Math worksheet for ordering seven-digit numbers from smallest to largest.

To order numbers from smallest to largest, we first look at how many digits each number has. Numbers with fewer digits are always smaller than numbers with more digits.

* 5-digit numbers are the smallest.
* 6-digit numbers come next.
* 7-digit numbers are the largest.

If two numbers have the same number of digits, we compare them starting from the left (the millions or hundred-thousands place) and move to the right until we find a difference. The number with the smaller digit in that place is the smaller number.

Here is the step-by-step sorting for each list:

A)
* Numbers: 5262514 (7 digits), 1726327 (7 digits), 2736171 (7 digits), 728381 (6 digits).
* Smallest is the 6-digit number: 728381.
* Comparing the 7-digit numbers: 1 million < 2 million < 5 million.
* Order: 1726327, 2736171, 5262514.
* Result: 728381, 1726327, 2736171, 5262514

B)
* Numbers: 526154 (6 digits), 2737186 (7 digits), 72985 (5 digits), 1527371 (7 digits).
* Smallest is the 5-digit number: 72985.
* Next is the 6-digit number: 526154.
* Comparing the 7-digit numbers: 1 million < 2 million.
* Order: 1527371, 2737186.
* Result: 72985, 526154, 1527371, 2737186

C)
* Numbers: 812746 (6 digits), 1028472 (7 digits), 673281 (6 digits), 1625163 (7 digits).
* Compare 6-digit numbers: 673,281 < 812,746.
* Compare 7-digit numbers: 1,028,472 < 1,625,163.
* Result: 673281, 812746, 1028472, 1625163

D)
* Numbers: 2637189 (7 digits), 6261638 (7 digits), 472716 (6 digits), 3720928 (7 digits).
* Smallest is the 6-digit number: 472716.
* Comparing the 7-digit numbers by their first digit: 2 < 3 < 6.
* Order: 2637189, 3720928, 6261638.
* Result: 472716, 2637189, 3720928, 6261638

E)
* Numbers: 829417 (6 digits), 2039813 (7 digits), 1643728 (7 digits), 683921 (6 digits), 98726 (5 digits).
* Smallest is the 5-digit number: 98726.
* Compare 6-digit numbers: 683,921 < 829,417.
* Compare 7-digit numbers: 1,643,728 < 2,039,813.
* Result: 98726, 683921, 829417, 1643728, 2039813

F)
* Numbers: 4536201 (7 digits), 2738165 (7 digits), 402716 (6 digits), 1673827 (7 digits), 893762 (6 digits).
* Compare 6-digit numbers: 402,716 < 893,762.
* Compare 7-digit numbers by first digit: 1 < 2 < 4.
* Order: 1673827, 2738165, 4536201.
* Result: 402716, 893762, 1673827, 2738165, 4536201

G)
* Numbers: 764271 (6 digits), 89372 (5 digits), 3038374 (7 digits), 563728 (6 digits), 1263517 (7 digits).
* Smallest is the 5-digit number: 89372.
* Compare 6-digit numbers: 563,728 < 764,271.
* Compare 7-digit numbers: 1,263,517 < 3,038,374.
* Result: 89372, 563728, 764271, 1263517, 3038374

H)
* Numbers: 3782106 (7 digits), 3172638 (7 digits), 3827614 (7 digits), 3037261 (7 digits), 384737 (6 digits).
* Smallest is the 6-digit number: 384737.
* All others are 7-digit numbers starting with 3. We look at the second digit (hundred-thousands):
* 3037261 (0 is smallest)
* 3172638 (1 is next)
* 3782106 (7 is next)
* 38... (We have two starting with 38. Look at the third digit: 3827614 vs 384737. 2 is smaller than 4.)
* Order: 3037261, 3172638, 3782106, 3827614, 384737. Wait, I put the 6-digit one first. Let's re-list carefully.
1. 384737 (6 digits)
2. 3037261 (starts with 30...)
3. 3172638 (starts with 31...)
4. 3782106 (starts with 37...)
5. 3827614 (starts with 382...)
6. 384737 is already listed. The last 7-digit number is 384737? No, the input was 384737 (6 digits) and 3827614. Let me re-read H inputs.
Inputs: 3782106, 3172638, 3827614, 3037261, 384737.
Sorted:
1. 384737 (Smallest, 6 digits)
2. 3037261
3. 3172638
4. 3782106
5. 3827614
* Result: 384737, 3037261, 3172638, 3782106, 3827614

Final Answer:
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