 = 5

• Zero Property of Mulitplication

• Identity Property of Multiplication

• Identity Property of Addition

• Zero Property of Addition

Poll

Identify the Property:

-7 • 0 = 0

• Zero Property of Multiplication

• Identity Property of Multiplication

• Identity Property of Addition

• Zero Property of Addition

Distributive Property

When you distribute something to each person in a group, you give that thing to each person in the group.

Let's Play!

It is time to practice what you have learned.

Multiple Choice

Which property does 10 * 0 = 0 represent?

• Commutative Property of multiplication
• Associative Property of Multiplication
• Distributive Property
• Zero Property of Multiplication

Multiple Choice

Identity Property of Multiplication

• 1 x 3 = 3
• 7 x 0 = 0
• 12 + 0 = 12
• 2 x 3 = 3 x 2

Multiple Choice

What is the property shown in this equation?
8(5 + 3) = 8(5) + 8(3)

• Associative Property of Addition
• Commutative Property of Addition
• Additive Identity Property
• Distributive Property

Multiple Choice

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

• 7 + 8 + 9
• 8 + ( 7 + 9)
• (7 + 8 ) + 9
• 7 + 10

Multiple Choice

Which equation shows an example of the Associative Property of Multiplication?

• ( 3 x 4 ) x 7 = 3 x ( 4 X 7)
• 3 x 4 x 7 = 7 x 3 x 4 
• 3(7 - 4)  = 3(7) - 3(4)
• ( 3 x 4 ) x 7 = ( 4 x 3 ) x 7

Multiple Choice

Which equation is an example of the Commutative Property of Addition?

• 4 + 5 + 6 = ( 4 + 5 ) + 6
• 4( 5 + 6 ) = 4(5) + 4 (6)
• 4 + 5 + 6 = 5 + 4 + 6
• ( 4 + 5 ) + 6 = 4 + ( 5 + 6 )