options: Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.

Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) ^( )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.)
problem_activity: Task
Decide if the equations are true or false. Explain your answer.
4 x 5 = 20
34 = 7 x 5
3 x 6 = 9 x 2
5 x 8 = 10 x 4
6 x 9 = 5 x 10
2 x (3 x 4) = 8 x 3
8 x 6 = 7 x 6 + 6
4 x (10 + 2) = 40 + 2


correct_option_index: 1