Let's solve each of the number line problems step by step. The goal is to
identify the decimal value at the point marked by the box on each number line.
🔍 Step-by-step strategy:
1.
Look at the first and last numbers on the number line.
2.
Count the number of intervals (spaces) between them.
3.
Calculate the value of each interval (difference ÷ number of intervals).
4.
Find the position of the box and calculate the decimal.
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✔ Problem 1:
Number line: From
2.0 to
2.1
- Difference: 2.1 - 2.0 =
0.1
- Number of spaces: 10 (since it’s divided into 10 equal parts)
- Each space = 0.1 ÷ 10 =
0.01
- Box is at the
6th tick mark from 2.0 → 6 × 0.01 =
0.06
- So, value = 2.0 + 0.06 =
2.06
✔ Answer: 2.06
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✔ Problem 2:
Number line: From
7.5 to
7.6
- Difference: 7.6 - 7.5 =
0.1
- Spaces: 10
- Each space = 0.1 ÷ 10 =
0.01
- Box is at the
3rd tick mark from 7.5 → 3 × 0.01 = 0.03
- Value = 7.5 + 0.03 =
7.53
✔ Answer: 7.53
---
✔ Problem 3:
Number line: From
9.3 to
9.4
- Difference: 9.4 - 9.3 =
0.1
- Spaces: 10
- Each space =
0.01
- Box is at the
7th tick mark from 9.3 → 7 × 0.01 = 0.07
- Value = 9.3 + 0.07 =
9.37
✔ Answer: 9.37
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✔ Problem 4:
Number line: From
5.5 to
5.6
- Difference: 0.1
- Spaces: 10
- Each space = 0.01
- Box is at the
4th tick mark from 5.5 → 4 × 0.01 = 0.04
- Value = 5.5 + 0.04 =
5.54
✔ Answer: 5.54
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✔ Problem 5:
Number line: From
3.7 to
3.8
- Difference: 0.1
- Spaces: 10
- Each space = 0.01
- Box is at the
6th tick mark from 3.7 → 6 × 0.01 = 0.06
- Value = 3.7 + 0.06 =
3.76
✔ Answer: 3.76
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✔ Problem 6:
Number line: From
8.9 to
9.0
- Difference: 9.0 - 8.9 =
0.1
- Spaces: 10
- Each space = 0.01
- Box is at the
9th tick mark from 8.9 → 9 × 0.01 = 0.09
- Value = 8.9 + 0.09 =
8.99
✔ Answer: 8.99
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🟩 Final Answers:
| Problem | Decimal |
|--------|---------|
| 1 | 2.06 |
| 2 | 7.53 |
| 3 | 9.37 |
| 4 | 5.54 |
| 5 | 3.76 |
| 6 | 8.99 |
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✔ Summary:
All number lines go from one tenth to the next (e.g., 2.0 to 2.1), split into
10 equal parts, so each small division is
0.01 (one hundredth). You just count how many steps from the starting point and add that to the start value.
Let me know if you'd like a visual explanation or printable version!
Parent Tip: Review the logic above to help your child master the concept of decimals on number line worksheet.