Place Value Worksheets: 7 Digits - Free Printable

Problem Analysis:

The worksheet involves understanding place values, expanded form, number line representation, and basic arithmetic operations. Let's solve each part step by step.

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#### 1. The special number is 8,351,207

- The value of the digit 5:
- The digit 5 is in the ten-thousands place.
- Its value is \( 5 \times 10,000 = 50,000 \).

- The value of the digit 7:
- The digit 7 is in the ones place.
- Its value is \( 7 \times 1 = 7 \).

- The value of the digit 3:
- The digit 3 is in the hundred-thousands place.
- Its value is \( 3 \times 100,000 = 300,000 \).

- The value of the digit 2:
- The digit 2 is in the hundreds place.
- Its value is \( 2 \times 100 = 200 \).

- The value of the digit 8:
- The digit 8 is in the millions place.
- Its value is \( 8 \times 1,000,000 = 8,000,000 \).

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#### 2. Fill in the empty boxes on the number line

The number line shows two points: one labeled as \( 6,361,207 \) and the other as \( 8,351,207 \). We need to fill in the missing numbers before and after these points.

- Before \( 6,361,207 \):
- Assume a consistent interval between the points. Since the difference between \( 6,361,207 \) and \( 8,351,207 \) is \( 8,351,207 - 6,361,207 = 1,990,000 \), we can infer that the interval is \( 1,990,000 \).
- The number before \( 6,361,207 \) is \( 6,361,207 - 1,990,000 = 4,371,207 \).

- After \( 8,351,207 \):
- The number after \( 8,351,207 \) is \( 8,351,207 + 1,990,000 = 10,341,207 \).

So, the number line should be filled as:
\[ \boxed{4,371,207 \quad 6,361,207 \quad 8,351,207 \quad 10,341,207} \]

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#### 3. Write the number in expanded form

The number \( 8,351,207 \) in expanded form is:
\[ 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7 \]

So, the expanded form is:
\[ \boxed{8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7} \]

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#### 4. Arithmetic operations

- 1,000,000 less than 8,351,207:
\[ 8,351,207 - 1,000,000 = 7,351,207 \]

- 1,000 more than 8,351,207:
\[ 8,351,207 + 1,000 = 8,352,207 \]

- 100,000 less than 8,351,207:
\[ 8,351,207 - 100,000 = 8,251,207 \]

- 10 more than 8,351,207:
\[ 8,351,207 + 10 = 8,351,217 \]

- 1 less than 8,351,207:
\[ 8,351,207 - 1 = 8,351,206 \]

So, the answers are:
\[ \boxed{7,351,207, 8,352,207, 8,251,207, 8,351,217, 8,351,206} \]

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#### 5. Compare the numbers

- Compare \( 8,513,207 \) and \( 8,351,207 \):
- Both numbers have the same millions and hundred-thousands digits (8 and 3), but the ten-thousands digit in \( 8,513,207 \) is 5, while in \( 8,351,207 \) it is 3.
- Therefore, \( 8,513,207 > 8,351,207 \).

So, the comparison is:
\[ \boxed{>} \]

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Value of 5: } 50,000 \\
\text{Value of 7: } 7 \\
\text{Value of 3: } 300,000 \\
\text{Value of 2: } 200 \\
\text{Value of 8: } 8,000,000 \\
\text{Number line: } 4,371,207, 6,361,207, 8,351,207, 10,341,207 \\
\text{Expanded form: } 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7 \\
\text{Arithmetic results: } 7,351,207, 8,352,207, 8,251,207, 8,351,217, 8,351,206 \\
\text{Comparison: } >
\end{array}
}
\]