Sure! Let’s solve this step by step. The worksheet asks you to
arrange decimals in ascending order (smallest to largest) for the first section, and
descending order (largest to smallest) for the second.
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##
✔ Part 1: Arrange in
Ascending Order (Smallest → Largest)
1) Decimals:
7.5, 17.5, 0.75, 0.075, 7.56, 75.6
✔ Step-by-step:
- Look at the whole number part first.
- 0.075 and 0.75 are less than 1 → smallest
- Compare 0.075 vs 0.75 → 0.075 < 0.75
- Then 7.5, 7.56 → 7.5 < 7.56
- Then 17.5, then 75.6
✔ Final order:
0.075, 0.75, 7.5, 7.56, 17.5, 75.6
---
2) Decimals:
0.85, 8.5, 118.5, 0.085, 11.85, 1.185
✔ Step-by-step:
- 0.085, 0.85, 1.185 → all under 2
- 0.085 < 0.85 < 1.185
- Then 8.5, 11.85, 118.5
✔ Final order:
0.085, 0.85, 1.185, 8.5, 11.85, 118.5
---
3) Decimals:
4.43, 44.3, 5.57, 55.7, 0.443, 0.043
✔ Step-by-step:
- 0.043, 0.443 → both under 1
- 0.043 < 0.443
- Then 4.43, 5.57 → 4.43 < 5.57
- Then 44.3, 55.7
✔ Final order:
0.043, 0.443, 4.43, 5.57, 44.3, 55.7
---
##
✔ Part 2: Arrange in
Descending Order (Largest → Smallest)
1) Decimals:
2.4, 3.7, 2.9, 2.93, 0.037, 0.29
✔ Step-by-step:
- 3.7 is largest
- Then 2.93, 2.9, 2.4 → 2.93 > 2.9 > 2.4
- Then 0.29, then 0.037
✔ Final order:
3.7, 2.93, 2.9, 2.4, 0.29, 0.037
---
2) Decimals:
4.276, 42.7, 4.38, 4.3, 4.270, 0.43
✔ Step-by-step:
- 42.7 is largest (whole number 42)
- Then compare 4.38, 4.3, 4.276, 4.270 → all start with 4
- 4.38 > 4.3 > 4.276 > 4.270 (note: 4.270 = 4.27, which is less than 4.276)
- Then 0.43
✔ Final order:
42.7, 4.38, 4.3, 4.276, 4.270, 0.43
---
3) Decimals:
0.17, 0.07, 7.07, 7.17, 0.017, 0.707
✔ Step-by-step:
- 7.17 > 7.07 → largest two
- Then 0.707, 0.17, 0.07, 0.017
- 0.707 > 0.17 > 0.07 > 0.017
✔ Final order:
7.17, 7.07, 0.707, 0.17, 0.07, 0.017
---
## 📝 Final Answers:
Ascending Order:
1)
0.075, 0.75, 7.5, 7.56, 17.5, 75.6
2)
0.085, 0.85, 1.185, 8.5, 11.85, 118.5
3)
0.043, 0.443, 4.43, 5.57, 44.3, 55.7
Descending Order:
1)
3.7, 2.93, 2.9, 2.4, 0.29, 0.037
2)
42.7, 4.38, 4.3, 4.276, 4.270, 0.43
3)
7.17, 7.07, 0.707, 0.17, 0.07, 0.017
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✔ You can now fill these into the blanks on your worksheet!
Let me know if you want a printable version or explanation of how to compare decimals visually!
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet.