Commutative, Associative and Distributive Laws

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Tags

CCSS.3.OA.B.5

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Tags

CCSS.6.EE.A.3

What is the missing number?

3 x ____ = 9 x 3

• 7

• 10

• 9

• 11

Tags

CCSS.3.OA.B.5

What is the missing number?

4 + ( ___ + 5) = (4 + 7) + 5

• 5

• 7

• 4

• 9

Determine which equation shows associative property.

• $2+4+6=6+4+2$

• $(2+4)+6=2+(4+6)$

• $2\times(6-4)=2\times6-2\times4$
  

• $(2+4)+6=(4+2)+6$
  

Determine which equation shows commutative property.

• $7+\left(3+1\right)=\left(7+3\right)+1$
  

• $7+3=3+7$

• $2\times6=3\times4$

• $2\times\left(4-3\right)=2\times4-2\times3$

Determine which equation shows distributive property.

• $8\times\left(10-2\right)=8\times10-8\times2$

• $8\times\left(10-2\right)=8\times10+8\times2$

• $8\times\left(10-2\right)=8\times10\times8\times2$

• $8\times(10-2)=(8\times10)-2$

Which one of the following illustrates the Commutative Law of addition?

• $5+7=7+5$

• $5+7=3+9$
  

• $5+7=4+8$
  

• $5+7=12$
  

Which of the following illustrates the Commutative Law of multiplication?

• $3\times4=12$

• $3\times4=2\times6$
  

• $3\times4=12\times1$
  

• $3\times4=4\times3$
  

5 x (2 x 9) is also equal to :

• $5-(2-9)$

• $5\times2-9$
  

• $(5\times2)\times9$
  

• $5\times11$