Properties of Real Numbers (Lab)

The associative property means...

• You can regroup with parenthesis different numbers

• You can move around the order of the numbers

• Multiply all numbers

• Substitute

(5 + 3) + 2 = 5 + (3 + 2)

• Commutative  Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Tags

CCSS.2.NBT.B.5

CCSS.2.NBT.B.9

8 + (3 + 4) = 8 + (4 + 3) 

• Associative Addition
• Associative Multiplication
• Commutative Addition
• Commutative Multiplication

Tags

CCSS.2.NBT.B.5

CCSS.2.NBT.B.9

9 x (3 x 2) = (9 x 3) x 2 

• Associative Addition
• Associative Multiplication
• Commutative Addition
• Commutative Multiplication

Tags

CCSS.6.EE.A.3

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

• Associative Addition

• Associative Multiplication

• Commutative Addition

• Commutative Multiplication

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

• Commutative Addition

• Commutative Multiplication

• Associative Addition

• Associative Multiplication

This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 

• Associative Addition 
• Associative Multiplication
• Commutative Addition 
• Commutative Multiplication 

Tags

CCSS.3.OA.B.5

3 + (12 + 8) = 3 + (8 + 12) 

• Associative Addition 
• Associative Multiplication 
• Commutative Addition 
• Commutative Multiplication 

Tags

CCSS.2.NBT.B.5

CCSS.2.NBT.B.9

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

• Commutative Addition 
• Associative Addition 
• Commutative Multplication 
• Associative Multiplication 

Tags

CCSS.2.NBT.B.5

CCSS.2.NBT.B.7

(4 x 12) + 8 = (12 x 4) + 8 

• Associative Addition 
• Commutative Addition 
• Associative Multiplication 
• Commutative Multiplication

Tags

CCSS.3.OA.B.5