Question

5. There are 52 cards in a deck. Show how to use the

Distributive Property to find the number of cards in 9 decks.
9 X 52 (9 X
5
9 X 52 =
9 X 52 =
+
_) + (9 X

Answer 1

The Distributive Property is used to find the total number of cards in 9 decks by multiplying 9 by the sum of 50 and 2, resulting in 468 cards.

Step-by-step explanation:

The student is asking how to use the Distributive Property to find the total number of cards in 9 decks, given that there are 52 cards in a single deck. The Distributive Property states that a(b + c) = ab + ac. For calculating the number of cards in 9 decks, you can break 52 into 50 and 2, and then apply the property.

Here is the step-by-step calculation:

1. 
   
3. Break down 52 into 50 and 2 (52 = 50 + 2).
4. 
   
6. Use the Distributive Property with 9 decks: 9 × 52 = 9 × (50 + 2).
7. 
   
9. Multiply separately: (9 × 50) + (9 × 2).
10. 
    
12. Calculate: 450 + 18 = 468.

The result is 468 cards in 9 decks.