Let’s go step by step to solve each part of the worksheet.
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Part 1: Compare each pair of decimals using >, < or =
We compare decimals by looking at digits from left to right — start with the whole number part, then tenths, hundredths, etc.
1)
43.5 vs 43.12
→ Whole numbers are both 43 → look at tenths: 5 vs 1 → 5 > 1 → so
43.5 > 43.12
2)
18.49 vs 19.9
→ Whole numbers: 18 vs 19 → 18 < 19 → so
18.49 < 19.9
3)
21.75 vs 21.75
→ Exactly the same →
21.75 = 21.75
4)
4.63 vs 4.3
→ Whole numbers same (4) → tenths: 6 vs 3 → 6 > 3 →
4.63 > 4.3
5)
5.17 vs 5.4
→ Whole numbers same (5) → tenths: 1 vs 4 → 1 < 4 →
5.17 < 5.4
6)
10.35 vs 10.35
→ Same numbers →
10.35 = 10.35
7)
47.31 vs 39.73
→ Whole numbers: 47 vs 39 → 47 > 39 →
47.31 > 39.73
8)
25.6 vs 25.9
→ Whole numbers same (25) → tenths: 6 vs 9 → 6 < 9 →
25.6 < 25.9
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Part 2: Write in ascending order (smallest first)
a)
4.2, 4.6, 3.8
→ Smallest is 3.8, then 4.2, then 4.6 →
3.8, 4.2, 4.6
b)
0.2, 0.18, 0.02
→ Think of them as 0.20, 0.18, 0.02 → smallest is 0.02, then 0.18, then 0.20 →
0.02, 0.18, 0.2
c)
32.8, 20.8, 37.5, 28.7
→ Order by whole number: 20.8, 28.7, 32.8, 37.5 →
20.8, 28.7, 32.8, 37.5
d)
14.78, 46.1, 14.8, 32.32
→ First, group by whole number:
- 14s: 14.78 and 14.8 → 14.78 < 14.8 (since 78 < 80)
- Then 32.32
- Then 46.1
→ So:
14.78, 14.8, 32.32, 46.1
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Part 3: Write in descending order (largest first)
e)
27.7, 27.77, 18.1
→ Largest whole number is 27 → between 27.7 and 27.77:
27.7 = 27.70 → 27.77 > 27.70 → so 27.77 > 27.7
Then 18.1 is smallest
→ Descending:
27.77, 27.7, 18.1
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Final Answer:
1) 43.5 > 43.12
2) 18.49 < 19.9
3) 21.75 = 21.75
4) 4.63 > 4.3
5) 5.17 < 5.4
6) 10.35 = 10.35
7) 47.31 > 39.73
8) 25.6 < 25.9
a) 3.8, 4.2, 4.6
b) 0.02, 0.18, 0.2
c) 20.8, 28.7, 32.8, 37.5
d) 14.78, 14.8, 32.32, 46.1
e) 27.77, 27.7, 18.1
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet year 5.
