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vlabodo [156]
3 years ago
10

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

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0
<span>1. 6 (378) = 2268 = (189 + 189)6


Properties are:
Addition, you can have 6 + 107 = 113 </span>
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 
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
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Lets factor the denominator d^2 -2d-8

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LCD: (d-4)(d+2)

\frac{-3d}{(d-4)(d+2)} +\frac{3(d+2)}{(d-4)(d+2)} =\frac{-2(d-4)}{(d+2)(d-4)}

Denominators are same on both sides

So equate the numerators

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6 = -2d + 8

subtract 8 on both sides

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