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Math worksheet for comparing and ordering decimals, designed for educational practice.

Worksheet titled "Comparing and Ordering Decimals" with exercises to arrange decimal numbers in ascending and descending order, featuring three sets of problems.

Worksheet titled "Comparing and Ordering Decimals" with exercises to arrange decimal numbers in ascending and descending order, featuring three sets of problems.

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Show Answer Key & Explanations Step-by-step solution for: Comparing and Ordering Decimals Worksheets - Math Monks
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

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## 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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Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet.
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