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

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01-11-2015
Mathematics

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

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sarahpeyton sarahpeyton · Answer 1 · 2015-11-01T19:40:28+01:00

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