Ordering Large Numbers 5th Grade - Free Printable
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Step-by-step solution for: Ordering Large Numbers 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Ordering Large Numbers 5th Grade
Let's solve each part of the worksheet by ordering the numbers from smallest to largest. We'll go through each section step-by-step.
---
Numbers:
5262514, 1726327, 2736171, 728381
- First, compare the number of digits:
- All are 7-digit numbers except 728381, which is 6-digit → so it’s the smallest.
- Now compare the 7-digit numbers:
- 1726327
- 2736171
- 5262514
Compare first digits:
- 1 < 2 < 5 → So order: 1726327 < 2736171 < 5262514
Final order:
728381 (smallest) → 1726327 → 2736171 → 5262514 (largest)
✔ A)
Smallest: 728381
→ 1726327
→ 2736171
→ 5262514 (largest)
---
Numbers:
526154, 2737186, 72985, 1527371
- Check digits:
- 526154 → 6-digit
- 2737186 → 7-digit
- 72985 → 5-digit
- 1527371 → 7-digit
So smallest digit count: 72985 (5-digit) → smallest
Then: 526154 (6-digit)
Then compare 7-digit numbers: 2737186 and 1527371
Compare first digits:
- 1 < 2 → 1527371 < 2737186
So full order:
72985 < 526154 < 1527371 < 2737186
✔ B)
Smallest: 72985
→ 526154
→ 1527371
→ 2737186 (largest)
---
Numbers:
812746, 1028472, 673281, 1625163
All are 6 or 7-digit numbers:
- 812746 → 6-digit
- 1028472 → 7-digit
- 673281 → 6-digit
- 1625163 → 7-digit
So 6-digit numbers: 812746, 673281 → compare:
- 673281 < 812746
7-digit numbers: 1028472, 1625163 → compare first digits:
- 1 vs 1 → same → look at next digit:
- 0 vs 6 → 0 < 6 → so 1028472 < 1625163
Now combine:
6-digit: 673281 < 812746
7-digit: 1028472 < 1625163
But 6-digit numbers are smaller than 7-digit ones, so:
673281 < 812746 < 1028472 < 1625163
✔ C)
Smallest: 673281
→ 812746
→ 1028472
→ 1625163 (largest)
---
Numbers:
2637189, 6261638, 472716, 3720928
Check digits:
- 2637189 → 7-digit
- 6261638 → 7-digit
- 472716 → 6-digit
- 3720928 → 7-digit
So 472716 is smallest (6-digit)
Now 7-digit numbers: 2637189, 6261638, 3720928
Compare first digits:
- 2 < 3 < 6 → so:
- 2637189 < 3720928 < 6261638
Full order:
472716 < 2637189 < 3720928 < 6261638
✔ D)
Smallest: 472716
→ 2637189
→ 3720928
→ 6261638 (largest)
---
Numbers:
829417, 2039813, 1643728, 683921, 98726
Digits:
- 829417 → 6-digit
- 2039813 → 7-digit
- 1643728 → 7-digit
- 683921 → 6-digit
- 98726 → 5-digit → smallest
So start with 98726
Now 6-digit: 829417, 683921 → compare:
- 683921 < 829417
7-digit: 2039813, 1643728 → first digits:
- 1 < 2 → 1643728 < 2039813
So full order:
98726 < 683921 < 829417 < 1643728 < 2039813
✔ E)
Smallest: 98726
→ 683921
→ 829417
→ 1643728
→ 2039813 (largest)
---
Numbers:
4536201, 2738165, 402716, 1673827, 893762
Digits:
- 4536201 → 7-digit
- 2738165 → 7-digit
- 402716 → 6-digit
- 1673827 → 7-digit
- 893762 → 6-digit
So 6-digit: 402716, 893762 → compare:
- 402716 < 893762
7-digit: 4536201, 2738165, 1673827
First digits:
- 1 < 2 < 4 → so:
- 1673827 < 2738165 < 4536201
Now combine:
6-digit: 402716 < 893762
7-digit: 1673827 < 2738165 < 4536201
But 6-digit < 7-digit → so:
402716 < 893762 < 1673827 < 2738165 < 4536201
✔ F)
Smallest: 402716
→ 893762
→ 1673827
→ 2738165
→ 4536201 (largest)
---
Numbers:
764271, 89372, 3038374, 563728, 1263517
Digits:
- 764271 → 6-digit
- 89372 → 5-digit
- 3038374 → 7-digit
- 563728 → 6-digit
- 1263517 → 7-digit
So smallest: 89372 (5-digit)
6-digit: 764271, 563728 → compare:
- 563728 < 764271
7-digit: 3038374, 1263517 → first digits:
- 1 < 3 → 1263517 < 3038374
Now full order:
89372 < 563728 < 764271 < 1263517 < 3038374
✔ G)
Smallest: 89372
→ 563728
→ 764271
→ 1263517
→ 3038374 (largest)
---
Numbers:
3782106, 3172638, 3827614, 3037261, 384737
Digits:
- 3782106 → 7-digit
- 3172638 → 7-digit
- 3827614 → 7-digit
- 3037261 → 7-digit
- 384737 → 6-digit → smallest
So 384737 is smallest
Now 7-digit numbers: all start with 3 → need to compare further.
List them:
- 3037261
- 3172638
- 3782106
- 3827614
Compare second digits:
- 0, 1, 7, 8 → so:
- 3037261 (second digit 0)
- 3172638 (second digit 1)
- 3782106 (second digit 7)
- 3827614 (second digit 8)
So order:
3037261 < 3172638 < 3782106 < 3827614
Now include 384737 (6-digit) → goes before all 7-digit numbers
Final order:
384737 < 3037261 < 3172638 < 3782106 < 3827614
✔ H)
Smallest: 384737
→ 3037261
→ 3172638
→ 3782106
→ 3827614 (largest)
---
A)
Smallest: 728381
→ 1726327
→ 2736171
→ 5262514 (largest)
B)
Smallest: 72985
→ 526154
→ 1527371
→ 2737186 (largest)
C)
Smallest: 673281
→ 812746
→ 1028472
→ 1625163 (largest)
D)
Smallest: 472716
→ 2637189
→ 3720928
→ 6261638 (largest)
E)
Smallest: 98726
→ 683921
→ 829417
→ 1643728
→ 2039813 (largest)
F)
Smallest: 402716
→ 893762
→ 1673827
→ 2738165
→ 4536201 (largest)
G)
Smallest: 89372
→ 563728
→ 764271
→ 1263517
→ 3038374 (largest)
H)
Smallest: 384737
→ 3037261
→ 3172638
→ 3782106
→ 3827614 (largest)
---
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---
A)
Numbers:
5262514, 1726327, 2736171, 728381
- First, compare the number of digits:
- All are 7-digit numbers except 728381, which is 6-digit → so it’s the smallest.
- Now compare the 7-digit numbers:
- 1726327
- 2736171
- 5262514
Compare first digits:
- 1 < 2 < 5 → So order: 1726327 < 2736171 < 5262514
Final order:
728381 (smallest) → 1726327 → 2736171 → 5262514 (largest)
✔ A)
Smallest: 728381
→ 1726327
→ 2736171
→ 5262514 (largest)
---
B)
Numbers:
526154, 2737186, 72985, 1527371
- Check digits:
- 526154 → 6-digit
- 2737186 → 7-digit
- 72985 → 5-digit
- 1527371 → 7-digit
So smallest digit count: 72985 (5-digit) → smallest
Then: 526154 (6-digit)
Then compare 7-digit numbers: 2737186 and 1527371
Compare first digits:
- 1 < 2 → 1527371 < 2737186
So full order:
72985 < 526154 < 1527371 < 2737186
✔ B)
Smallest: 72985
→ 526154
→ 1527371
→ 2737186 (largest)
---
C)
Numbers:
812746, 1028472, 673281, 1625163
All are 6 or 7-digit numbers:
- 812746 → 6-digit
- 1028472 → 7-digit
- 673281 → 6-digit
- 1625163 → 7-digit
So 6-digit numbers: 812746, 673281 → compare:
- 673281 < 812746
7-digit numbers: 1028472, 1625163 → compare first digits:
- 1 vs 1 → same → look at next digit:
- 0 vs 6 → 0 < 6 → so 1028472 < 1625163
Now combine:
6-digit: 673281 < 812746
7-digit: 1028472 < 1625163
But 6-digit numbers are smaller than 7-digit ones, so:
673281 < 812746 < 1028472 < 1625163
✔ C)
Smallest: 673281
→ 812746
→ 1028472
→ 1625163 (largest)
---
D)
Numbers:
2637189, 6261638, 472716, 3720928
Check digits:
- 2637189 → 7-digit
- 6261638 → 7-digit
- 472716 → 6-digit
- 3720928 → 7-digit
So 472716 is smallest (6-digit)
Now 7-digit numbers: 2637189, 6261638, 3720928
Compare first digits:
- 2 < 3 < 6 → so:
- 2637189 < 3720928 < 6261638
Full order:
472716 < 2637189 < 3720928 < 6261638
✔ D)
Smallest: 472716
→ 2637189
→ 3720928
→ 6261638 (largest)
---
E)
Numbers:
829417, 2039813, 1643728, 683921, 98726
Digits:
- 829417 → 6-digit
- 2039813 → 7-digit
- 1643728 → 7-digit
- 683921 → 6-digit
- 98726 → 5-digit → smallest
So start with 98726
Now 6-digit: 829417, 683921 → compare:
- 683921 < 829417
7-digit: 2039813, 1643728 → first digits:
- 1 < 2 → 1643728 < 2039813
So full order:
98726 < 683921 < 829417 < 1643728 < 2039813
✔ E)
Smallest: 98726
→ 683921
→ 829417
→ 1643728
→ 2039813 (largest)
---
F)
Numbers:
4536201, 2738165, 402716, 1673827, 893762
Digits:
- 4536201 → 7-digit
- 2738165 → 7-digit
- 402716 → 6-digit
- 1673827 → 7-digit
- 893762 → 6-digit
So 6-digit: 402716, 893762 → compare:
- 402716 < 893762
7-digit: 4536201, 2738165, 1673827
First digits:
- 1 < 2 < 4 → so:
- 1673827 < 2738165 < 4536201
Now combine:
6-digit: 402716 < 893762
7-digit: 1673827 < 2738165 < 4536201
But 6-digit < 7-digit → so:
402716 < 893762 < 1673827 < 2738165 < 4536201
✔ F)
Smallest: 402716
→ 893762
→ 1673827
→ 2738165
→ 4536201 (largest)
---
G)
Numbers:
764271, 89372, 3038374, 563728, 1263517
Digits:
- 764271 → 6-digit
- 89372 → 5-digit
- 3038374 → 7-digit
- 563728 → 6-digit
- 1263517 → 7-digit
So smallest: 89372 (5-digit)
6-digit: 764271, 563728 → compare:
- 563728 < 764271
7-digit: 3038374, 1263517 → first digits:
- 1 < 3 → 1263517 < 3038374
Now full order:
89372 < 563728 < 764271 < 1263517 < 3038374
✔ G)
Smallest: 89372
→ 563728
→ 764271
→ 1263517
→ 3038374 (largest)
---
H)
Numbers:
3782106, 3172638, 3827614, 3037261, 384737
Digits:
- 3782106 → 7-digit
- 3172638 → 7-digit
- 3827614 → 7-digit
- 3037261 → 7-digit
- 384737 → 6-digit → smallest
So 384737 is smallest
Now 7-digit numbers: all start with 3 → need to compare further.
List them:
- 3037261
- 3172638
- 3782106
- 3827614
Compare second digits:
- 0, 1, 7, 8 → so:
- 3037261 (second digit 0)
- 3172638 (second digit 1)
- 3782106 (second digit 7)
- 3827614 (second digit 8)
So order:
3037261 < 3172638 < 3782106 < 3827614
Now include 384737 (6-digit) → goes before all 7-digit numbers
Final order:
384737 < 3037261 < 3172638 < 3782106 < 3827614
✔ H)
Smallest: 384737
→ 3037261
→ 3172638
→ 3782106
→ 3827614 (largest)
---
✔ Final Answers:
A)
Smallest: 728381
→ 1726327
→ 2736171
→ 5262514 (largest)
B)
Smallest: 72985
→ 526154
→ 1527371
→ 2737186 (largest)
C)
Smallest: 673281
→ 812746
→ 1028472
→ 1625163 (largest)
D)
Smallest: 472716
→ 2637189
→ 3720928
→ 6261638 (largest)
E)
Smallest: 98726
→ 683921
→ 829417
→ 1643728
→ 2039813 (largest)
F)
Smallest: 402716
→ 893762
→ 1673827
→ 2738165
→ 4536201 (largest)
G)
Smallest: 89372
→ 563728
→ 764271
→ 1263517
→ 3038374 (largest)
H)
Smallest: 384737
→ 3037261
→ 3172638
→ 3782106
→ 3827614 (largest)
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet 5th grade.