Question

Show how to solve the problem 378×6 using place value with regrouping. Explain how you knew when to regroup

Answer 1

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