3RD GRADE MATH - PLACE VALUE TO TEN THOUSANDS WORKSHEETS 2 — Steemit - Free Printable

Let's solve the Place Value to Ten Thousands Worksheet - 3 step by step. We’ll analyze each problem using the base-ten blocks and fill in all required forms: Standard Form, In Words, Base Ten Name, Place Value Chart, and Expanded Form.

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🔢 Understanding Base Ten Blocks

- Large cube (10×10×10) = 1,000 (One thousand)
- Flat square (10×10) = 100 (One hundred)
- Rod (10 units long) = 10 (Ten)
- Small cube = 1 (One)

We'll count how many of each block are present.

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## ✔ Problem 1

🧱 Block Count:

There are 9 large cubes (each = 1,000).

So:
- Thousands: 9 × 1,000 = 9,000
- No flats (hundreds), rods (tens), or small cubes (ones)

✔ Fill in the Table:

| Standard Form | In Words | Base Ten Name |
|---------------|----------|----------------|
| 9,000 | Nine thousand | 9 thousands |

| Ten Thousands | Thousands | Hundreds | Tens | Ones | Expanded Form of the Number |
|---------------|-----------|----------|------|------|-------------------------------|
| 0 | 9 | 0 | 0 | 0 | 9,000 = 9 × 1,000 |

> 💡 Expanded Form: 9,000 = 9 × 1,000 + 0 × 100 + 0 × 10 + 0 × 1
> But since only thousands are present, we write: 9,000 = 9 × 1,000

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## ✔ Problem 2

Now let’s count the blocks carefully.

🔍 Breakdown of Blocks:

#### 1. Large Cubes (1,000):
- There are 3 rows of large cubes.
- Each row has 10 cubes → 3 × 10 = 30 large cubes
- So: 30 × 1,000 = 30,000

#### 2. Flat Squares (100):
- Below the cubes, there are 6 flat squares (each = 100)
- So: 6 × 100 = 600

#### 3. Rods (10):
- There are 7 rods (each = 10)
- So: 7 × 10 = 70

#### 4. Small Cubes (1):
- There are 5 small cubes
- So: 5 × 1 = 5

✔ Total Value:

Add them up:
- 30,000 (thousands)
- + 600 (hundreds)
- + 70 (tens)
- + 5 (ones)
= 30,675

✔ Fill in the Table:

| Standard Form | In Words | Base Ten Name |
|---------------|----------|----------------|
| 30,675 | Thirty thousand six hundred seventy-five | 3 ten thousands, 0 thousands, 6 hundreds, 7 tens, 5 ones |

| Ten Thousands | Thousands | Hundreds | Tens | Ones | Expanded Form of the Number |
|---------------|-----------|----------|------|------|-------------------------------|
| 3 | 0 | 6 | 7 | 5 | 30,675 = 3 × 10,000 + 0 × 1,000 + 6 × 100 + 7 × 10 + 5 × 1 |

> 💡 Expanded Form:
> 30,675 = 3 × 10,000 + 6 × 100 + 7 × 10 + 5 × 1
> (Note: The "0" for thousands is included but often omitted in simplified expanded form.)

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✔ Final Answer Summary:

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Problem 1:

- Standard Form: 9,000
- In Words: Nine thousand
- Base Ten Name: 9 thousands
- Place Value Chart:
- Ten Thousands: 0
- Thousands: 9
- Hundreds: 0
- Tens: 0
- Ones: 0
- Expanded Form: 9 × 1,000

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Problem 2:

- Standard Form: 30,675
- In Words: Thirty thousand six hundred seventy-five
- Base Ten Name: 3 ten thousands, 0 thousands, 6 hundreds, 7 tens, 5 ones
- Place Value Chart:
- Ten Thousands: 3
- Thousands: 0
- Hundreds: 6
- Tens: 7
- Ones: 5
- Expanded Form: 3 × 10,000 + 6 × 100 + 7 × 10 + 5 × 1

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✔ This worksheet helps students understand how numbers are built using place value — a foundational skill in third-grade math!

Let me know if you'd like this formatted as a printable answer key!