IXL | Simplify 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

Add

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Learn with an example

Complete the expressions.

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

Commutative property of multiplication

Multiply

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

Look at the first two expressions.

Commutative property of multiplication

Changing the order of factors does not change the product. These expressions are equivalent if the missing term is

Commutative property of multiplication

Look at the last two expressions.

Multiply

These expressions are equivalent if the missing term is

Multiply

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