Let's solve the problem step by step.
The task is to
order 3-digit numbers from
smallest to largest, starting with the smallest. We’ll go through each row one by one.
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Row 1:
Numbers:
396, 277, 369, 727, 693, 772
Let’s compare them:
- Start with the hundreds digit:
- 277 → 2 (smallest)
- 369 → 3
- 396 → 3
- 693 → 6
- 727 → 7
- 772 → 7
Now order by hundreds digit:
- 277 (2)
- 369 and 396 (both 3s) → compare tens:
- 369 → 6 tens
- 396 → 9 tens → so 369 < 396
- Then 693 (6)
- Then 727 and 772 (both 7s): 727 vs 772 → 727 < 772
So ordered:
277, 369, 396, 693, 727, 772
---
Row 2:
Numbers:
205, 214, 277, 209, 240, 210
All start with 2 → look at tens digit:
- 205 → 0 tens
- 209 → 0 tens → compare units: 5 < 9 → 205 < 209
- 210 → 1 ten
- 214 → 1 ten → 10 < 14 → 210 < 214
- 240 → 4 tens
- 277 → 7 tens
Ordering:
- 205, 209 (both 20x)
- 210, 214 (both 21x)
- 240
- 277
So:
205, 209, 210, 214, 240, 277
---
Row 3:
Numbers:
444, 404, 440, 414, 441, 144
Hundreds digits:
- 144 → 1 (smallest)
- Others are all 4s
So 144 is first.
Now the rest (all 4xx):
- 404 → 0 tens
- 414 → 1 ten
- 440 → 4 tens
- 441 → 4 tens
- 444 → 4 tens
Compare:
- 404 (0 tens)
- 414 (1 ten)
- 440, 441, 444 → same tens digit (4), so compare units:
- 440 → 0
- 441 → 1
- 444 → 4
So: 440 < 441 < 444
Full order:
144, 404, 414, 440, 441, 444
---
Row 4:
Numbers:
678, 786, 867, 876, 687, 768
Hundreds digits:
- 678 → 6
- 687 → 6
- 768 → 7
- 786 → 7
- 867 → 8
- 876 → 8
Group by hundreds:
- 600s: 678, 687 → compare tens:
- 678 → 7 tens
- 687 → 8 tens → so 678 < 687
- 700s: 768, 786 → tens:
- 768 → 6 tens
- 786 → 8 tens → 768 < 786
- 800s: 867, 876 → tens:
- 867 → 6 tens
- 876 → 7 tens → 867 < 876
So full order:
678, 687, 768, 786, 867, 876
---
Row 5:
Numbers:
523, 235, 532, 325, 253, 352
Hundreds digits:
- 235 → 2
- 253 → 2
- 325 → 3
- 352 → 3
- 523 → 5
- 532 → 5
Group:
- 200s: 235, 253 → tens:
- 235 → 3 tens
- 253 → 5 tens → 235 < 253
- 300s: 325, 352 → tens:
- 325 → 2 tens
- 352 → 5 tens → 325 < 352
- 500s: 523, 532 → tens:
- 523 → 2 tens
- 532 → 3 tens → 523 < 532
So order:
235, 253, 325, 352, 523, 532
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✔ Final Answer:
1. 277, 369, 396, 693, 727, 772
2. 205, 209, 210, 214, 240, 277
3. 144, 404, 414, 440, 441, 444
4. 678, 687, 768, 786, 867, 876
5. 235, 253, 325, 352, 523, 532
You can now fill these in on the worksheet!
Parent Tip: Review the logic above to help your child master the concept of ordering numbers ks1 worksheet.