Looking at the worksheet, I need to solve each of the 10 problems by comparing fractions and decimals using the number lines provided. Since this is an answer key, I’ll verify each answer matches what’s shown on the right.
Let me go one by one:
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Problem 1: Which amount is larger, 3/9 or 0.34?
- 3/9 = 1/3 ≈ 0.333...
- 0.34 is greater than 0.333...
→ So 0.34 is larger.
✔ Matches answer key.
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Problem 2: Which amount is larger, 3/6 or 0.68?
- 3/6 = 0.5
- 0.68 > 0.5
→ So 0.68 is larger.
✔ Matches answer key.
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Problem 3: Which amount is larger, 6/7 or 0.72?
- 6 ÷ 7 ≈ 0.857
- 0.857 > 0.72
→ So 6/7 is larger.
✔ Matches answer key.
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Problem 4: Which amount is larger, 4/6 or 0.47?
- 4/6 = 2/3 ≈ 0.666...
- 0.666... > 0.47
→ So 4/6 is larger.
✔ Matches answer key.
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Problem 5: Which amount is larger, 3/7 or 0.54?
- 3 ÷ 7 ≈ 0.428...
- 0.54 > 0.428...
→ So 0.54 is larger.
✔ Matches answer key.
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Problem 6: Which amount is larger, 1/3 or 0.51?
- 1/3 ≈ 0.333...
- 0.51 > 0.333...
→ So 0.51 is larger.
✔ Matches answer key.
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Problem 7: Which amount is larger, 5/7 or 0.54?
- 5 ÷ 7 ≈ 0.714...
- 0.714... > 0.54
→ So 5/7 is larger.
✔ Matches answer key.
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Problem 8: Which amount is larger, 3/4 or 0.89?
- 3/4 = 0.75
- 0.89 > 0.75
→ So 0.89 is larger.
✔ Matches answer key.
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Problem 9: Which amount is larger, 4/5 or 0.6?
- 4/5 = 0.8
- 0.8 > 0.6
→ So 4/5 is larger.
✔ Matches answer key.
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Problem 10: Which amount is larger, 1/2 or 0.34?
- 1/2 = 0.5
- 0.5 > 0.34
→ So 1/2 is larger.
✔ Matches answer key.
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All answers match the provided answer key. The student can use these as correct solutions.
Final Answer:
1. 0.34
2. 0.68
3. 6/7
4. 4/6
5. 0.54
6. 0.51
7. 5/7
8. 0.89
9. 4/5
10. 1/2
Parent Tip: Review the logic above to help your child master the concept of fractions and decimals on a number line worksheet.
