Value & Place Value Worksheets | Free - Distance Learning ... - Free Printable

Problem Analysis:

The task involves determining the place value of digits in numbers represented using base-10 blocks. Each block type corresponds to a specific place value:
- Large cube: Represents 1,000 (thousands place)
- Flat square: Represents 100 (hundreds place)
- Tall rectangle: Represents 10 (tens place)
- Small square: Represents 1 (ones place)

We need to count the number of each type of block and determine the digit in the specified place value for each problem.

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Solution:

#### Problem 1:
- Blocks shown:
- 3 large cubes (each represents 1,000)
- 4 flat squares (each represents 100)
- 5 tall rectangles (each represents 10)
- 6 small squares (each represents 1)

- Number represented:
\( 3 \times 1,000 + 4 \times 100 + 5 \times 10 + 6 \times 1 = 3,456 \)

- Question: What digit is in the thousands place?
- The thousands place is the leftmost digit in the number 3,456.
- Answer: 3

#### Problem 2:
- Blocks shown:
- 2 large cubes (each represents 1,000)
- 5 flat squares (each represents 100)
- 3 tall rectangles (each represents 10)
- 7 small squares (each represents 1)

- Number represented:
\( 2 \times 1,000 + 5 \times 100 + 3 \times 10 + 7 \times 1 = 2,537 \)

- Question: What digit is in the hundreds place?
- The hundreds place is the second digit from the right in the number 2,537.
- Answer: 5

#### Problem 3:
- Blocks shown:
- 1 large cube (each represents 1,000)
- 3 flat squares (each represents 100)
- 2 tall rectangles (each represents 10)
- 4 small squares (each represents 1)

- Number represented:
\( 1 \times 1,000 + 3 \times 100 + 2 \times 10 + 4 \times 1 = 1,324 \)

- Question: What digit is in the hundreds place?
- The hundreds place is the second digit from the right in the number 1,324.
- Answer: 3

#### Problem 4:
- Blocks shown:
- 1 large cube (each represents 1,000)
- 4 flat squares (each represents 100)
- 6 tall rectangles (each represents 10)
- 8 small squares (each represents 1)

- Number represented:
\( 1 \times 1,000 + 4 \times 100 + 6 \times 10 + 8 \times 1 = 1,468 \)

- Question: What digit is in the hundreds place?
- The hundreds place is the second digit from the right in the number 1,468.
- Answer: 4

#### Problem 5:
- Blocks shown:
- 2 large cubes (each represents 1,000)
- 3 flat squares (each represents 100)
- 7 tall rectangles (each represents 10)
- 9 small squares (each represents 1)

- Number represented:
\( 2 \times 1,000 + 3 \times 100 + 7 \times 10 + 9 \times 1 = 2,379 \)

- Question: What digit is in the tens place?
- The tens place is the second digit from the right in the number 2,379.
- Answer: 7

#### Problem 6:
- Blocks shown:
- 1 large cube (each represents 1,000)
- 2 flat squares (each represents 100)
- 5 tall rectangles (each represents 10)
- 3 small squares (each represents 1)

- Number represented:
\( 1 \times 1,000 + 2 \times 100 + 5 \times 10 + 3 \times 1 = 1,253 \)

- Question: What digit is in the ones place?
- The ones place is the rightmost digit in the number 1,253.
- Answer: 3

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Final Answers:

1. 3
2. 5
3. 3
4. 4
5. 7
6. 3

Boxed Answer:
\[
\boxed{3, 5, 3, 4, 7, 3}
\]