Greater Than Less Than Worksheets - Math-Aids.Com - Free Printable

Problem Analysis:

The task involves ordering whole numbers in two different ways:
1. From greatest to least.
2. From least to greatest.

We will solve each part step by step.

---

Part 1: Ordering from Greatest to Least

#### Numbers:
- 674,509
- 183,242
- 706,165
- 841,705

#### Steps:
1. Compare the numbers digit by digit starting from the highest place value (thousands).
2. Identify the largest number first, then the second largest, and so on.

#### Comparison:
- 841,705: Largest number (highest thousands place).
- 706,165: Second largest.
- 674,509: Third largest.
- 183,242: Smallest.

#### Ordered List (Greatest to Least):
1. 841,705
2. 706,165
3. 674,509
4. 183,242

---

Part 2: Ordering from Greatest to Least

#### Numbers:
- 818,239
- 874,391
- 830,076
- 343,443

#### Steps:
1. Compare the numbers digit by digit starting from the highest place value.
2. Identify the largest number first, then the second largest, and so on.

#### Comparison:
- 874,391: Largest number (highest thousands place).
- 830,076: Second largest.
- 818,239: Third largest.
- 343,443: Smallest.

#### Ordered List (Greatest to Least):
1. 874,391
2. 830,076
3. 818,239
4. 343,443

---

Part 3: Ordering from Least to Greatest

#### Numbers:
- 805,663
- 907,965
- 226,749
- 991,320

#### Steps:
1. Compare the numbers digit by digit starting from the highest place value.
2. Identify the smallest number first, then the second smallest, and so on.

#### Comparison:
- 226,749: Smallest number (lowest thousands place).
- 805,663: Second smallest.
- 907,965: Third smallest.
- 991,320: Largest.

#### Ordered List (Least to Greatest):
1. 226,749
2. 805,663
3. 907,965
4. 991,320

---

Part 4: Ordering from Least to Greatest

#### Numbers:
- 251,073
- 413,139
- 559,442
- 261,569

#### Steps:
1. Compare the numbers digit by digit starting from the highest place value.
2. Identify the smallest number first, then the second smallest, and so on.

#### Comparison:
- 251,073: Smallest number (lowest thousands place).
- 261,569: Second smallest.
- 413,139: Third smallest.
- 559,442: Largest.

#### Ordered List (Least to Greatest):
1. 251,073
2. 261,569
3. 413,139
4. 559,442

---

Final Answers:

1. Greatest to Least:
\[
\boxed{841,705, 706,165, 674,509, 183,242}
\]

2. Greatest to Least:
\[
\boxed{874,391, 830,076, 818,239, 343,443}
\]

3. Least to Greatest:
\[
\boxed{226,749, 805,663, 907,965, 991,320}
\]

4. Least to Greatest:
\[
\boxed{251,073, 261,569, 413,139, 559,442}
\]