Question

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

Answer 1

 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