Place Value and Digit Value - Hundreds Tens and Ones - Worksheet ... - Free Printable

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

---

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

---

## 🔹 First Problem (Top Section)

Visual Representation:

- Hundreds: 3 full hundreds blocks → 3 × 100 = 300
- Tens: 3 tens rods → 3 × 10 = 30
- Ones: 5 individual squares → 5 × 1 = 5

So, the total number is:
> 300 + 30 + 5 = 335

Now fill in the blanks:

#### ✔ The number is 335

Now, we break down the place value and digit value for each digit.

| Digit | Place Value | Digit Value |
|-------|-------------|-------------|
| 3 (hundreds) | Hundreds | 300 |
| 3 (tens) | Tens | 30 |
| 5 (ones) | Ones | 5 |

So:

- Place value for 3 (hundreds) is hundreds
- Place value for 3 (tens) is tens
- Place value for 5 (ones) is ones
- Digit value for 3 (hundreds) is 300
- Digit value for 3 (tens) is 30
- Digit value for 5 (ones) is 5

> Note: The worksheet asks for "place value for ____" — likely referring to the digit and its position. So we write:
> - Place value for 3 is hundreds
> - Place value for 3 is tens
> - Place value for 5 is ones

But since both digits are 3, it's important to clarify which one. In context, it’s clear from the chart.

---

## 🔹 Second Problem (Bottom Section)

Visual Representation:

- Hundreds: 2 full hundreds blocks → 2 × 100 = 200
- Tens: 4 tens rods → 4 × 10 = 40
- Ones: 3 individual squares → 3 × 1 = 3

Total number:
> 200 + 40 + 3 = 243

#### ✔ The number is 243

Now break down:

| Digit | Place Value | Digit Value |
|-------|-------------|-------------|
| 2 (hundreds) | Hundreds | 200 |
| 4 (tens) | Tens | 40 |
| 3 (ones) | Ones | 3 |

Fill in:

- Place value for 2 is hundreds
- Place value for 4 is tens
- Place value for 3 is ones
- Digit value for 2 is 200
- Digit value for 4 is 40
- Digit value for 3 is 3

---

✔ Final Answers:

#### First Number: 335
- The number is 335
- Place value for 3 is hundreds
- Place value for 3 is tens
- Place value for 5 is ones
- Digit value for 3 is 300
- Digit value for 3 is 30
- Digit value for 5 is 5

#### Second Number: 243
- The number is 243
- Place value for 2 is hundreds
- Place value for 4 is tens
- Place value for 3 is ones
- Digit value for 2 is 200
- Digit value for 4 is 40
- Digit value for 3 is 3

---

📌 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 that digit in that position (e.g., the digit 3 in the tens place has a digit value of 30).

This helps students understand how numbers are built using base-10 system.

Let me know if you'd like this formatted as a completed worksheet!