Explanation:
We need to arrange two sets of decimal numbers:
1. In
ascending order (smallest to largest)
2. In
descending order (largest to smallest)
Let’s do each part carefully.
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Part 1: Ascending Order
List of decimals:
- 0.04, 2.05, 0.007, 1.43, 1.478
- 3.056, 0.563, 1.095, 2.6, 1.203
- 6.03, 20.67, 2.045, 0.576, 1.009
Step 1: Compare whole number parts first.
Numbers with whole part = 0:
→ 0.007, 0.04, 0.563, 0.576
(Compare tenths/hundredths/thousandths)
Let’s sort all numbers by converting to same decimal places or comparing digit by digit.
Better approach: Write them with 3 decimal places for easier comparison:
- 0.007 → 0.007
- 0.040 → 0.040
- 0.563 → 0.563
- 0.576 → 0.576
- 1.009 → 1.009
- 1.095 → 1.095
- 1.203 → 1.203
- 1.430 → 1.430
- 1.478 → 1.478
- 2.045 → 2.045
- 2.050 → 2.050
- 2.600 → 2.600
- 3.056 → 3.056
- 6.030 → 6.030
- 20.670 → 20.670
Now sort from smallest to largest:
1. 0.007
2. 0.040
3. 0.563
4. 0.576
5. 1.009
6. 1.095
7. 1.203
8. 1.430
9. 1.478
10. 2.045
11. 2.050
12. 2.600
13. 3.056
14. 6.030
15. 20.670
So ascending order is:
0.007, 0.04, 0.563, 0.576, 1.009, 1.095, 1.203, 1.43, 1.478, 2.045, 2.05, 2.6, 3.056, 6.03, 20.67
Double-check:
- 0.007 < 0.04 ✔
- 0.563 < 0.576 ✔
- 1.009 < 1.095 < 1.203 < 1.43 < 1.478 ✔
- 2.045 < 2.05 < 2.6 ✔
- 3.056 < 6.03 < 20.67 ✔
✔ Good.
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Part 2: Descending Order
Same numbers, but now largest to smallest:
From above sorted list, reverse it:
1. 20.67
2. 6.03
3. 3.056
4. 2.6
5. 2.05
6. 2.045
7. 1.478
8. 1.43
9. 1.203
10. 1.095
11. 1.009
12. 0.576
13. 0.563
14. 0.04
15. 0.007
Check a few:
- 20.67 > 6.03 > 3.056 ✔
- 2.6 > 2.05 > 2.045 ✔
- 1.478 > 1.43 > 1.203 > 1.095 > 1.009 ✔
- 0.576 > 0.563 > 0.04 > 0.007 ✔
✔ Correct.
Now format the final answer as two rows (ascending, then descending), matching the worksheet layout (5 numbers per row, 3 rows each).
Ascending (3 rows × 5):
Row 1: 0.007, 0.04, 0.563, 0.576, 1.009
Row 2: 1.095, 1.203, 1.43, 1.478, 2.045
Row 3: 2.05, 2.6, 3.056, 6.03, 20.67
Descending:
Row 1: 20.67, 6.03, 3.056, 2.6, 2.05
Row 2: 2.045, 1.478, 1.43, 1.203, 1.095
Row 3: 1.009, 0.576, 0.563, 0.04, 0.007
Wait — check row 2 descending: after 2.045 should come 1.478, yes. Then 1.43, 1.203, 1.095 — correct.
Row 3: 1.009, then 0.576, 0.563, 0.04, 0.007 — correct.
Final Answer:
Ascending:
0.007, 0.04, 0.563, 0.576, 1.009
1.095, 1.203, 1.43, 1.478, 2.045
2.05, 2.6, 3.056, 6.03, 20.67
Descending:
20.67, 6.03, 3.056, 2.6, 2.05
2.045, 1.478, 1.43, 1.203, 1.095
1.009, 0.576, 0.563, 0.04, 0.007
Parent Tip: Review the logic above to help your child master the concept of grade 4 math worksheet.