Ordering 4-digit numbers worksheet for math practice, including exercises to arrange numbers from least to greatest and greatest to least.

Problem Overview:

The task involves ordering sets of 4-digit numbers in two different ways:
1. From least to greatest (Part A)
2. From greatest to least (Part B)

We will solve each part step by step.

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Part A: Ordering Numbers from Least to Greatest

#### 1) Numbers: 1,312 | 5,645 | 3,245 | 1,098 | 2,561
- Compare the numbers digit by digit starting from the thousands place.
- Step-by-step comparison:
- 1,098 is the smallest because it has the smallest thousands digit (1).
- Next, 1,312 is larger than 1,098 but still smaller than the others.
- Then, 2,561 is next because it starts with 2.
- After that, 3,245 starts with 3.
- Finally, 5,645 is the largest.

- Ordered list: 1,098 | 1,312 | 2,561 | 3,245 | 5,645

#### 2) Numbers: 7,312 | 7,645 | 7,245 | 7,098 | 7,561
- All numbers start with 7, so we compare the hundreds place next.
- Step-by-step comparison:
- 7,098 is the smallest because it has the smallest hundreds digit (0).
- Next, 7,245 is larger than 7,098 but still smaller than the others.
- Then, 7,312 is next because it has a 3 in the hundreds place.
- After that, 7,561 has a 5 in the hundreds place.
- Finally, 7,645 is the largest.

- Ordered list: 7,098 | 7,245 | 7,312 | 7,561 | 7,645

#### 3) Numbers: 4,578 | 2,387 | 1,208 | 8,998 | 7,998
- Compare the thousands place first.
- Step-by-step comparison:
- 1,208 is the smallest because it has the smallest thousands digit (1).
- Next, 2,387 is larger than 1,208 but still smaller than the others.
- Then, 4,578 is next because it starts with 4.
- After that, 7,998 starts with 7.
- Finally, 8,998 is the largest.

- Ordered list: 1,208 | 2,387 | 4,578 | 7,998 | 8,998

#### 4) Numbers: 8,330 | 4,229 | 9,278 | 5,268 | 7,579
- Compare the thousands place first.
- Step-by-step comparison:
- 4,229 is the smallest because it has the smallest thousands digit (4).
- Next, 5,268 is larger than 4,229 but still smaller than the others.
- Then, 7,579 is next because it starts with 7.
- After that, 8,330 starts with 8.
- Finally, 9,278 is the largest.

- Ordered list: 4,229 | 5,268 | 7,579 | 8,330 | 9,278

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Part B: Ordering Numbers from Greatest to Least

#### 1) Numbers: 6,552 | 5,228 | 1,002 | 6,098 | 7,522
- Compare the thousands place first.
- Step-by-step comparison:
- 7,522 is the largest because it has the largest thousands digit (7).
- Next, 6,552 and 6,098 both start with 6, so we compare the hundreds place:
- 6,552 is larger than 6,098.
- After that, 5,228 is next because it starts with 5.
- Finally, 1,002 is the smallest.

- Ordered list: 7,522 | 6,552 | 6,098 | 5,228 | 1,002

#### 2) Numbers: 4,368 | 7,998 | 8,477 | 2,099 | 3,563
- Compare the thousands place first.
- Step-by-step comparison:
- 8,477 is the largest because it has the largest thousands digit (8).
- Next, 7,998 is the second largest because it starts with 7.
- Then, 4,368 is next because it starts with 4.
- After that, 3,563 starts with 3.
- Finally, 2,099 is the smallest.

- Ordered list: 8,477 | 7,998 | 4,368 | 3,563 | 2,099

#### 3) Numbers: 3,215 | 2,108 | 4,125 | 8,267 | 6,007
- Compare the thousands place first.
- Step-by-step comparison:
- 8,267 is the largest because it has the largest thousands digit (8).
- Next, 6,007 is the second largest because it starts with 6.
- Then, 4,125 is next because it starts with 4.
- After that, 3,215 starts with 3.
- Finally, 2,108 is the smallest.

- Ordered list: 8,267 | 6,007 | 4,125 | 3,215 | 2,108

#### 4) Numbers: 1,302 | 5,642 | 3,945 | 1,154 | 2,561
- Compare the thousands place first.
- Step-by-step comparison:
- 5,642 is the largest because it has the largest thousands digit (5).
- Next, 3,945 is the second largest because it starts with 3.
- Then, 2,561 is next because it starts with 2.
- After that, 1,302 starts with 1.
- Finally, 1,154 is the smallest.

- Ordered list: 5,642 | 3,945 | 2,561 | 1,302 | 1,154

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Final Answers:

#### Part A: From Least to Greatest
1. 1,098 | 1,312 | 2,561 | 3,245 | 5,645
2. 7,098 | 7,245 | 7,312 | 7,561 | 7,645
3. 1,208 | 2,387 | 4,578 | 7,998 | 8,998
4. 4,229 | 5,268 | 7,579 | 8,330 | 9,278

#### Part B: From Greatest to Least
1. 7,522 | 6,552 | 6,098 | 5,228 | 1,002
2. 8,477 | 7,998 | 4,368 | 3,563 | 2,099
3. 8,267 | 6,007 | 4,125 | 3,215 | 2,108
4. 5,642 | 3,945 | 2,561 | 1,302 | 1,154

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Part A:} \\
1. \, 1,098 \, | \, 1,312 \, | \, 2,561 \, | \, 3,245 \, | \, 5,645 \\
2. \, 7,098 \, | \, 7,245 \, | \, 7,312 \, | \, 7,561 \, | \, 7,645 \\
3. \, 1,208 \, | \, 2,387 \, | \, 4,578 \, | \, 7,998 \, | \, 8,998 \\
4. \, 4,229 \, | \, 5,268 \, | \, 7,579 \, | \, 8,330 \, | \, 9,278 \\
\\
\text{Part B:} \\
1. \, 7,522 \, | \, 6,552 \, | \, 6,098 \, | \, 5,228 \, | \, 1,002 \\
2. \, 8,477 \, | \, 7,998 \, | \, 4,368 \, | \, 3,563 \, | \, 2,099 \\
3. \, 8,267 \, | \, 6,007 \, | \, 4,125 \, | \, 3,215 \, | \, 2,108 \\
4. \, 5,642 \, | \, 3,945 \, | \, 2,561 \, | \, 1,302 \, | \, 1,154 \\
\end{array}
}
\]