Solve using properties of multiplication

Learning Objectives Identify the Commutative, Associative, and Distributive properties of multiplication. Use the Commutative Property to solve related multiplication facts (e.g., 4 x 6 and 6 x 4). Use the Associative Property to regroup three factors to make multiplication easier (e.g., (2 x 8) x 5 = 2 x (8 x 5)). Use the Distributive Property to break apart a larger factor into two smaller, easier multiplication problems (e.g., 7 x 12 = 7 x (10 + 2)). Apply properties of multiplication to solve word problems. Explain which property helps them solve a specific problem. Ever notice that 3 rows of 5 apples is the same amount as 5 rows of 3 apples? 🍎 Let's learn the math magic behind why that works! In this lesson, we will learn about special 'rules' for multi...

TermDefinitionExample FactorsThe numbers that are multiplied together in a multiplication problem.In the problem 5 x 8 = 40, the numbers 5 and 8 are the factors. ProductThe answer to a multiplication problem.In the problem 5 x 8 = 40, the number 40 is the product. Commutative PropertyThis property says you can switch the order of the factors, and the product will stay the same. It's also called the 'Order Property'.4 x 7 is the same as 7 x 4. Both equal 28. Associative PropertyThis property says when you multiply three or more numbers, you can change how you group them with parentheses, and the product will stay the same. It's also called the 'Grouping Property'.(2 x 3) x 5 is the same as 2 x (3 x 5). Both equal 30. Distributive PropertyThis property lets you...

Commutative Property a \times b = b \times a Use this when you know a multiplication fact one way but not the other. If you know 8 x 3, you also know 3 x 8. Associative Property (a \times b) \times c = a \times (b \times c) Use this when multiplying three numbers. Look for a pair that is easy to multiply first, like numbers that make 10. Distributive Property a \times (b + c) = (a \times b) + (a \times c) Use this to break down a hard multiplication problem into two easier ones. It's great for multiplying bigger numbers.