This worksheet challenges students to order six-digit numbers in both ascending and descending sequences.

Let’s solve each part step by step. We’re ordering 6-digit numbers — that means we look at the digits from left to right (hundred thousands, ten thousands, thousands, hundreds, tens, ones) to decide which number is bigger or smaller.

---

Part A: Order from greatest to least

We compare the numbers digit by digit starting from the left.

1. Numbers:
229,034 | 427,044 | 475,122 | 371,578 | 417,366

- Look at hundred thousands place:
- 475,122 → 4
- 427,044 → 4
- 417,366 → 4
- 371,578 → 3
- 229,034 → 2

So 475k, 427k, 417k are all in the 400s — need to compare further.

Compare 475,122 vs 427,044 vs 417,366:

- Ten thousands place:
- 475,122 → 7
- 427,044 → 2
- 417,366 → 1

So order among these three: 475,122 > 427,044 > 417,366

Then 371,578 (starts with 3), then 229,034 (starts with 2)

✔ Final order for #1:
475,122; 427,044; 417,366; 371,578; 229,034

---

2. Numbers:
149,668 | 159,171 | 156,787 | 134,892 | 154,664

All start with 1 — so look at ten thousands place:

- 159,171 → 5
- 156,787 → 5
- 154,664 → 5
- 149,668 → 4
- 134,892 → 3

Now compare the three that start with “15”:

- 159,171 → thousands digit = 9
- 156,787 → thousands digit = 6
- 154,664 → thousands digit = 4

So: 159,171 > 156,787 > 154,664

Then 149,668, then 134,892

✔ Final order for #2:
159,171; 156,787; 154,664; 149,668; 134,892

---

3. Numbers:
256,212 | 425,676 | 256,122 | 408,423 | 406,729

Hundred thousands:

- 425,676 → 4
- 408,423 → 4
- 406,729 → 4
- 256,212 → 2
- 256,122 → 2

Compare the 400s:

- 425,676 → ten thousands = 2
- 408,423 → ten thousands = 0
- 406,729 → ten thousands = 0

So 425,676 is biggest.

Now compare 408,423 and 406,729:

- Thousands place: 8 vs 6 → 408,423 > 406,729

Now the 200s: 256,212 and 256,122

- Same up to hundreds: 256,2xx vs 256,1xx → 256,212 > 256,122

✔ Final order for #3:
425,676; 408,423; 406,729; 256,212; 256,122

---

4. Numbers:
764,907 | 348,277 | 619,876 | 683,247 | 819,768

Hundred thousands:

- 819,768 → 8
- 764,907 → 7
- 683,247 → 6
- 619,876 → 6
- 348,277 → 3

So 819,768 is first.

Then 764,907.

Now compare 683,247 and 619,876:

- Ten thousands: 8 vs 1 → 683,247 > 619,876

Then 348,277 last.

✔ Final order for #4:
819,768; 764,907; 683,247; 619,876; 348,277

---

Part B: Order from least to greatest

Now we go smallest to largest.

1. Numbers:
723,124 | 325,813 | 327,947 | 135,692 | 771,878

Hundred thousands:

- 135,692 → 1
- 325,813 → 3
- 327,947 → 3
- 723,124 → 7
- 771,878 → 7

Smallest: 135,692

Next, compare 325,813 and 327,947:

- Thousands: 5 vs 7 → 325,813 < 327,947

Then 723,124 and 771,878:

- Ten thousands: 2 vs 7 → 723,124 < 771,878

✔ Final order for #1:
135,692; 325,813; 327,947; 723,124; 771,878

---

2. Numbers:
119,231 | 119,992 | 118,122 | 118,199 | 118,329

All start with 11 — look at thousands:

- 118,122 → 8
- 118,199 → 8
- 118,329 → 8
- 119,231 → 9
- 119,992 → 9

So group 118s first, then 119s.

Among 118s:

- 118,122 → hundreds = 1
- 118,199 → hundreds = 1 → same, check tens: 2 vs 9 → 118,122 < 118,199
- 118,329 → hundreds = 3 → bigger than both

So 118,122 < 118,199 < 118,329

Among 119s:

- 119,231 vs 119,992 → hundreds: 2 vs 9 → 119,231 < 119,992

✔ Final order for #2:
118,122; 118,199; 118,329; 119,231; 119,992

---

3. Numbers:
199,897 | 417,423 | 215,999 | 415,899 | 145,923

Hundred thousands:

- 145,923 → 1
- 199,897 → 1
- 215,999 → 2
- 415,899 → 4
- 417,423 → 4

Group 100s: 145,923 and 199,897 → 145k < 199k

Then 215,999

Then 400s: 415,899 and 417,423 → 415k < 417k

✔ Final order for #3:
145,923; 199,897; 215,999; 415,899; 417,423

---

4. Numbers:
462,248 | 627,647 | 462,244 | 617,779 | 626,584

Hundred thousands:

- 462,248 → 4
- 462,244 → 4
- 617,779 → 6
- 626,584 → 6
- 627,647 → 6

First, compare the two 462s:

- 462,244 vs 462,248 → same until ones: 4 < 8 → so 462,244 < 462,248

Now the 600s:

- 617,779 → ten thousands = 1
- 626,584 → ten thousands = 2
- 627,647 → ten thousands = 2

So 617,779 is smallest of the 600s.

Now compare 626,584 and 627,647:

- Thousands: 6 vs 7 → 626,584 < 627,647

✔ Final order for #4:
462,244; 462,248; 617,779; 626,584; 627,647

---

Final Answer:

A)
1. 475,122; 427,044; 417,366; 371,578; 229,034
2. 159,171; 156,787; 154,664; 149,668; 134,892
3. 425,676; 408,423; 406,729; 256,212; 256,122
4. 819,768; 764,907; 683,247; 619,876; 348,277

B)
1. 135,692; 325,813; 327,947; 723,124; 771,878
2. 118,122; 118,199; 118,329; 119,231; 119,992
3. 145,923; 199,897; 215,999; 415,899; 417,423
4. 462,244; 462,248; 617,779; 626,584; 627,647