It looks like you've uploaded a worksheet titled
"Number Line Division" that asks students to
indicate hops on each number line to complete the division sentences.
Let me walk through how to solve this step-by-step, assuming the image shows number lines with division problems and blank spaces for answers. Since I can't see the actual image, I'll explain based on typical problems of this type.
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🔍 Understanding the Task
Each problem is a
division sentence, such as:
> 20 ÷ 5 = ___
And below it is a
number line from 0 to some number (e.g., 0 to 20), marked in equal intervals.
The goal is to:
1. Use
equal jumps (hops) on the number line to divide the total into equal parts.
2. Count how many
jumps of size
divisor are needed to reach the dividend.
3. The number of jumps is the
quotient.
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✔ Step-by-Step Solution Method
Let’s go through each problem one by one, using logic and standard number line division.
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#### 1.
20 ÷ 5 = ___
- Start at 0.
- Make hops of size
5.
- Hops: 0 → 5 → 10 → 15 → 20
- That's
4 hops.
- So,
20 ÷ 5 = 4
✔ Answer:
4
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#### 2.
36 ÷ 9 = ___
- Hops of size
9: 0 → 9 → 18 → 27 → 36
- That’s
4 hops.
- So,
36 ÷ 9 = 4
✔ Answer:
4
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#### 3.
12 ÷ 4 = ___
- Hops of size
4: 0 → 4 → 8 → 12
- That’s
3 hops.
- So,
12 ÷ 4 = 3
✔ Answer:
3
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#### 4.
16 ÷ 2 = ___
- Hops of size
2: 0 → 2 → 4 → 6 → 8 → 10 → 12 → 14 → 16
- That’s
8 hops.
- So,
16 ÷ 2 = 8
✔ Answer:
8
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#### 5.
15 ÷ 3 = ___
- Hops of size
3: 0 → 3 → 6 → 9 → 12 → 15
- That’s
5 hops.
- So,
15 ÷ 3 = 5
✔ Answer:
5
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#### 6.
8 ÷ 1 = ___
- Hops of size
1: 0 → 1 → 2 → 3 → 4 → 5 → 6 → 7 → 8
- That’s
8 hops.
- So,
8 ÷ 1 = 8
✔ Answer:
8
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📝 Final Answers:
| Problem | Answer |
|---------------|--------|
| 20 ÷ 5 | 4 |
| 36 ÷ 9 | 4 |
| 12 ÷ 4 | 3 |
| 16 ÷ 2 | 8 |
| 15 ÷ 3 | 5 |
| 8 ÷ 1 | 8 |
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💡 How to Fill in the Number Lines
On each number line:
- Mark the starting point:
0
- Make
equal-sized jumps equal to the
divisor
- Count how many jumps it takes to reach the
dividend
- That count is the
quotient
For example, for
20 ÷ 5, draw arrows from:
- 0 → 5 (1st hop)
- 5 → 10 (2nd)
- 10 → 15 (3rd)
- 15 → 20 (4th)
Label each hop as “+5” or just mark them clearly.
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✔ Summary
This activity helps students visualize
division as repeated subtraction or
grouping via equal jumps on a number line. It reinforces understanding of division beyond memorization.
If you'd like, I can generate a printable version of the completed worksheet or help you create visual diagrams. Let me know!
Parent Tip: Review the logic above to help your child master the concept of division on a number line worksheet.
