Apply properties of operations as strategies to multiply and divide.
Operations and Algebraic Thinking
Understand properties of multiplication and the relationship between multiplication and division.
Apply properties of operations as strategies to multiply and divide.
Operations and Algebraic Thinking
Understand properties of multiplication and the relationship between multiplication and division.
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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.)
Understand and apply properties of operations and the relationship between addition and subtraction.
Fluently multiply multi-digit whole numbers using the standard algorithm.
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
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.
Use the four operations with whole numbers to solve problems.
Apply properties of operations as strategies to multiply and divide.
Apply the commutative property of multiplication (not identification or definition of the property).
Apply the associative property of multiplication (not identification or definition of the property).
Apply properties of operations as strategies to multiply and divide.
Apply properties of operations as strategies to multiply and divide.