Math / Numbers & Operations

QuestionName: Date: Lesson 10: I can divide by multiples of 10 when the basic fact divides evenly by using place value knowledge and the powers of ten.
Problem: Jose has 270 hockey cards to arrange in 9 boxes. Each box is to hold the same number of cards. How many cards should he place in each box?
Let's Practice: What if Jose had 270 cards to put into 90 boxes?

Studdy Solution

STEP 1

1. Jose has a total of $270$ hockey cards.
2. Initially, Jose needs to distribute these cards evenly into $9$ boxes.
3. Each box should contain the same number of cards.
4. We will also consider the scenario where Jose has $270$ cards to distribute into $90$ boxes.

STEP 2

1. Calculate the number of cards per box for 9 boxes.
2. Calculate the number of cards per box for 90 boxes.

STEP 3

To find out how many cards Jose should place in each of the $9$ boxes, we need to divide the total number of cards by the number of boxes.
$\frac{270 \text{ cards}}{9 \text{ boxes}}$

STEP 4

Perform the division:
$\frac{270}{9} = 30$
Jose should place $30$ cards in each box when using $9$ boxes.

STEP 5

Now, consider the scenario where Jose has $270$ cards to distribute into $90$ boxes. We need to divide the total number of cards by the new number of boxes.
$\frac{270 \text{ cards}}{90 \text{ boxes}}$

STEP 6

Perform the division:
$\frac{270}{90} = 3$
Jose should place $3$ cards in each box when using $90$ boxes.
The number of cards per box for the first scenario is:
$\boxed{30 \text{ cards per box}}$
The number of cards per box for the second scenario is:
$\boxed{3 \text{ cards per box}}$

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Studdy Solution

STEP 1

1. Jose has a total of $270$ hockey cards.
2. Initially, Jose needs to distribute these cards evenly into $9$ boxes.
3. Each box should contain the same number of cards.
4. We will also consider the scenario where Jose has $270$ cards to distribute into $90$ boxes.

STEP 2

1. Calculate the number of cards per box for 9 boxes.
2. Calculate the number of cards per box for 90 boxes.

STEP 3

To find out how many cards Jose should place in each of the $9$ boxes, we need to divide the total number of cards by the number of boxes.
$\frac{270 \text{ cards}}{9 \text{ boxes}}$

STEP 4

Perform the division:
$\frac{270}{9} = 30$
Jose should place $30$ cards in each box when using $9$ boxes.

STEP 5

Now, consider the scenario where Jose has $270$ cards to distribute into $90$ boxes. We need to divide the total number of cards by the new number of boxes.
$\frac{270 \text{ cards}}{90 \text{ boxes}}$

STEP 6

Perform the division:
$\frac{270}{90} = 3$
Jose should place $3$ cards in each box when using $90$ boxes.
The number of cards per box for the first scenario is:
$\boxed{30 \text{ cards per box}}$
The number of cards per box for the second scenario is:
$\boxed{3 \text{ cards per box}}$

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Studdy Solution

STEP 1

1. Jose has a total of 270 270 270 hockey cards.2. Initially, Jose needs to distribute these cards evenly into 9 9 9 boxes.3. Each box should contain the same number of cards.4. We will also consider the scenario where Jose has 270 270 270 cards to distribute into 90 90 90 boxes.

STEP 2

1. Calculate the number of cards per box for 9 boxes.2. Calculate the number of cards per box for 90 boxes.

STEP 3

To find out how many cards Jose should place in each of the 9 9 9 boxes, we need to divide the total number of cards by the number of boxes.270 cards9 boxes \frac{270 \text{ cards}}{9 \text{ boxes}} 9 boxes270 cards​

STEP 4

Perform the division:2709=30 \frac{270}{9} = 30 9270​=30Jose should place 30 30 30 cards in each box when using 9 9 9 boxes.

STEP 5

Now, consider the scenario where Jose has 270 270 270 cards to distribute into 90 90 90 boxes. We need to divide the total number of cards by the new number of boxes.270 cards90 boxes \frac{270 \text{ cards}}{90 \text{ boxes}} 90 boxes270 cards​

STEP 6

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1. Jose has a total of $270$ hockey cards.
2. Initially, Jose needs to distribute these cards evenly into $9$ boxes.
3. Each box should contain the same number of cards.
4. We will also consider the scenario where Jose has $270$ cards to distribute into $90$ boxes.

1. Calculate the number of cards per box for 9 boxes.
2. Calculate the number of cards per box for 90 boxes.

To find out how many cards Jose should place in each of the $9$ boxes, we need to divide the total number of cards by the number of boxes.
$\frac{270 \text{ cards}}{9 \text{ boxes}}$

Perform the division:
$\frac{270}{9} = 30$
Jose should place $30$ cards in each box when using $9$ boxes.

Now, consider the scenario where Jose has $270$ cards to distribute into $90$ boxes. We need to divide the total number of cards by the new number of boxes.
$\frac{270 \text{ cards}}{90 \text{ boxes}}$