Let’s go step by step to solve each part of the worksheet.
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Part 1: Arrange from smallest to largest
We’ll compare decimals digit by digit, starting from the left (whole number first, then tenths, then hundredths).
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a) 3.17, 9.14, 6.34, 21.27, 7.86, 0.96
Look at whole numbers first:
- 0.96 → 0
- 3.17 → 3
- 6.34 → 6
- 7.86 → 7
- 9.14 → 9
- 21.27 → 21
So order is:
0.96, 3.17, 6.34, 7.86, 9.14, 21.27
✔ Checked — correct.
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b) 8.65, 7.19, 37.9, 3.39, 7.09, 8.70
Whole numbers:
- 3.39 → 3
- 7.09 → 7
- 7.19 → 7 → now compare tenths: 0 vs 1 → 7.09 < 7.19
- 8.65 → 8
- 8.70 → 8 → compare tenths: 6 vs 7 → 8.65 < 8.70
- 37.9 → 37
Order:
3.39, 7.09, 7.19, 8.65, 8.70, 37.9
✔ Checked — correct.
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c) 29.7, 94.9, 3.39, 6.17, 3.45, 7.79
Whole numbers:
- 3.39 → 3
- 3.45 → 3 → compare tenths: 3 vs 4 → 3.39 < 3.45
- 6.17 → 6
- 7.79 → 7
- 29.7 → 29
- 94.9 → 94
Order:
3.39, 3.45, 6.17, 7.79, 29.7, 94.9
✔ Checked — correct.
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d) 1.29, 3.31, 1.68, 2.42, 2.91, 2.48
Whole numbers:
- 1.29 → 1
- 1.68 → 1 → compare tenths: 2 vs 6 → 1.29 < 1.68
- 2.42 → 2
- 2.48 → 2 → compare hundredths: 2 vs 8 → 2.42 < 2.48
- 2.91 → 2 → compare with others: 2.42 and 2.48 are less than 2.91? Yes, because 4 < 9 in tenths place.
Wait — let’s group all 2s:
2.42, 2.48, 2.91 → compare:
- 2.42 vs 2.48 → 2.42 < 2.48
- 2.48 vs 2.91 → 4 < 9 → so 2.48 < 2.91
So full order:
1.29, 1.68, 2.42, 2.48, 2.91, 3.31
✔ Checked — correct.
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e) 0.87, 0.51, 1.37, 2.58, 2.51, 1.93
Whole numbers:
- 0.51 → 0
- 0.87 → 0 → 5 < 8 → 0.51 < 0.87
- 1.37 → 1
- 1.93 → 1 → 3 < 9 → 1.37 < 1.93
- 2.51 → 2
- 2.58 → 2 → 5 = 5, then 1 < 8 → 2.51 < 2.58
Order:
0.51, 0.87, 1.37, 1.93, 2.51, 2.58
✔ Checked — correct.
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Part 2: Arrange from largest to smallest
Now we reverse the logic — start with biggest whole number, then work down.
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a) 1.48, 0.59, 0.63, 1.57, 0.93, 1.69
Whole numbers:
- 1.69 → 1
- 1.57 → 1
- 1.48 → 1
- 0.93 → 0
- 0.63 → 0
- 0.59 → 0
Group 1s: 1.69, 1.57, 1.48 → compare tenths: 6 > 5 > 4 → so 1.69 > 1.57 > 1.48
Group 0s: 0.93, 0.63, 0.59 → 9 > 6 > 5 → so 0.93 > 0.63 > 0.59
Full order (largest to smallest):
1.69, 1.57, 1.48, 0.93, 0.63, 0.59
✔ Checked — correct.
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b) 28.8, 32.7, 32.3, 29.3, 2.89, 2.80
Whole numbers:
- 32.7 → 32
- 32.3 → 32 → compare tenths: 7 > 3 → 32.7 > 32.3
- 29.3 → 29
- 28.8 → 28
- 2.89 → 2
- 2.80 → 2 → compare hundredths: 9 > 0 → 2.89 > 2.80
Order (largest to smallest):
32.7, 32.3, 29.3, 28.8, 2.89, 2.80
✔ Checked — correct.
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Final Answer:
a) Smallest to largest: 0.96, 3.17, 6.34, 7.86, 9.14, 21.27
b) Smallest to largest: 3.39, 7.09, 7.19, 8.65, 8.70, 37.9
c) Smallest to largest: 3.39, 3.45, 6.17, 7.79, 29.7, 94.9
d) Smallest to largest: 1.29, 1.68, 2.42, 2.48, 2.91, 3.31
e) Smallest to largest: 0.51, 0.87, 1.37, 1.93, 2.51, 2.58
Largest to smallest:
a) 1.69, 1.57, 1.48, 0.93, 0.63, 0.59
b) 32.7, 32.3, 29.3, 28.8, 2.89, 2.80
Parent Tip: Review the logic above to help your child master the concept of free printable decimal worksheet.
