Show how to solve the problem 378x6 using place value with regrouping. Explain how you knew when to regroup.

6 (378) = 2268 = (189 + 189) 6

Properties are:

Addition, you can have 6 + 107 = 113

Commutative Property by moving: 107 + 6 = 113

Associative Property by grouping: (3 + 3) + (100 + 7) = 113

Distributive Property by allotting: 2 (3) + 107 = 113

Multiplication, you can have 6 x 107 = 642

Commutative Property by moving: 107 x 6 = 642

Associative Property by grouping: (3 + 3) x (100 + 7) = 642

Distributive Property by allotting: 2 (3) x 107 = 642