Educational worksheets for practicing place value concepts with multi-digit whole numbers, including division by 10 and expanded form.

The image shows a worksheet focused on generalizing place value for multi-digit whole numbers. It includes two main sections: solving equations involving division by 10 and writing numbers in expanded form (or vice versa). Below, I will solve the problems step by step.

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Section 1: Solving Equations

The task is to solve the following equations by dividing each number by 10.

#### Given Equations:
1. \( 700 \div 10 = \)
2. \( 8000 \div 10 = \)
3. \( 50 \div 10 = \)
4. \( 60 \div 10 = \)
5. \( 200 \div 10 = \)
6. \( 1000 \div 10 = \)
7. \( 10 \div 10 = \)

#### Solution:
- Step 1: Divide each number by 10.
- \( 700 \div 10 = 70 \)
- \( 8000 \div 10 = 800 \)
- \( 50 \div 10 = 5 \)
- \( 60 \div 10 = 6 \)
- \( 200 \div 10 = 20 \)
- \( 1000 \div 10 = 100 \)
- \( 10 \div 10 = 1 \)

#### Final Answers:
1. \( 70 \)
2. \( 800 \)
3. \( 5 \)
4. \( 6 \)
5. \( 20 \)
6. \( 100 \)
7. \( 1 \)

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Section 2: Expanded Form

The task is to write the expanded form of the given numbers or vice versa.

#### Part A: Writing the Expanded Form
1. \( 300 + 20 + 3 \)
2. \( 2,040 \)
3. \( 56,891 \)
4. \( 7000 + 30 + 5 \)
5. \( 20000 + 100 + 10 + 1 \)
6. \( 561 \)
7. \( 340,101 \)

#### Solution:
- Step 1: For numbers given in expanded form, combine them to get the standard form.
- \( 300 + 20 + 3 = 323 \)
- \( 7000 + 30 + 5 = 7035 \)
- \( 20000 + 100 + 10 + 1 = 20111 \)

- Step 2: For numbers given in standard form, break them down into their place values.
- \( 2,040 = 2000 + 40 \)
- \( 56,891 = 50000 + 6000 + 800 + 90 + 1 \)
- \( 561 = 500 + 60 + 1 \)
- \( 340,101 = 300000 + 40000 + 100 + 1 \)

#### Final Answers:
1. \( 323 \)
2. \( 2000 + 40 \)
3. \( 50000 + 6000 + 800 + 90 + 1 \)
4. \( 7035 \)
5. \( 20111 \)
6. \( 500 + 60 + 1 \)
7. \( 300000 + 40000 + 100 + 1 \)

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Final Answer Summary:

#### Section 1: Solving Equations
1. \( 70 \)
2. \( 800 \)
3. \( 5 \)
4. \( 6 \)
5. \( 20 \)
6. \( 100 \)
7. \( 1 \)

#### Section 2: Expanded Form
1. \( 323 \)
2. \( 2000 + 40 \)
3. \( 50000 + 6000 + 800 + 90 + 1 \)
4. \( 7035 \)
5. \( 20111 \)
6. \( 500 + 60 + 1 \)
7. \( 300000 + 40000 + 100 + 1 \)

\boxed{
\begin{array}{l}
\text{Section 1:} \\
1. 70 \\
2. 800 \\
3. 5 \\
4. 6 \\
5. 20 \\
6. 100 \\
7. 1 \\
\\
\text{Section 2:} \\
1. 323 \\
2. 2000 + 40 \\
3. 50000 + 6000 + 800 + 90 + 1 \\
4. 7035 \\
5. 20111 \\
6. 500 + 60 + 1 \\
7. 300000 + 40000 + 100 + 1 \\
\end{array}
}