Understanding 3-Digit Numbers: Count shaded blocks and write numbers in the chart.
Worksheet for understanding 3-digit numbers with place value blocks and hundreds, tens, ones chart.
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Step-by-step solution for: 2nd Grade Math Worksheets - Place Value - Reading & Writing 3-Digit Numbers - Understanding 3-Digit Numbers
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Show Answer Key & Explanations
Step-by-step solution for: 2nd Grade Math Worksheets - Place Value - Reading & Writing 3-Digit Numbers - Understanding 3-Digit Numbers
Let's solve this step-by-step based on the worksheet titled "Understanding 3-Digit Numbers".
---
The goal is to:
1. Count the shaded place value blocks (hundreds, tens, and ones).
2. Write the number in the HTO chart (Hundreds, Tens, Ones).
3. Color the corresponding blocks to represent that number.
We'll go through each box and analyze what needs to be done.
---
- Hundreds block: A large square divided into 10×10 = 100 small squares.
- Tens block: A long strip of 10 small squares.
- Ones block: Single small squares.
Each group of 10 tens makes a hundred. Each ten is made of 10 ones.
---
Now let’s examine each section:
---
## ✔ Box 1 (Top Left)
- Blocks shown:
- 3 full hundreds blocks (each = 100) → 3 × 100 = 300
- 4 tens blocks (each = 10) → 4 × 10 = 40
- 6 ones blocks → 6
- Total: 300 + 40 + 6 = 346
- HTO Chart: Fill in:
- H: 3
- T: 4
- O: 6
> ✔ Then color 3 hundreds, 4 tens, and 6 ones in the grid on the right.
---
## ✔ Box 2 (Top Right)
- Blocks shown:
- 5 hundreds → 5 × 100 = 500
- 7 tens → 7 × 10 = 70
- 2 ones → 2
- Total: 500 + 70 + 2 = 572
- HTO Chart:
- H: 5
- T: 7
- O: 2
> ✔ Color 5 hundreds, 7 tens, and 2 ones.
---
## ✔ Box 3 (Middle Left)
- Blocks shown:
- 2 hundreds → 200
- 9 tens → 90
- 4 ones → 4
- Total: 200 + 90 + 4 = 294
- HTO Chart:
- H: 2
- T: 9
- O: 4
> ✔ Color 2 hundreds, 9 tens, and 4 ones.
---
## ✔ Box 4 (Middle Right)
- Blocks shown:
- 4 hundreds → 400
- 5 tens → 50
- 8 ones → 8
- Total: 400 + 50 + 8 = 458
- HTO Chart:
- H: 4
- T: 5
- O: 8
> ✔ Color 4 hundreds, 5 tens, and 8 ones.
---
## ✔ Box 5 (Bottom Left)
- Already has number written: 328
- So we need to color the blocks to show 328.
- 3 hundreds → 3 × 100 = 300
- 2 tens → 2 × 10 = 20
- 8 ones → 8
- Color: 3 hundreds, 2 tens, 8 ones.
> ✔ The blocks are already drawn — just color them accordingly.
---
## ✔ Box 6 (Bottom Middle)
- Number given: 813
- Break down:
- 8 hundreds → 800
- 1 ten → 10
- 3 ones → 3
- Color: 8 hundreds, 1 ten, 3 ones.
> ✔ Color the blocks to match.
---
## ✔ Box 7 (Bottom Left)
- Number given: 561
- Break down:
- 5 hundreds → 500
- 6 tens → 60
- 1 one → 1
- Color: 5 hundreds, 6 tens, 1 one.
> ✔ Color accordingly.
---
## ✔ Box 8 (Bottom Right)
- Number given: 274
- Break down:
- 2 hundreds → 200
- 7 tens → 70
- 4 ones → 4
- Color: 2 hundreds, 7 tens, 4 ones.
> ✔ Color accordingly.
---
| Box | Hundreds | Tens | Ones | Number |
|-----|----------|------|------|--------|
| 1 | 3 | 4 | 6 | 346 |
| 2 | 5 | 7 | 2 | 572 |
| 3 | 2 | 9 | 4 | 294 |
| 4 | 4 | 5 | 8 | 458 |
| 5 | 3 | 2 | 8 | 328 |
| 6 | 8 | 1 | 3 | 813 |
| 7 | 5 | 6 | 1 | 561 |
| 8 | 2 | 7 | 4 | 274 |
---
For Boxes 1–4, count the blocks and write the number in HTO.
For Boxes 5–8, the number is already given — use it to color the correct number of blocks.
> 💡 Tip: Use colored pencils or markers to shade:
> - Hundreds: whole 10×10 squares
> - Tens: long strips of 10
> - Ones: single dots/squares
---
✔ This worksheet helps students visualize place value and connect physical representations with numerical digits.
Let me know if you'd like a printable version or visual guide!
---
🔍 Objective:
The goal is to:
1. Count the shaded place value blocks (hundreds, tens, and ones).
2. Write the number in the HTO chart (Hundreds, Tens, Ones).
3. Color the corresponding blocks to represent that number.
We'll go through each box and analyze what needs to be done.
---
🧩 Understanding Place Value Blocks:
- Hundreds block: A large square divided into 10×10 = 100 small squares.
- Tens block: A long strip of 10 small squares.
- Ones block: Single small squares.
Each group of 10 tens makes a hundred. Each ten is made of 10 ones.
---
Now let’s examine each section:
---
## ✔ Box 1 (Top Left)
- Blocks shown:
- 3 full hundreds blocks (each = 100) → 3 × 100 = 300
- 4 tens blocks (each = 10) → 4 × 10 = 40
- 6 ones blocks → 6
- Total: 300 + 40 + 6 = 346
- HTO Chart: Fill in:
- H: 3
- T: 4
- O: 6
> ✔ Then color 3 hundreds, 4 tens, and 6 ones in the grid on the right.
---
## ✔ Box 2 (Top Right)
- Blocks shown:
- 5 hundreds → 5 × 100 = 500
- 7 tens → 7 × 10 = 70
- 2 ones → 2
- Total: 500 + 70 + 2 = 572
- HTO Chart:
- H: 5
- T: 7
- O: 2
> ✔ Color 5 hundreds, 7 tens, and 2 ones.
---
## ✔ Box 3 (Middle Left)
- Blocks shown:
- 2 hundreds → 200
- 9 tens → 90
- 4 ones → 4
- Total: 200 + 90 + 4 = 294
- HTO Chart:
- H: 2
- T: 9
- O: 4
> ✔ Color 2 hundreds, 9 tens, and 4 ones.
---
## ✔ Box 4 (Middle Right)
- Blocks shown:
- 4 hundreds → 400
- 5 tens → 50
- 8 ones → 8
- Total: 400 + 50 + 8 = 458
- HTO Chart:
- H: 4
- T: 5
- O: 8
> ✔ Color 4 hundreds, 5 tens, and 8 ones.
---
## ✔ Box 5 (Bottom Left)
- Already has number written: 328
- So we need to color the blocks to show 328.
- 3 hundreds → 3 × 100 = 300
- 2 tens → 2 × 10 = 20
- 8 ones → 8
- Color: 3 hundreds, 2 tens, 8 ones.
> ✔ The blocks are already drawn — just color them accordingly.
---
## ✔ Box 6 (Bottom Middle)
- Number given: 813
- Break down:
- 8 hundreds → 800
- 1 ten → 10
- 3 ones → 3
- Color: 8 hundreds, 1 ten, 3 ones.
> ✔ Color the blocks to match.
---
## ✔ Box 7 (Bottom Left)
- Number given: 561
- Break down:
- 5 hundreds → 500
- 6 tens → 60
- 1 one → 1
- Color: 5 hundreds, 6 tens, 1 one.
> ✔ Color accordingly.
---
## ✔ Box 8 (Bottom Right)
- Number given: 274
- Break down:
- 2 hundreds → 200
- 7 tens → 70
- 4 ones → 4
- Color: 2 hundreds, 7 tens, 4 ones.
> ✔ Color accordingly.
---
✔ Summary Table:
| Box | Hundreds | Tens | Ones | Number |
|-----|----------|------|------|--------|
| 1 | 3 | 4 | 6 | 346 |
| 2 | 5 | 7 | 2 | 572 |
| 3 | 2 | 9 | 4 | 294 |
| 4 | 4 | 5 | 8 | 458 |
| 5 | 3 | 2 | 8 | 328 |
| 6 | 8 | 1 | 3 | 813 |
| 7 | 5 | 6 | 1 | 561 |
| 8 | 2 | 7 | 4 | 274 |
---
🎯 Final Instructions for Student:
For Boxes 1–4, count the blocks and write the number in HTO.
For Boxes 5–8, the number is already given — use it to color the correct number of blocks.
> 💡 Tip: Use colored pencils or markers to shade:
> - Hundreds: whole 10×10 squares
> - Tens: long strips of 10
> - Ones: single dots/squares
---
✔ This worksheet helps students visualize place value and connect physical representations with numerical digits.
Let me know if you'd like a printable version or visual guide!
Parent Tip: Review the logic above to help your child master the concept of value of numbers worksheet.