Ordering Large Numbers 5th Grade - Free Printable

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.

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A) 5262514, 1726327, 2736171, 728381

- First, compare the number of digits:
- All are 7-digit numbers except 728381, which is a 6-digit number → so it’s the smallest.
- Now compare the 7-digit numbers:
- 1726327
- 2736171
- 5262514

Compare first digits:
- 1 < 2 < 5 → So: 1726327 < 2736171 < 5262514

Order:
Smallest → Largest:
728381, 1726327, 2736171, 5262514

✔ Answer A:
728381, 1726327, 2736171, 5262514

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B) 526154, 2737186, 72985, 1527371

- Check digits:
- 526154 → 6 digits
- 2737186 → 7 digits
- 72985 → 5 digits → smallest
- 1527371 → 7 digits

So, 72985 is smallest (5 digits)

Now compare:
- 526154 (6 digits)
- 2737186 (7 digits)
- 1527371 (7 digits)

→ 526154 is smaller than both 7-digit numbers.

Now compare two 7-digit numbers:
- 1527371 vs 2737186
- First digit: 1 < 2 → 1527371 < 2737186

Order:
72985, 526154, 1527371, 2737186

✔ Answer B:
72985, 526154, 1527371, 2737186

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C) 812746, 1028472, 673281, 1625163

All are 6 or 7 digits:
- 812746 → 6 digits
- 1028472 → 7 digits
- 673281 → 6 digits
- 1625163 → 7 digits

So 6-digit numbers: 812746 and 673281 → compare:
- 673281 < 812746 (since 6 < 8)

7-digit numbers:
- 1028472 vs 1625163
- First digit: 1 = 1 → look at second digit: 0 < 6 → 1028472 < 1625163

Now combine:
- Smallest: 673281 (6-digit)
- Then: 812746 (6-digit)
- Then: 1028472 (7-digit)
- Then: 1625163 (7-digit)

✔ Answer C:
673281, 812746, 1028472, 1625163

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D) 2637189, 6261638, 472716, 3720928

Check digits:
- 2637189 → 7 digits
- 6261638 → 7 digits
- 472716 → 6 digits → smallest
- 3720928 → 7 digits

So 472716 is smallest.

Now compare 7-digit numbers:
- 2637189
- 3720928
- 6261638

First digits: 2, 3, 6 → so:
2637189 < 3720928 < 6261638

Final order:
472716, 2637189, 3720928, 6261638

✔ Answer D:
472716, 2637189, 3720928, 6261638

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E) 829417, 2039813, 1643728, 683921, 98726

Digits:
- 829417 → 6 digits
- 2039813 → 7 digits
- 1643728 → 7 digits
- 683921 → 6 digits
- 98726 → 5 digits → smallest

So smallest: 98726

Now 6-digit numbers: 829417 and 683921
- 683921 < 829417 (6 < 8)

Then 7-digit numbers: 2039813 and 1643728
- First digit: 1 vs 2 → 1643728 < 2039813

So full order:
98726, 683921, 829417, 1643728, 2039813

✔ Answer E:
98726, 683921, 829417, 1643728, 2039813

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F) 4536201, 2738165, 402716, 1673827, 893762

Digits:
- 4536201 → 7 digits
- 2738165 → 7 digits
- 402716 → 6 digits
- 1673827 → 7 digits
- 893762 → 6 digits

So 6-digit numbers: 402716 and 893762
- Compare: 402716 < 893762 (4 < 8)

7-digit numbers:
- 2738165
- 4536201
- 1673827

First digits: 1, 2, 4 → so:
1673827 < 2738165 < 4536201

Now combine:
402716, 893762, 1673827, 2738165, 4536201

✔ Answer F:
402716, 893762, 1673827, 2738165, 4536201

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G) 764271, 89372, 3038374, 563728, 1263517

Digits:
- 764271 → 6 digits
- 89372 → 5 digits → smallest
- 3038374 → 7 digits
- 563728 → 6 digits
- 1263517 → 7 digits

So smallest: 89372

6-digit numbers: 764271 and 563728
- 563728 < 764271 (5 < 7)

7-digit numbers: 3038374 and 1263517
- First digits: 1 vs 3 → 1263517 < 3038374

Full order:
89372, 563728, 764271, 1263517, 3038374

✔ Answer G:
89372, 563728, 764271, 1263517, 3038374

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H) 3782106, 3172638, 3827614, 3037261, 384737

Digits:
- 3782106 → 7 digits
- 3172638 → 7 digits
- 3827614 → 7 digits
- 3037261 → 7 digits
- 384737 → 6 digits → smallest

So smallest: 384737

Now 7-digit numbers: all start with 3 → need to compare further.

List them:
- 3037261
- 3172638
- 3782106
- 3827614

Compare second digit:
- 0 → 3037261
- 1 → 3172638
- 7 → 3782106
- 8 → 3827614

So:
3037261 < 3172638 < 3782106 < 3827614

Final order:
384737, 3037261, 3172638, 3782106, 3827614

✔ Answer H:
384737, 3037261, 3172638, 3782106, 3827614

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✔ Final Answers:

A) 728381, 1726327, 2736171, 5262514
B) 72985, 526154, 1527371, 2737186
C) 673281, 812746, 1028472, 1625163
D) 472716, 2637189, 3720928, 6261638
E) 98726, 683921, 829417, 1643728, 2039813
F) 402716, 893762, 1673827, 2738165, 4536201
G) 89372, 563728, 764271, 1263517, 3038374
H) 384737, 3037261, 3172638, 3782106, 3827614

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🔍 Explanation Summary:

To order numbers:
1. Count digits – fewer digits = smaller number.
2. If same number of digits, compare digit by digit from left to right.
3. The first differing digit determines the order.

This method ensures accurate ordering even for large numbers.