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Using the Associative, Commutative and Distributive Properties for Multiplication WORKSHEET
Suitable for Grades: 4th Grade, 5th Grade
CCSS: 4.NBT.B.5, 5.OA.A.2
CCSS Description: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Using the Associative, Commutative and Distributive Properties for Multiplication WORKSHEET DESCRIPTION
This worksheet is designed to get learners thinking about regrouping, reordering, and partitioning numbers in products to make the calculations easier to work out. Section A encourages learners to use the associative and commutative properties to regroup or reorder numbers in a product to form 10 from a 5 and 2. Section B then leads learners through the process of partitioning a 2-digit number into "ten" and "one" parts so that the distributive property can be used. Section C has some "fill in the blank" questions covering the types seen in sections A and B. Section D then provides some other problems to solve using the properties practiced.
