3RD GRADE MATH - PLACE VALUE TO TEN THOUSANDS LESSON & WORKSHEETS ... - Free Printable

Problem Description:

The task involves interpreting base ten blocks to represent numbers and expressing them in various forms: standard form, words, base ten name, place value chart, and expanded form. The worksheet focuses on understanding place values up to the ten thousands place.

Step-by-Step Solution:

#### Part 1:
The image shows the following base ten blocks:
- 3 large cubes (each representing 1,000)
- 4 long rods (each representing 100)
- 5 small squares (each representing 10)

#### Step 1: Determine the Number
- Each large cube represents 1,000, so 3 cubes = \(3 \times 1,000 = 3,000\).
- Each long rod represents 100, so 4 rods = \(4 \times 100 = 400\).
- Each small square represents 10, so 5 squares = \(5 \times 10 = 50\).

Adding these together:
\[
3,000 + 400 + 50 = 3,450
\]

#### Step 2: Fill in the Table

1. Standard Form: The number is 3,450.
2. In Words: The number is written as three thousand four hundred fifty.
3. Base Ten Name: The base ten name is 3 thousands, 4 hundreds, 5 tens.
4. Place Value Chart:
- Ten Thousands: 0
- Thousands: 3
- Hundreds: 4
- Tens: 5
- Ones: 0
5. Expanded Form: The expanded form is:
\[
3,000 + 400 + 50
\]

#### Completed Table for Part 1:

| Standard Form | In Words | Base Ten Name |
|---------------|------------------------|-------------------------------|
| 3,450 | Three thousand four hundred fifty | 3 thousands, 4 hundreds, 5 tens |

| Ten Thousands | Thousands | Hundreds | Tens | Ones | Expanded Form of the Number |
|---------------|-----------|----------|------|------|-----------------------------|
| 0 | 3 | 4 | 5 | 0 | 3,000 + 400 + 50 |

---

#### Part 2:
The image shows the following base ten blocks:
- 2 large cubes (each representing 10,000)
- 7 large cubes (each representing 1,000)
- 6 long rods (each representing 100)
- 8 small squares (each representing 10)
- 9 small dots (each representing 1)

#### Step 1: Determine the Number
- Each large cube (ten thousands) represents 10,000, so 2 cubes = \(2 \times 10,000 = 20,000\).
- Each large cube (thousands) represents 1,000, so 7 cubes = \(7 \times 1,000 = 7,000\).
- Each long rod represents 100, so 6 rods = \(6 \times 100 = 600\).
- Each small square represents 10, so 8 squares = \(8 \times 10 = 80\).
- Each small dot represents 1, so 9 dots = \(9 \times 1 = 9\).

Adding these together:
\[
20,000 + 7,000 + 600 + 80 + 9 = 27,689
\]

#### Step 2: Fill in the Table

1. Standard Form: The number is 27,689.
2. In Words: The number is written as twenty-seven thousand six hundred eighty-nine.
3. Base Ten Name: The base ten name is 2 ten thousands, 7 thousands, 6 hundreds, 8 tens, 9 ones.
4. Place Value Chart:
- Ten Thousands: 2
- Thousands: 7
- Hundreds: 6
- Tens: 8
- Ones: 9
5. Expanded Form: The expanded form is:
\[
20,000 + 7,000 + 600 + 80 + 9
\]

#### Completed Table for Part 2:

| Standard Form | In Words | Base Ten Name |
|---------------|------------------------------|---------------------------------------|
| 27,689 | Twenty-seven thousand six hundred eighty-nine | 2 ten thousands, 7 thousands, 6 hundreds, 8 tens, 9 ones |

| Ten Thousands | Thousands | Hundreds | Tens | Ones | Expanded Form of the Number |
|---------------|-----------|----------|------|------|-----------------------------|
| 2 | 7 | 6 | 8 | 9 | 20,000 + 7,000 + 600 + 80 + 9 |

---

Final Answer:

\[
\boxed{
\begin{array}{c}
\text{Part 1:} \\
\text{Standard Form: } 3,450 \\
\text{In Words: } \text{Three thousand four hundred fifty} \\
\text{Base Ten Name: } \text{3 thousands, 4 hundreds, 5 tens} \\
\text{Place Value Chart: } \begin{array}{ccccc}
\text{Ten Thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones} \\
0 & 3 & 4 & 5 & 0
\end{array} \\
\text{Expanded Form: } 3,000 + 400 + 50 \\
\\
\text{Part 2:} \\
\text{Standard Form: } 27,689 \\
\text{In Words: } \text{Twenty-seven thousand six hundred eighty-nine} \\
\text{Base Ten Name: } \text{2 ten thousands, 7 thousands, 6 hundreds, 8 tens, 9 ones} \\
\text{Place Value Chart: } \begin{array}{ccccc}
\text{Ten Thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones} \\
2 & 7 & 6 & 8 & 9
\end{array} \\
\text{Expanded Form: } 20,000 + 7,000 + 600 + 80 + 9
\end{array}
}
\]