Place Value and Digit Value Worksheet with Base-Ten Blocks for Learning Math Concepts

Let's solve the worksheet step by step based on the visual representation of base-10 blocks (hundreds, tens, and ones).

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Understanding the Blocks:

- Hundreds block: A 10×10 grid = 100 units
- Tens block: A vertical strip of 10 squares = 10 units
- Ones block: A single square = 1 unit

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## 🔹 Top Section

Visual Representation:

- Hundreds: 3 full grids → 3 × 100 = 300
- Tens: 4 vertical strips → 4 × 10 = 40
- Ones: 6 individual squares → 6 × 1 = 6

So, the total number is:

> 300 + 40 + 6 = 346

Now fill in the blanks.

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✔ Top Section Answers:

The number is → 346

Place value for 3 is → hundreds
Place value for 4 is → tens
Place value for 6 is → ones

Digit value for 3 is → 300
Digit value for 4 is → 40
Digit value for 6 is → 6

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## 🔹 Bottom Section

Visual Representation:

- Hundreds: 2 full grids → 2 × 100 = 200
- Tens: 5 vertical strips → 5 × 10 = 50
- Ones: 3 individual squares → 3 × 1 = 3

Total number:

> 200 + 50 + 3 = 253

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✔ Bottom Section Answers:

The number is → 253

Place value for 2 is → hundreds
Place value for 5 is → tens
Place value for 3 is → ones

Digit value for 2 is → 200
Digit value for 5 is → 50
Digit value for 3 is → 3

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## 📝 Final Answer Summary:

Top Part:

- The number is 346
- Place value for 3 is hundreds
- Place value for 4 is tens
- Place value for 6 is ones
- Digit value for 3 is 300
- Digit value for 4 is 40
- Digit value for 6 is 6

Bottom Part:

- The number is 253
- Place value for 2 is hundreds
- Place value for 5 is tens
- Place value for 3 is ones
- Digit value for 2 is 200
- Digit value for 5 is 50
- Digit value for 3 is 3

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✔ Explanation:
- Place value refers to the position of a digit in a number (e.g., hundreds, tens, ones).
- Digit value refers to the actual value of the digit in that place (e.g., 3 in the hundreds place has a digit value of 300).

This helps students understand how numbers are built using place values.