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Operations and Algebraic Thinking Understand properties of multiplication and the relationship between multiplication and division. 5Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

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3oa5 Worksheets - Completing Associative Property worksheet

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Completing Associative Property

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Practice using parentheses to see how numbers can be grouped in a multiplication equation.
Find the missing digit that makes two grouped multiplication expressions equal.

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3oa5 Worksheets - Finding Associative Property of Multiplication worksheet

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Finding Associative Property of Multiplication

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Recognize that changing how factors are grouped in a multiplication problem does not change the product.
Rewrite multiplication expressions using parentheses to show a different grouping of the same factors.
Decide which rewritten multiplication sentence matches the original problem.

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3oa5 Worksheets - Associative Property - Multiple Choice worksheet

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Associative Property - Multiple Choice

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Recognize when a multiplication equation is using the associative property by changing how the factors are grouped.

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3oa5 Worksheets - Associative Property - Missing Value worksheet

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Associative Property - Missing Value

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Find the missing number that makes a multiplication equation true.
Rewrite a multiplication problem by regrouping the factors without changing the product.
Explain why changing the grouping in multiplication does not change the answer.

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3oa5 Worksheets - Finding Equivalent Associative Property worksheet

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Finding Equivalent Associative Property

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Practice rewriting multiplication or addition problems by changing the grouping with parentheses.
Recognize when two expressions are equivalent even if the numbers are grouped differently.
Use the associative property to match an expression to another expression with the same value.
Check that regrouping does not change the product or sum.

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3oa5 Worksheets - Commutative Property - Multiple Choice worksheet

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Commutative Property - Multiple Choice

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Recognize that switching the order of factors does not change the product.
Decide whether a multiplication statement shows the commutative property or not.

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3oa5 Worksheets - Using the Distributive Property worksheet

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Using the Distributive Property

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Practice rewriting a multiplication problem by breaking one factor into a sum inside parentheses.
Use the distributive property to expand expressions like a(b + c) into a×b + a×c.
Solve multiplication problems by distributing and then adding the partial products.
Match an expression with parentheses to an equivalent expanded expression.

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3oa5 Worksheets - Distributive Property worksheet

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Distributive Property

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Recognize when a multiplication expression is being broken apart using the distributive property.
Check whether two multiplication expressions are equivalent by thinking about how the factors are grouped.

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3oa5 Worksheets - Identity Property - Multiple Choice worksheet

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Identity Property - Multiple Choice

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Recognize that multiplying any number by 1 keeps the number the same.
Decide which multiplication statement shows the identity property of multiplication.

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3oa5 Worksheets - Mixed - Fill in the Blank worksheet

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Mixed - Fill in the Blank

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Recognize which multiplication property is being used in an equation (commutative, associative, distributive, or identity).

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