# Commutative/Associative Properties

The
commutative property allows us to change the order of the
numbers
without changing the outcome of the problem. The
associative property
allows us to change the grouping of the
numbers.

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Study GuideCommutative/Associative Properties Worksheet/Answer keysCommutative/Associative Properties Worksheet/Answer keysCommutative/Associative Properties Worksheet/Answer keysCommutative/Associative Properties Worksheet/Answer keysCommutative/Associative Properties ### The resources above cover the following skills:

Number and Operations

Understand meanings of operations and how they relate to one another.

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Connections to the Grade 6 Focal Points

Algebra: Students use the commutative, associative, and distributive properties to show that two expressions are equivalent. They also illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., determining the area in two different ways for a rectangle whose dimensions are x + 3 by 5). Sequences, including those that arise in the context of finding possible rules for patterns of figures or stacks of objects, provide opportunities for students to develop formulas.

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