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Lucky to Learn Math - Lesson 9.16 - Division - Differentiation ... - Free Printable

Lucky to Learn Math - Lesson 9.16 - Division - Differentiation ...

Educational worksheet: Lucky to Learn Math - Lesson 9.16 - Division - Differentiation .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Lucky to Learn Math - Lesson 9.16 - Division - Differentiation ...
Let's solve each division problem using tape diagrams (also known as bar models). A tape diagram helps visualize division by breaking a total amount into equal parts.

---

🔷 How to Use a Tape Diagram for Division:


1. Draw a long rectangle (the "tape") representing the total number.
2. Divide it into equal parts based on the divisor.
3. Each part represents the quotient (how much is in each group).
4. Label the total and each equal part.

We’ll go through each problem one by one.

---

1. 30 ÷ 5 = ? *(Already solved as an example)*



- Total: 30
- Divided into 5 equal parts
- Each part = 6 → So, 30 ÷ 5 = 6

Correct!

---

🟦 2. 24 ÷ 6 = ?



- Total: 24
- Divided into 6 equal parts
- We need to find how much is in each part.

👉 Think: What number × 6 = 24?
Answer: 4

So, each of the 6 boxes should have 4.

```
Tape Diagram:
[ 4 ] [ 4 ] [ 4 ] [ 4 ] [ 4 ] [ 4 ]

24
```

Answer: 24 ÷ 6 = 4

---

🟨 3. 12 ÷ 4 = ?



- Total: 12
- Divided into 4 equal parts

👉 12 ÷ 4 = 3

Each box gets 3

```
[ 3 ] [ 3 ] [ 3 ] [ 3 ]

12
```

Answer: 12 ÷ 4 = 3

---

🟪 4. 36 ÷ 6 = ?



- Total: 36
- Divided into 6 equal parts

👉 36 ÷ 6 = 6

Each box: 6

```
[ 6 ] [ 6 ] [ 6 ] [ 6 ] [ 6 ] [ 6 ]

36
```

Answer: 36 ÷ 6 = 6

---

🟫 5. 50 ÷ 10 = ?



- Total: 50
- Divided into 10 equal parts

👉 50 ÷ 10 = 5

Each box: 5

```
[ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ] [ 5 ]

50
```

Answer: 50 ÷ 10 = 5

---

🟬 6. 18 ÷ 3 = ?



- Total: 18
- Divided into 3 equal parts

👉 18 ÷ 3 = 6

Each box: 6

```
[ 6 ] [ 6 ] [ 6 ]

18
```

Answer: 18 ÷ 3 = 6

---

🟭 7. 16 ÷ 4 = ?



- Total: 16
- Divided into 4 equal parts

👉 16 ÷ 4 = 4

Each box: 4

```
[ 4 ] [ 4 ] [ 4 ] [ 4 ]

16
```

Answer: 16 ÷ 4 = 4

---

Final Answers:



| Problem | Answer |
|-------------|--------|
| 30 ÷ 5 | 6 |
| 24 ÷ 6 | 4 |
| 12 ÷ 4 | 3 |
| 36 ÷ 6 | 6 |
| 50 ÷ 10 | 5 |
| 18 ÷ 3 | 6 |
| 16 ÷ 4 | 4 |

---

💡 How to Fill in the Tape Diagrams:



For each problem:
1. Write the total (like 24) above the tape.
2. Draw the correct number of boxes (equal to the divisor).
3. Fill each box with the quotient.
4. Write the answer in the blank.

Example for 24 ÷ 6:
```
24
┌───┬───┬───┬───┬───┬───┐
│ 4 │ 4 │ 4 │ 4 │ 4 │ 4 │
└───┴───┴───┴───┴───┴───┘
```

Then write: 24 ÷ 6 = 4

---

All problems are now solved using tape diagrams! Let me know if you'd like a printable version or visual drawings.
Parent Tip: Review the logic above to help your child master the concept of tape diagram worksheet.
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