This worksheet helps third graders master place value by converting base ten block visualizations into standard, word, and expanded forms.
Place Value To Ten Thousands Worksheet showing base ten blocks for writing numbers in standard, word, and expanded forms.
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Step-by-step solution for: 3RD GRADE MATH - PLACE VALUE TO TEN THOUSANDS LESSON & WORKSHEETS ...
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Show Answer Key & Explanations
Step-by-step solution for: 3RD GRADE MATH - PLACE VALUE TO TEN THOUSANDS LESSON & WORKSHEETS ...
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:
\[
\boxed{
\begin{array}{c}
\text{Part 1:} \\
\text{Standard Form: } 3,450 \\
\text{In Words: } \text{Three thousand four hundred fifty} \\
\text{Base Ten Name: } \text{3 thousands, 4 hundreds, 5 tens} \\
\text{Place Value Chart: } \begin{array}{ccccc}
\text{Ten Thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones} \\
0 & 3 & 4 & 5 & 0
\end{array} \\
\text{Expanded Form: } 3,000 + 400 + 50 \\
\\
\text{Part 2:} \\
\text{Standard Form: } 27,689 \\
\text{In Words: } \text{Twenty-seven thousand six hundred eighty-nine} \\
\text{Base Ten Name: } \text{2 ten thousands, 7 thousands, 6 hundreds, 8 tens, 9 ones} \\
\text{Place Value Chart: } \begin{array}{ccccc}
\text{Ten Thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones} \\
2 & 7 & 6 & 8 & 9
\end{array} \\
\text{Expanded Form: } 20,000 + 7,000 + 600 + 80 + 9
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value blocks worksheet 3rd grade.