This ordering 6-digit numbers worksheet provides students with hands-on practice comparing and arranging large numbers in ascending order.

Let's solve the problem step by step.

Task:

Order the given 6-digit numbers from smallest to largest.

---

Given Numbers:

We are given the following 6-digit numbers:

```
251 156, 191 211, 523 169, 161 150, 580 786, 271 191, 637 819, 119 126, 921 005,
267 145, 213 399, 153 165, 911 499, 588 976, 937 091, 591 010, 690 111, 855 127
```

---

Step 1: Understand the Process

To order these numbers:
- Compare them digit by digit from left to right.
- Start with the hundred thousands place, then ten thousands, and so on.
- The number with the smaller digit in the highest place value is smaller overall.

---

Step 2: Sort the Numbers

Let’s list all the numbers and sort them.

We'll go through each number and compare.

#### List of numbers:

1. 251 156
2. 191 211
3. 523 169
4. 161 150
5. 580 786
6. 271 191
7. 637 819
8. 119 126
9. 921 005
10. 267 145
11. 213 399
12. 153 165
13. 911 499
14. 588 976
15. 937 091
16. 591 010
17. 690 111
18. 855 127

---

Now let's sort them from smallest to largest.

We can group them by their first digit (hundred thousands place):

#### Group by first digit:

- 1xx,xxx:
- 119 126
- 153 165
- 161 150
- 191 211

- 2xx,xxx:
- 213 399
- 251 156
- 267 145
- 271 191

- 5xx,xxx:
- 523 169
- 580 786
- 588 976
- 591 010

- 6xx,xxx:
- 637 819
- 690 111

- 8xx,xxx:
- 855 127

- 9xx,xxx:
- 911 499
- 921 005
- 937 091

---

Now sort within each group:

#### 1xx,xxx group:
- 119 126
- 153 165
- 161 150
- 191 211

(Compare tens of thousands: 11 < 15 < 16 < 19)

#### 2xx,xxx group:
- 213 399
- 251 156
- 267 145
- 271 191

(21 < 25 < 26 < 27)

#### 5xx,xxx group:
- 523 169
- 580 786
- 588 976
- 591 010

(52 < 58 < 58 → but 580 vs 588 → 580 < 588; then 588 < 591)

So: 523 169 < 580 786 < 588 976 < 591 010

#### 6xx,xxx group:
- 637 819
- 690 111

(63 < 69 → so 637 819 < 690 111)

#### 8xx,xxx group:
- 855 127

Only one.

#### 9xx,xxx group:
- 911 499
- 921 005
- 937 091

(91 < 92 < 93 → so 911 499 < 921 005 < 937 091)

---

Now combine all in order:

1. 119 126
2. 153 165
3. 161 150
4. 191 211
5. 213 399
6. 251 156
7. 267 145
8. 271 191
9. 523 169
10. 580 786
11. 588 976
12. 591 010
13. 637 819
14. 690 111
15. 855 127
16. 911 499
17. 921 005
18. 937 091

---

✔ Final Answer (from smallest to largest):

```
119 126
153 165
161 150
191 211
213 399
251 156
267 145
271 191
523 169
580 786
588 976
591 010
637 819
690 111
855 127
911 499
921 005
937 091
```

---

How to Fill the Ladder:

On the worksheet, there is a vertical ladder with "Largest" at the top and "Smallest" at the bottom.

So you fill it from top to bottom as:

- Top (largest): 937 091
- Then: 921 005
- Then: 911 499
- ...
- Bottom (smallest): 119 126

So the ladder should be filled from top to bottom in descending order.

But since the instruction says: "from smallest to largest", and the ladder has "Smallest" at the bottom and "Largest" at the top, we need to fill from bottom to top.

Wait — let's clarify:

> "Compare and order the numbers above, from smallest to largest."

And the ladder has:
- Arrow pointing up
- "Largest" at the top
- "Smallest" at the bottom

So, the bottom is smallest, top is largest.

Therefore, when filling the ladder:
- Start from bottom with the smallest number
- Go up to the top with the largest

So the order in the ladder (from bottom to top) is:

```
Bottom (smallest):
119 126
153 165
161 150
191 211
213 399
251 156
267 145
271 191
523 169
580 786
588 976
591 010
637 819
690 111
855 127
911 499
921 005
Top (largest): 937 091
```

---

✔ Final Answer for Worksheet:

Fill the ladder from bottom to top as:

```
[119 126]
[153 165]
[161 150]
[191 211]
[213 399]
[251 156]
[267 145]
[271 191]
[523 169]
[580 786]
[588 976]
[591 010]
[637 819]
[690 111]
[855 127]
[911 499]
[921 005]
[937 091]
```

This is the correct order from smallest to largest, matching the ladder direction.

---

🟩 Summary:

- We compared all 6-digit numbers.
- Grouped by hundred thousands digit.
- Sorted within groups.
- Listed in ascending order.
- Filled the ladder from bottom (smallest) to top (largest).

✔ Problem solved!