Printable worksheet for practicing comparing and ordering decimals, featuring six problems with blank lines for answers.

Absolutely! Let's solve this worksheet step by step. The goal is to arrange decimals in ascending order (smallest to largest) for problems 1–3, and in descending order (largest to smallest) for problems 4–6.

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🔢 Key Strategy: Comparing Decimals

To compare decimals:
1. Line them up by decimal point.
2. Compare digit by digit from left to right.
3. If digits are the same, move to the next digit.
4. Add trailing zeros if needed to make comparison easier (e.g., 0.6 = 0.600).

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## ✔ Problem 1: Arrange in ascending order
Numbers: 0.02, 0.6, 0.06, 0.5, 0.1, 0.007

Let’s write them with 3 decimal places for clarity:

- 0.020
- 0.600
- 0.060
- 0.500
- 0.100
- 0.007

Now compare:

Start with the tenths place:
- 0.007 → 0 tenths
- 0.020 → 0 tenths
- 0.060 → 0 tenths
- 0.100 → 1 tenth → larger than above
- 0.500 → 5 tenths
- 0.600 → 6 tenths

Among the 0-tenths group, compare hundredths:
- 0.007 → 0 hundredths
- 0.020 → 2 hundredths
- 0.060 → 6 hundredths

So order so far:
0.007 < 0.020 < 0.060 < 0.100 < 0.500 < 0.600

✔ Answer: 0.007, 0.02, 0.06, 0.1, 0.5, 0.6

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## ✔ Problem 2: Arrange in ascending order
Numbers: 11.81, 11.5, 11.07, 11.008, 11.29, 11.55

Write with 3 decimal places:

- 11.810
- 11.500
- 11.070
- 11.008
- 11.290
- 11.550

All have 11 before decimal — compare after decimal:

Look at tenths:
- 11.008 → 0
- 11.070 → 0
- 11.290 → 2
- 11.500 → 5
- 11.550 → 5
- 11.810 → 8

Among 0-tenths:
- 11.008 vs 11.070 → compare hundredths: 0 vs 7 → 11.008 < 11.070

Among 5-tenths:
- 11.500 vs 11.550 → 0 vs 5 → 11.500 < 11.550

Order:
11.008 < 11.070 < 11.290 < 11.500 < 11.550 < 11.810

✔ Answer: 11.008, 11.07, 11.29, 11.5, 11.55, 11.81

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## ✔ Problem 3: Arrange in ascending order
Numbers: 9.2, 2.9, 2.09, 9.002, 9.22, 2.99

Write with 3 decimal places:

- 9.200
- 2.900
- 2.090
- 9.002
- 9.220
- 2.990

Compare whole numbers first:
- Numbers starting with 2: 2.090, 2.900, 2.990
- Numbers starting with 9: 9.002, 9.200, 9.220

Within 2s:
- 2.090 < 2.900 < 2.990

Within 9s:
- 9.002 < 9.200 < 9.220

Combine:
2.090 < 2.900 < 2.990 < 9.002 < 9.200 < 9.220

✔ Answer: 2.09, 2.9, 2.99, 9.002, 9.2, 9.22

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## 📉 Problems 4–6: Descending Order (Largest to Smallest)

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## ✔ Problem 4: Arrange in descending order
Numbers: 7.41, 6.9, 7.041, 6.97, 5.909, 6.50

Write with 3 decimal places:

- 7.410
- 6.900
- 7.041
- 6.970
- 5.909
- 6.500

Compare whole numbers:
- 7s: 7.410, 7.041
- 6s: 6.900, 6.970, 6.500
- 5s: 5.909

Within 7s:
- 7.410 > 7.041

Within 6s:
- 6.970 > 6.900 > 6.500

Order from largest to smallest:
7.410 > 7.041 > 6.970 > 6.900 > 6.500 > 5.909

✔ Answer: 7.41, 7.041, 6.97, 6.9, 6.50, 5.909

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## ✔ Problem 5: Arrange in descending order
Numbers: 3.811, 6.987, 3.823, 3.012, 3.09, 3.555

Write with 3 decimal places:

- 3.811
- 6.987
- 3.823
- 3.012
- 3.090
- 3.555

Whole numbers:
- 6.987 → largest
- Then 3s: 3.823, 3.811, 3.555, 3.090, 3.012

Within 3s:
- Compare tenths: 8 > 5 > 0
- Among 8s: 3.823 > 3.811
- Among 0s: 3.090 > 3.012

Full order:
6.987 > 3.823 > 3.811 > 3.555 > 3.090 > 3.012

✔ Answer: 6.987, 3.823, 3.811, 3.555, 3.09, 3.012

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## ✔ Problem 6: Arrange in descending order
Numbers: 6.304, 10.67, 6.34, 8.45, 10.909, 8.298

Write with 3 decimal places:

- 6.304
- 10.670
- 6.340
- 8.450
- 10.909
- 8.298

Whole numbers:
- 10s: 10.909, 10.670
- 8s: 8.450, 8.298
- 6s: 6.340, 6.304

Within 10s:
- 10.909 > 10.670

Within 8s:
- 8.450 > 8.298

Within 6s:
- 6.340 > 6.304

Order from largest to smallest:
10.909 > 10.670 > 8.450 > 8.298 > 6.340 > 6.304

✔ Answer: 10.909, 10.67, 8.45, 8.298, 6.34, 6.304

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## 🎯 Final Answers:

Ascending Order:

1) 0.007, 0.02, 0.06, 0.1, 0.5, 0.6
2) 11.008, 11.07, 11.29, 11.5, 11.55, 11.81
3) 2.09, 2.9, 2.99, 9.002, 9.2, 9.22

Descending Order:

4) 7.41, 7.041, 6.97, 6.9, 6.50, 5.909
5) 6.987, 3.823, 3.811, 3.555, 3.09, 3.012
6) 10.909, 10.67, 8.45, 8.298, 6.34, 6.304

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