Let's solve the problem step by step.
The task is to
order each set of 5-digit numbers from smallest to largest. We will go through each row and compare the numbers digit by digit, starting from the leftmost digit (the ten-thousands place), then moving to the thousands, hundreds, tens, and units places.
---
1. 27 001, 27 101, 27 010, 27 110, 27 011
All start with
27, so we look at the next digits:
- 27 001 → 001
- 27 010 → 010
- 27 011 → 011
- 27 101 → 101
- 27 110 → 110
Ordering these:
- 001 < 010 < 011 < 101 < 110
So:
27 001, 27 010, 27 011, 27 101, 27 110
---
2. 86 130, 86 031, 86 103, 86 013, 86 310
All start with
86, so compare the next digits:
- 86 013 → 013
- 86 031 → 031
- 86 103 → 103
- 86 130 → 130
- 86 310 → 310
Order:
013 < 031 < 103 < 130 < 310
So:
86 013, 86 031, 86 103, 86 130, 86 310
---
3. 17 750, 17 075, 17 057, 17 570, 17 705
All start with
17, so look at the next digits:
- 17 057 → 057
- 17 075 → 075
- 17 570 → 570
- 17 705 → 705
- 17 750 → 750
Order:
057 < 075 < 570 < 705 < 750
So:
17 057, 17 075, 17 570, 17 705, 17 750
---
4. 44 236, 44 362, 44 623, 44 263, 44 326
All start with
44, so compare the next digits:
- 44 236 → 236
- 44 263 → 263
- 44 326 → 326
- 44 362 → 362
- 44 623 → 623
Order:
236 < 263 < 326 < 362 < 623
So:
44 236, 44 263, 44 326, 44 362, 44 623
---
5. 56 014, 56 104, 56 140, 56 041, 56 401
All start with
56, so look at the next digits:
- 56 014 → 014
- 56 041 → 041
- 56 104 → 104
- 56 140 → 140
- 56 401 → 401
Order:
014 < 041 < 104 < 140 < 401
So:
56 014, 56 041, 56 104, 56 140, 56 401
---
6. 75 890, 75 908, 75 089, 75 809, 75 098
All start with
75, so compare the next digits:
- 75 089 → 089
- 75 098 → 098
- 75 809 → 809
- 75 890 → 890
- 75 908 → 908
Order:
089 < 098 < 809 < 890 < 908
So:
75 089, 75 098, 75 809, 75 890, 75 908
---
7. 23 456, 23 654, 23 465, 23 564, 23 645
All start with
23, so look at the next digits:
- 23 456 → 456
- 23 465 → 465
- 23 564 → 564
- 23 645 → 645
- 23 654 → 654
Order:
456 < 465 < 564 < 645 < 654
So:
23 456, 23 465, 23 564, 23 645, 23 654
---
8. 38 354, 38 435, 38 534, 38 345, 38 453
All start with
38, so compare:
- 38 345 → 345
- 38 354 → 354
- 38 435 → 435
- 38 453 → 453
- 38 534 → 534
Order:
345 < 354 < 435 < 453 < 534
So:
38 345, 38 354, 38 435, 38 453, 38 534
---
9. 61 730, 61 037, 61 073, 61 307, 61 703
All start with
61, so compare:
- 61 037 → 037
- 61 073 → 073
- 61 307 → 307
- 61 703 → 703
- 61 730 → 730
Order:
037 < 073 < 307 < 703 < 730
So:
61 037, 61 073, 61 307, 61 703, 61 730
---
✔ Final Answers:
1.
27 001, 27 010, 27 011, 27 101, 27 110
2.
86 013, 86 031, 86 103, 86 130, 86 310
3.
17 057, 17 075, 17 570, 17 705, 17 750
4.
44 236, 44 263, 44 326, 44 362, 44 623
5.
56 014, 56 041, 56 104, 56 140, 56 401
6.
75 089, 75 098, 75 809, 75 890, 75 908
7.
23 456, 23 465, 23 564, 23 645, 23 654
8.
38 345, 38 354, 38 435, 38 453, 38 534
9.
61 037, 61 073, 61 307, 61 703, 61 730
You can now fill in the dotted lines accordingly!
Parent Tip: Review the logic above to help your child master the concept of ordering 5 digit numbers worksheet.