Commutative, Associative, Distributive Properties (Grade 3)
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Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 3
Common Core For Grade 3
Videos, examples, solutions, and lessons to help Grade 3 students learn to apply 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.)
Common Core: 3.OA.5
Commutative Property of Multiplication
The order of numbers does not matter when multiplying. Associative Property of Multiplication
The sum or product stays the same when grouping of addends or factors is changed. Distributive Property
When multiplying a factor and a sum, you can distribute the factor across the addition.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 3
Common Core For Grade 3
Videos, examples, solutions, and lessons to help Grade 3 students learn to apply 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.)
Common Core: 3.OA.5
Suggested Learning Target
- I can explain the commutative, associative, and distributive property of multiplication.
- I can apply the commutative, associative, and distributive properties to decompose, regroup, and/or reorder factors to make it easier to multiply two or more factors.
- I can explain how the operation properties can and cannot apply to division and use those properties that can apply to make it easier to find the quotient.
The order of numbers does not matter when multiplying. Associative Property of Multiplication
The sum or product stays the same when grouping of addends or factors is changed. Distributive Property
When multiplying a factor and a sum, you can distribute the factor across the addition.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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