4th Grade Place Value Worksheets with Answer Key - Free Printable

To solve the problems in the worksheet, we need to analyze the place values of the digits in each number and determine the relationships between the values of specific digits in different places. Let's go through each problem step by step.

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Problem a: 6634

- The value of 6 in the thousands place is \(10\) times the value of 6 in the hundreds place.
- Explanation:
- The digit 6 in the thousands place has a value of \(6 \times 1000 = 6000\).
- The digit 6 in the hundreds place has a value of \(6 \times 100 = 600\).
- The ratio is \(\frac{6000}{600} = 10\).

This part is already filled out correctly.

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Problem b: 34487

- The value of 4 in the thousands place is \(\_\_\_\_\) times the value of \(\_\_\_\_\) in the hundreds place.
- Explanation:
- The digit 4 in the thousands place has a value of \(4 \times 1000 = 4000\).
- The digit 4 in the hundreds place has a value of \(4 \times 100 = 400\).
- The ratio is \(\frac{4000}{400} = 10\).

So, the answer is:
- The value of 4 in the thousands place is 10 times the value of 4 in the hundreds place.

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Problem c: 448

- The value of 4 in the hundreds place is \(\_\_\_\_\) times the value of \(\_\_\_\_\) in the tens place.
- Explanation:
- The digit 4 in the hundreds place has a value of \(4 \times 100 = 400\).
- The digit 4 in the tens place has a value of \(4 \times 10 = 40\).
- The ratio is \(\frac{400}{40} = 10\).

So, the answer is:
- The value of 4 in the hundreds place is 10 times the value of 4 in the tens place.

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Problem d: 8422

- The value of 2 in the tens place is \(\_\_\_\_\) times the value of \(\_\_\_\_\) in the ones place.
- Explanation:
- The digit 2 in the tens place has a value of \(2 \times 10 = 20\).
- The digit 2 in the ones place has a value of \(2 \times 1 = 2\).
- The ratio is \(\frac{20}{2} = 10\).

So, the answer is:
- The value of 2 in the tens place is 10 times the value of 2 in the ones place.

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Problem e: 45,156

- The value of 5 in the thousands place is \(\_\_\_\_\) times the value of \(\_\_\_\_\) in the tens place.
- Explanation:
- The digit 5 in the thousands place has a value of \(5 \times 1000 = 5000\).
- The digit 5 in the tens place has a value of \(5 \times 10 = 50\).
- The ratio is \(\frac{5000}{50} = 100\).

So, the answer is:
- The value of 5 in the thousands place is 100 times the value of 5 in the tens place.

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Problem f: 92149

- The value of 9 in the ten-thousands place is \(\_\_\_\_\) times the value of \(\_\_\_\_\) in the ones place.
- Explanation:
- The digit 9 in the ten-thousands place has a value of \(9 \times 10000 = 90000\).
- The digit 9 in the ones place has a value of \(9 \times 1 = 9\).
- The ratio is \(\frac{90000}{9} = 10000\).

So, the answer is:
- The value of 9 in the ten-thousands place is 10000 times the value of 9 in the ones place.

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Final Answers:

\[
\boxed{
\begin{array}{l}
\text{b: The value of 4 in the } \textbf{thousands} \text{ place is } \textbf{10} \text{ times the value of } \textbf{4} \text{ in the hundreds place.} \\
\text{c: The value of 4 in the } \textbf{hundreds} \text{ place is } \textbf{10} \text{ times the value of } \textbf{4} \text{ in the tens place.} \\
\text{d: The value of 2 in the } \textbf{tens} \text{ place is } \textbf{10} \text{ times the value of } \textbf{2} \text{ in the ones place.} \\
\text{e: The value of 5 in the } \textbf{thousands} \text{ place is } \textbf{100} \text{ times the value of } \textbf{5} \text{ in the tens place.} \\
\text{f: The value of 9 in the } \textbf{ten-thousands} \text{ place is } \textbf{10000} \text{ times the value of } \textbf{9} \text{ in the ones place.}
\end{array}
}
\]