Math worksheet for practicing place value and number sense with the number 8,351,207.
A math worksheet titled "Special Number" focusing on the number 8,351,207, with exercises on place value, number line placement, expanded form, and comparison.
JPG
321×413
50.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #348812
⭐
Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets: 7 Digits
▼
Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets: 7 Digits
Let's solve the problem step by step based on the worksheet titled "Special Number" with the number 8,351,207.
---
The special number is:
8,351,207
---
- A number is even if its last digit is even (0, 2, 4, 6, 8).
- A number is odd if its last digit is odd (1, 3, 5, 7, 9).
The last digit of 8,351,207 is 7, which is odd.
✔ So, the number is odd.
---
We analyze the place value of each digit in 8,351,207:
| Digit | Place Value | Value |
|-------|---------------------|-------|
| 8 | Millions | 8,000,000 |
| 3 | Hundred Thousands | 300,000 |
| 5 | Ten Thousands | 50,000 |
| 1 | Thousands | 1,000 |
| 2 | Hundreds | 200 |
| 0 | Tens | 0 |
| 7 | Ones | 7 |
Now answer the questions:
- The value of the digit 5 is: 50,000
- The value of the digit 7 is: 7
- The value of the digit 3 is: 300,000
- The value of the digit 2 is: 200
- The value of the digit 8 is: 8,000,000
---
We are given:
- A point at 8,351,207
- A point at 8,351,210
- We need to fill in the boxes on the number line.
Since 8,351,210 is 3 more than 8,351,207, we can assume the number line increases by 1 each step.
So the numbers should be:
- Before 8,351,207: 8,351,206, 8,351,205, 8,351,204
- After 8,351,207: 8,351,208, 8,351,209, 8,351,210
But the boxes are arranged like this:
```
[____] [____] [____] ←→ 8,351,207 ←→ [____] [____] [____]
```
Assuming the arrow points from left to right and the spacing is consistent, the sequence around 8,351,207 would be:
- Left side (before): 8,351,204, 8,351,205, 8,351,206
- Right side (after): 8,351,208, 8,351,209, 8,351,210
So fill in:
- Left boxes: 8,351,204, 8,351,205, 8,351,206
- Right boxes: 8,351,208, 8,351,209, 8,351,210
---
Write 8,351,207 in expanded form:
Break down each digit:
- 8,000,000 (8 millions)
- 300,000 (3 hundred thousands)
- 50,000 (5 ten thousands)
- 1,000 (1 thousand)
- 200 (2 hundreds)
- 0 tens → 0
- 7 ones → 7
So expanded form:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
Or simplified:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
---
#### a) 1,000,000 less than 8,351,207
- 8,351,207 - 1,000,000 = 7,351,207
#### b) 1,000 more than 8,351,207
- 8,351,207 + 1,000 = 8,352,207
#### c) 100,000 less than 8,351,207
- 8,351,207 - 100,000 = 8,251,207
#### d) 10 more than 8,351,207
- 8,351,207 + 10 = 8,351,217
#### e) 1 less than 8,351,207
- 8,351,207 - 1 = 8,351,206
---
Compare using <, >, or =:
1. 8,513,207 vs 8,351,207
- 8,513,207 > 8,351,207 → >
2. 8,251,307 vs 8,351,207
- 8,251,307 < 8,351,207 → <
3. 8,351,207 vs 8,315,207
- Compare digits:
- 8,351,207 vs 8,315,207
- Both start with 8,3... but next digit: 5 vs 1 → 5 > 1 → so >
4. 8,351,207 vs 8,351,702
- Compare digit by digit:
- First 5 digits: 8,351,2 vs 8,351,7 → 2 < 7 → so <
---
#### Special Number: 8,351,207
- Even or odd? → odd
#### Digit values:
- Value of 5 → 50,000
- Value of 7 → 7
- Value of 3 → 300,000
- Value of 2 → 200
- Value of 8 → 8,000,000
#### Number line:
Left: 8,351,204, 8,351,205, 8,351,206
Right: 8,351,208, 8,351,209, 8,351,210
#### Expanded form:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
#### Add/subtract:
- 1,000,000 less → 7,351,207
- 1,000 more → 8,352,207
- 100,000 less → 8,251,207
- 10 more → 8,351,217
- 1 less → 8,351,206
#### Comparisons:
1. 8,513,207 > 8,351,207
2. 8,251,307 < 8,351,207
3. 8,351,207 > 8,315,207
4. 8,351,207 < 8,351,702
---
Let me know if you'd like this formatted for printing or as a completed worksheet!
---
Step 1: Identify the special number
The special number is:
8,351,207
---
Step 2: Determine if it's even or odd
- A number is even if its last digit is even (0, 2, 4, 6, 8).
- A number is odd if its last digit is odd (1, 3, 5, 7, 9).
The last digit of 8,351,207 is 7, which is odd.
✔ So, the number is odd.
---
Step 3: Value of each digit
We analyze the place value of each digit in 8,351,207:
| Digit | Place Value | Value |
|-------|---------------------|-------|
| 8 | Millions | 8,000,000 |
| 3 | Hundred Thousands | 300,000 |
| 5 | Ten Thousands | 50,000 |
| 1 | Thousands | 1,000 |
| 2 | Hundreds | 200 |
| 0 | Tens | 0 |
| 7 | Ones | 7 |
Now answer the questions:
- The value of the digit 5 is: 50,000
- The value of the digit 7 is: 7
- The value of the digit 3 is: 300,000
- The value of the digit 2 is: 200
- The value of the digit 8 is: 8,000,000
---
Step 4: Fill in the number line
We are given:
- A point at 8,351,207
- A point at 8,351,210
- We need to fill in the boxes on the number line.
Since 8,351,210 is 3 more than 8,351,207, we can assume the number line increases by 1 each step.
So the numbers should be:
- Before 8,351,207: 8,351,206, 8,351,205, 8,351,204
- After 8,351,207: 8,351,208, 8,351,209, 8,351,210
But the boxes are arranged like this:
```
[____] [____] [____] ←→ 8,351,207 ←→ [____] [____] [____]
```
Assuming the arrow points from left to right and the spacing is consistent, the sequence around 8,351,207 would be:
- Left side (before): 8,351,204, 8,351,205, 8,351,206
- Right side (after): 8,351,208, 8,351,209, 8,351,210
So fill in:
- Left boxes: 8,351,204, 8,351,205, 8,351,206
- Right boxes: 8,351,208, 8,351,209, 8,351,210
---
Step 5: Expanded form
Write 8,351,207 in expanded form:
Break down each digit:
- 8,000,000 (8 millions)
- 300,000 (3 hundred thousands)
- 50,000 (5 ten thousands)
- 1,000 (1 thousand)
- 200 (2 hundreds)
- 0 tens → 0
- 7 ones → 7
So expanded form:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
Or simplified:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
---
Step 6: Fill in the blanks
#### a) 1,000,000 less than 8,351,207
- 8,351,207 - 1,000,000 = 7,351,207
#### b) 1,000 more than 8,351,207
- 8,351,207 + 1,000 = 8,352,207
#### c) 100,000 less than 8,351,207
- 8,351,207 - 100,000 = 8,251,207
#### d) 10 more than 8,351,207
- 8,351,207 + 10 = 8,351,217
#### e) 1 less than 8,351,207
- 8,351,207 - 1 = 8,351,206
---
Step 7: Compare numbers
Compare using <, >, or =:
1. 8,513,207 vs 8,351,207
- 8,513,207 > 8,351,207 → >
2. 8,251,307 vs 8,351,207
- 8,251,307 < 8,351,207 → <
3. 8,351,207 vs 8,315,207
- Compare digits:
- 8,351,207 vs 8,315,207
- Both start with 8,3... but next digit: 5 vs 1 → 5 > 1 → so >
4. 8,351,207 vs 8,351,702
- Compare digit by digit:
- First 5 digits: 8,351,2 vs 8,351,7 → 2 < 7 → so <
---
✔ Final Answers:
#### Special Number: 8,351,207
- Even or odd? → odd
#### Digit values:
- Value of 5 → 50,000
- Value of 7 → 7
- Value of 3 → 300,000
- Value of 2 → 200
- Value of 8 → 8,000,000
#### Number line:
Left: 8,351,204, 8,351,205, 8,351,206
Right: 8,351,208, 8,351,209, 8,351,210
#### Expanded form:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
#### Add/subtract:
- 1,000,000 less → 7,351,207
- 1,000 more → 8,352,207
- 100,000 less → 8,251,207
- 10 more → 8,351,217
- 1 less → 8,351,206
#### Comparisons:
1. 8,513,207 > 8,351,207
2. 8,251,307 < 8,351,207
3. 8,351,207 > 8,315,207
4. 8,351,207 < 8,351,702
---
Let me know if you'd like this formatted for printing or as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of 7 digit place value worksheet.