Place Value Worksheets (5-Digit Numbers) - 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: 60,812

##### a. Value of Each Digit
- Value of the digit 2: The digit 2 is in the ones place. Its value is \( 2 \times 1 = 2 \).
- Value of the digit 1: The digit 1 is in the tens place. Its value is \( 1 \times 10 = 10 \).
- Value of the digit 8: The digit 8 is in the hundreds place. Its value is \( 8 \times 100 = 800 \).
- Value of the digit 0: The digit 0 is in the thousands place. Its value is \( 0 \times 1,000 = 0 \).
- Value of the digit 6: The digit 6 is in the ten-thousands place. Its value is \( 6 \times 10,000 = 60,000 \).

##### b. Even or Odd
- The last digit of the number 60,812 is 2, which is even. Therefore, the number is even.

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#### 2. Fill in the Empty Boxes on the Number Line
The number line shows the number 60,812 and asks to fill in the boxes around it. Typically, these boxes represent numbers that are one unit apart from 60,812.

- The number to the left of 60,812 is \( 60,812 - 1 = 60,811 \).
- The number to the right of 60,812 is \( 60,812 + 1 = 60,813 \).

So, the number line should be filled as:
\[ \boxed{60,811, 60,812, 60,813} \]

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#### 3. Write the Number in Expanded Form
The expanded form of a number breaks it down into the sum of its place values.

- \( 60,812 = (6 \times 10,000) + (0 \times 1,000) + (8 \times 100) + (1 \times 10) + (2 \times 1) \)
- This can be written as:
\[ 60,000 + 0 + 800 + 10 + 2 \]

So, the expanded form is:
\[ \boxed{60,000 + 800 + 10 + 2} \]

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#### 4. Arithmetic Operations
##### a. 1,000 less than 60,812
\[ 60,812 - 1,000 = 59,812 \]

##### b. 10,000 more than 60,812
\[ 60,812 + 10,000 = 70,812 \]

##### c. 100 less than 60,812
\[ 60,812 - 100 = 60,712 \]

##### d. 1 more than 60,812
\[ 60,812 + 1 = 60,813 \]

##### e. 10,000 less than 60,812
\[ 60,812 - 10,000 = 50,812 \]

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#### 5. Compare Numbers
##### a. Compare 61,810 and 60,812
- \( 61,810 > 60,812 \)

##### b. Compare 60,812 and 60,218
- \( 60,812 > 60,218 \)

##### c. Compare 62,802 and 60,812
- \( 62,802 > 60,812 \)

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Final Answers:

1. Values of Digits:
- Value of 2: \( 2 \)
- Value of 1: \( 10 \)
- Value of 8: \( 800 \)
- Value of 0: \( 0 \)
- Value of 6: \( 60,000 \)

2. Number Line:
\[ \boxed{60,811, 60,812, 60,813} \]

3. Expanded Form:
\[ \boxed{60,000 + 800 + 10 + 2} \]

4. Arithmetic Operations:
- 1,000 less: \( 59,812 \)
- 10,000 more: \( 70,812 \)
- 100 less: \( 60,712 \)
- 1 more: \( 60,813 \)
- 10,000 less: \( 50,812 \)

5. Comparisons:
- \( 61,810 > 60,812 \)
- \( 60,812 > 60,218 \)
- \( 62,802 > 60,812 \)

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Final Boxed Answers:

\[
\boxed{
\begin{aligned}
&\text{Values of Digits: } 2, 10, 800, 0, 60,000 \\
&\text{Number Line: } 60,811, 60,812, 60,813 \\
&\text{Expanded Form: } 60,000 + 800 + 10 + 2 \\
&\text{Arithmetic: } 59,812, 70,812, 60,712, 60,813, 50,812 \\
&\text{Comparisons: } >, >, >
\end{aligned}
}
\]