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Decimal Division Models

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Decimal Division Models

Decimal division models illustration

📊 Part 1: Understanding Decimal Division Models

I can: Use area models and number lines to divide decimals by whole numbers.

1. Look at this area model for 2.4 ÷ 3. Which statement best describes what it shows?

Dividing 2.4 into 3 equal parts

Adding 2.4 three times

Subtracting 3 from 2.4

Multiplying 2.4 by 3

2. When using a number line to solve 3.6 ÷ 4, you would:

Make 4 equal jumps from 0 to 3.6

Make 3.6 jumps of size 4

Start at 3.6 and subtract 4

Count by 4s until you reach 3.6

3. Which decimal grids could represent 4.8 ÷ 6? Check all that apply:

4 whole grids and 8 tenths divided into 6 groups

48 tenths split equally among 6 groups

6 groups with 0.8 in each group

4.8 groups with 6 in each group

4. The quotient of 5.4 ÷ 3 using place value strategy is:

1.8

18

0.18

2.7

✏️ Part 2: Problem Solving with Models

I can: Choose appropriate strategies to solve decimal division problems and explain my reasoning.

5. Draw an area model or number line to solve 6.3 ÷ 7. Show your work below:

Answer: 6.3 ÷ 7 = __________

6. Maya has $8.40 to buy pencils. Each pencil costs $1.40. Use a strategy to find how many pencils she can buy.

Maya can buy __________ pencils.

7. Explain how moving decimal points helps when dividing 1.2 ÷ 0.4:
8. A ribbon that is 7.8 feet long is cut into pieces that are each 1.3 feet long. How many pieces will there be?

There will be __________ pieces of ribbon.

🎯 Part 3: Reflection and Extension

9. Which strategy do you prefer for dividing decimals: area models, number lines, or place value shifting? Explain why:
10. Challenge: Create your own real-world problem that involves dividing a decimal by a whole number. Then solve it using your preferred strategy.

Your problem:

Your solution:

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