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16 January, 21:54

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

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  1. 16 January, 22:33
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    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
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