Let's solve the problem step by step.
We are asked to
order 3-digit numbers from smallest to largest for each set.
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1. Numbers: 396, 277, 369, 727, 693, 772
Let’s compare them:
- Hundreds digits:
- 277 → 2
- 369 → 3
- 396 → 3
- 693 → 6
- 727 → 7
- 772 → 7
Start with the smallest hundreds digit:
- 277 (smallest)
- Then 369 and 396 → compare tens: 6 < 9 → so 369 < 396
- Then 693
- Then 727 and 772 → 2 < 7 → so 727 < 772
✔ Order:
277, 369, 396, 693, 727, 772
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2. Numbers: 205, 214, 277, 209, 240, 210
All start with 2 → look at tens digit:
- 205 → 0
- 209 → 0
- 210 → 1
- 214 → 1
- 240 → 4
- 277 → 7
Group by tens:
- 205, 209 → compare units: 5 < 9 → 205 < 209
- 210, 214 → 0 < 4 → 210 < 214
- 240
- 277
✔ Order:
205, 209, 210, 214, 240, 277
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3. Numbers: 444, 404, 440, 414, 441, 144
Look at hundreds digit:
- 144 → 1 → smallest
- Others: 4xx → all same hundreds
So 144 is first.
Now order the 4xx numbers:
- 404 → tens = 0
- 414 → tens = 1
- 440 → tens = 4
- 441 → tens = 4 → but 0 < 1 < 4 → so:
- 404
- 414
- 440, 441 → now compare units: 0 < 1 → 440 < 441
- 444 → tens = 4, units = 4 → after 441
Wait — list:
- 404
- 414
- 440
- 441
- 444
And 144 is smallest.
✔ Order:
144, 404, 414, 440, 441, 444
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4. Numbers: 678, 786, 867, 876, 687, 768
Hundreds digits:
- 678 → 6
- 687 → 6
- 768 → 7
- 786 → 7
- 867 → 8
- 876 → 8
So group:
- 600s: 678, 687 → tens: 7 vs 8 → 678 < 687
- 700s: 768, 786 → tens: 6 vs 8 → 768 < 786
- 800s: 867, 876 → tens: 6 vs 7 → 867 < 876
✔ Order:
678, 687, 768, 786, 867, 876
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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: 3 vs 5 → 235 < 253
- 300s: 325, 352 → tens: 2 vs 5 → 325 < 352
- 500s: 523, 532 → tens: 2 vs 3 → 523 < 532
✔ Order:
235, 253, 325, 352, 523, 532
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✔ Final Answers:
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 write these in the blanks provided on the worksheet. Let me know if you'd like a printable version or explanation for any step!
Parent Tip: Review the logic above to help your child master the concept of ordering 3 digit numbers worksheet year 2.
