IXL | Write equivalent expressions using properties

Complete the expressions.

Write each answer as a number, a variable, or the product of a number and a variable.

Commutative property of addition

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question

Complete the expressions.

Write each answer as a number, a variable, or the product of a number and a variable.

(

)

(

)

Associative property of addition

Add

key idea

You can use properties of operations to write equivalent expressions. Here are some common properties:

Commutative property of addition	a + b = b + a
Commutative property of multiplication	a b = b a
Associative property of addition	( a + b ) + c = a + ( b + c )
Associative property of multiplication	( a b ) c = a ( b c )
Distributive property	a ( b + c ) = a b + a c

solution

Look at the first two expressions.

(

)

(

)

Associative property of addition

Changing the way addends are grouped does not change the sum. These expressions are equivalent if the missing term is

(

)

(

)

Associative property of addition

Look at the last two expressions.

(

)

Add

These expressions are equivalent if the missing term is 9.

(

)

Add

Looking for more? Try these:

Lesson: The commutative property

Lesson: The associative property

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Identify properties of addition and multiplication

Lesson: The commutative property

Lesson: The associative property

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