Dividing Decimals with Models | Worksheet - Free Printable

You're working on a worksheet titled “Dividing Decimals with Models”, which asks you to draw a model (using the 10x10 grid) to solve each decimal division expression.

Let’s go through each problem one by one, explaining how to model and solve it.

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## 🟩 Example: 0.8 ÷ 4 = 0.2

✔ How it works:
- The 10x10 grid represents 1 whole.
- Each small square = 0.01 (since 100 squares = 1.00).
- 0.8 = 80 small squares (shaded green in example).
- Dividing 0.8 by 4 means splitting those 80 squares into 4 equal groups.
- 80 ÷ 4 = 20 → so each group has 20 squares = 0.20 → 0.2

✔ Model Tip: Shade 80 squares total, then divide them visually into 4 equal parts — each part will have 20 squares.

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## 🔢 Problem 1: 0.6 ÷ 2 = ___

✔ Step-by-step:

1. 0.6 = 60 small squares (since 0.6 × 100 = 60).
2. Divide 60 squares into 2 equal groups → 60 ÷ 2 = 30 squares per group.
3. 30 squares = 0.30 → so answer is 0.3

🖍️ How to draw:

- Shade 60 squares in your grid (e.g., first 6 full rows).
- Draw a line down the middle (vertically or horizontally) to split into 2 equal parts.
- Each part should have 30 squares → label each as 0.3.

> ✔ Answer: 0.3

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## 🔢 Problem 2: 1.5 ÷ 3 = ___

✔ Step-by-step:

1. 1.5 = 1 whole + 0.5 = 100 squares + 50 squares = 150 squares.
- But wait — our grid is only 100 squares! So we need to think differently.

💡 Important note: Since the grid is only 100 squares (representing 1.0), we can’t directly show 1.5 in one grid. So we use two grids:

- Grid 1: fully shaded = 1.0
- Grid 2: shade 50 squares = 0.5
→ Total = 1.5

Now divide 1.5 into 3 equal parts:

1.5 ÷ 3 = 0.5

So each group gets 0.5.

🖍️ How to draw:

- Use two grids.
- In Grid 1: shade entire grid (1.0)
- In Grid 2: shade half (50 squares) → that’s 0.5 → total 1.5
- Now split the total 150 squares into 3 equal parts → each part = 50 squares → 0.5

You can show this by grouping:
- Group 1: 50 squares from Grid 2
- Group 2: 50 squares from Grid 1
- Group 3: remaining 50 squares from Grid 1

> ✔ Answer: 0.5

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## 🔢 Problem 3: 1.35 ÷ 9 = ___

✔ Step-by-step:

1. 1.35 = 135 small squares (1.35 × 100 = 135).
2. Again, we need more than one grid → use two grids:
- Grid 1: fully shaded = 100 squares = 1.00
- Grid 2: shade 35 squares = 0.35 → total 1.35

3. Divide 135 squares into 9 equal groups → 135 ÷ 9 = 15 squares per group

4. 15 squares = 0.15

🖍️ How to draw:

- Shade 100 squares in Grid 1, 35 in Grid 2 → total 135.
- Now divide these 135 squares into 9 equal parts → each part = 15 squares.
- You can show this by drawing 9 sections (maybe using lines or coloring) — each section must contain exactly 15 squares.
- Since 15 squares = 0.15, each group represents 0.15

> ✔ Answer: 0.15

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## ✔ Final Answers:

1. 0.6 ÷ 2 = 0.3
2. 1.5 ÷ 3 = 0.5
3. 1.35 ÷ 9 = 0.15

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## 📝 Teacher/Student Tip:

When modeling decimals with grids:
- 1 grid = 1.00 = 100 squares
- Each square = 0.01
- If the number is >1.0, use multiple grids.
- To divide: count total squares, divide by divisor, then shade that many squares per group.

This visual method helps build understanding of decimal division before moving to abstract algorithms.

Let me know if you want printable versions or step-by-step drawings for each problem! 😊