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

Let's solve each problem step by step. The task is to order whole numbers either from greatest to least or least to greatest, and fill in the place value chart accordingly.

---

Problem 1: Order from greatest to least

Numbers:
- 674,509
- 183,242
- 706,185
- 841,705

#### Step 1: Compare the numbers
We compare digits starting from the leftmost (highest place value) — the hundred thousands place.

| Number | Hundred Thousands |
|------------|-------------------|
| 674,509 | 6 |
| 183,242 | 1 |
| 706,185 | 7 |
| 841,705 | 8 |

So, order from greatest to least based on hundred thousands:
- 841,705 (8)
- 706,185 (7)
- 674,509 (6)
- 183,242 (1)

Now check if any are equal? No. So final order:

Greatest → Least:
1. 841,705
2. 706,185
3. 674,509
4. 183,242

Now fill in the place value chart:

```
Thousands Ones
Hund Tens Ones Hund Tens Ones
---------------------------
8 4 1 7 0 5 ← 841,705
7 0 6 1 8 5 ← 706,185
6 7 4 5 0 9 ← 674,509
1 8 3 2 4 2 ← 183,242
```

✔ Answer for #1:
- Greatest → 841,705
- Least → 183,242

---

Problem 2: Order from greatest to least

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

Compare the hundred thousands place:

| Number | Hundred Thousands |
|------------|-------------------|
| 818,239 | 8 |
| 874,391 | 8 |
| 830,076 | 8 |
| 343,443 | 3 |

So, 343,443 is smallest (only one with 3 in hundred thousands).

Now compare the three with 8:
- 818,239
- 874,391
- 830,076

Look at ten thousands place:
- 818,239 → 1
- 874,391 → 7
- 830,076 → 3

So order among these:
- 874,391 (7)
- 830,076 (3)
- 818,239 (1)

Now full order from greatest to least:
1. 874,391
2. 830,076
3. 818,239
4. 343,443

Fill in the chart:

```
Thousands Ones
Hund Tens Ones Hund Tens Ones
---------------------------
8 7 4 3 9 1 ← 874,391
8 3 0 0 7 6 ← 830,076
8 1 8 2 3 9 ← 818,239
3 4 3 4 4 3 ← 343,443
```

✔ Answer for #2:
- Greatest → 874,391
- Least → 343,443

---

Problem 3: Order from least to greatest

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

Compare hundred thousands place:

| Number | Hundred Thousands |
|------------|-------------------|
| 805,663 | 8 |
| 907,965 | 9 |
| 226,749 | 2 |
| 991,320 | 9 |

So:
- 226,749 → smallest (2)
- Then 805,663 (8)
- Then 907,965 and 991,320 (both 9)

Now compare 907,965 and 991,320:
- Ten thousands: 0 vs 9 → so 907,965 < 991,320

Final order (least to greatest):
1. 226,749
2. 805,663
3. 907,965
4. 991,320

Fill in chart:

```
Thousands Ones
Hund Tens Ones Hund Tens Ones
---------------------------
2 2 6 7 4 9 ← 226,749
8 0 5 6 6 3 ← 805,663
9 0 7 9 6 5 ← 907,965
9 9 1 3 2 0 ← 991,320
```

✔ Answer for #3:
- Least → 226,749
- Greatest → 991,320

---

Problem 4: Order from least to greatest

Numbers:
- 251,073
- 413,139
- 559,442
- 281,569

Compare hundred thousands:

| Number | Hundred Thousands |
|------------|-------------------|
| 251,073 | 2 |
| 413,139 | 4 |
| 559,442 | 5 |
| 281,569 | 2 |

So two numbers start with 2: 251,073 and 281,569

Compare ten thousands:
- 251,073 → 5
- 281,569 → 8 → so 251,073 < 281,569

Then:
- 413,139 → 4
- 559,442 → 5

So order from least to greatest:
1. 251,073
2. 281,569
3. 413,139
4. 559,442

Fill in chart:

```
Thousands Ones
Hund Tens Ones Hund Tens Ones
---------------------------
2 5 1 0 7 3 ← 251,073
2 8 1 5 6 9 ← 281,569
4 1 3 1 3 9 ← 413,139
5 5 9 4 4 2 ← 559,442
```

✔ Answer for #4:
- Least → 251,073
- Greatest → 559,442

---

✔ Final Answers Summary:

#### 1) Greatest to least:
- 841,705
- 706,185
- 674,509
- 183,242

#### 2) Greatest to least:
- 874,391
- 830,076
- 818,239
- 343,443

#### 3) Least to greatest:
- 226,749
- 805,663
- 907,965
- 991,320

#### 4) Least to greatest:
- 251,073
- 281,569
- 413,139
- 559,442

You can now fill in the charts using the above values in the correct rows. Each number goes into its own row, broken down into place values.

Let me know if you'd like a printable version or visual table!