Place Value Worksheets: 7 Digits - Free Printable
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Step-by-step solution for: Place Value Worksheets: 7 Digits
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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 image you described. The worksheet is titled "Special Number", and the special number given is:
> 8,351,207
---
We’ll analyze the number 8,351,207 by place value.
Break it down:
| 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:
→ The digit 5 is in the ten thousands place → 50,000
- The value of the digit 7 is:
→ The digit 7 is in the ones place → 7
- The value of the digit 3 is:
→ The digit 3 is in the hundred thousands place → 300,000
- The value of the digit 2 is:
→ The digit 2 is in the hundreds place → 200
- The value of the digit 8 is:
→ The digit 8 is in the millions place → 8,000,000
---
Look at the last digit (ones place): 7
Since 7 is odd → The number is odd
✔ Answer: odd
---
We are given:
```
[____] [____] ←→ 8,351,207 ←→ [____] [____] ←→ 8,351,210
```
So we need to fill in numbers before and after 8,351,207 and 8,351,210.
Let’s count forward and backward:
- Before 8,351,207:
- 8,351,206
- 8,351,205
- After 8,351,207:
- 8,351,208
- 8,351,209
Then:
- After 8,351,210:
- 8,351,211
- 8,351,212
But the number line shows:
```
[____] [____] ←→ 8,351,207 ←→ [____] [____] ←→ 8,351,210
```
So the sequence should be:
- Two numbers before 8,351,207:
→ 8,351,205 and 8,351,206
- Two numbers after 8,351,207:
→ 8,351,208 and 8,351,209
Then:
- One more after 8,351,210:
→ 8,351,211
But since the last box is after 8,351,210, and there are two boxes after 8,351,207, then:
Let’s assume the number line is:
```
[8,351,205] [8,351,206] ←→ 8,351,207 ←→ [8,351,208] [8,351,209] ←→ 8,351,210
```
Wait — but 8,351,210 is not adjacent to 8,351,209? Let’s check:
- 8,351,207
- 8,351,208
- 8,351,209
- 8,351,210
So yes, 8,351,209 comes before 8,351,210.
Therefore, the number line should be:
```
[8,351,205] [8,351,206] ←→ 8,351,207 ←→ [8,351,208] [8,351,209] ←→ 8,351,210
```
✔ So the boxes are:
- First two: 8,351,205 and 8,351,206
- Next two: 8,351,208 and 8,351,209
---
Use the place values:
8,351,207 =
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
So:
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
You can write it as:
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
(Zero can be omitted)
---
- 1,000,000 less than 8,351,207
→ 8,351,207 − 1,000,000 = 7,351,207
- 1,000 more than 8,351,207
→ 8,351,207 + 1,000 = 8,352,207
- 100,000 less than 8,351,207
→ 8,351,207 − 100,000 = 8,251,207
- 10 more than 8,351,207
→ 8,351,207 + 10 = 8,351,217
- 1 less than 8,351,207
→ 8,351,207 − 1 = 8,351,206
---
Compare these pairs:
1. 8,513,207 vs 8,351,207
→ 8,513,207 is greater → >
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
- 351,207 > 315,207 → so >
4. 8,351,207 vs 8,351,702
→ Compare digits:
- 8,351,207 vs 8,351,702
- Same up to thousands: 8,351,xxx
- 207 < 702 → so <
---
#### Part A: Digit Values
- Value of digit 5: 50,000
- Value of digit 7: 7
- Value of digit 3: 300,000
- Value of digit 2: 200
- Value of digit 8: 8,000,000
#### Even or Odd?
- Odd
#### Number Line
Fill in:
- Left side: 8,351,205, 8,351,206
- Right side: 8,351,208, 8,351,209
#### Expanded Form
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
#### Add/Subtract Problems
- 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
#### Comparison
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 as a printable answer sheet!
> 8,351,207
---
Step 1: Identify the value of each digit
We’ll analyze the number 8,351,207 by place value.
Break it down:
| 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:
→ The digit 5 is in the ten thousands place → 50,000
- The value of the digit 7 is:
→ The digit 7 is in the ones place → 7
- The value of the digit 3 is:
→ The digit 3 is in the hundred thousands place → 300,000
- The value of the digit 2 is:
→ The digit 2 is in the hundreds place → 200
- The value of the digit 8 is:
→ The digit 8 is in the millions place → 8,000,000
---
Step 2: Even or Odd?
Look at the last digit (ones place): 7
Since 7 is odd → The number is odd
✔ Answer: odd
---
Step 3: Fill in the empty boxes on the number line
We are given:
```
[____] [____] ←→ 8,351,207 ←→ [____] [____] ←→ 8,351,210
```
So we need to fill in numbers before and after 8,351,207 and 8,351,210.
Let’s count forward and backward:
- Before 8,351,207:
- 8,351,206
- 8,351,205
- After 8,351,207:
- 8,351,208
- 8,351,209
Then:
- After 8,351,210:
- 8,351,211
- 8,351,212
But the number line shows:
```
[____] [____] ←→ 8,351,207 ←→ [____] [____] ←→ 8,351,210
```
So the sequence should be:
- Two numbers before 8,351,207:
→ 8,351,205 and 8,351,206
- Two numbers after 8,351,207:
→ 8,351,208 and 8,351,209
Then:
- One more after 8,351,210:
→ 8,351,211
But since the last box is after 8,351,210, and there are two boxes after 8,351,207, then:
Let’s assume the number line is:
```
[8,351,205] [8,351,206] ←→ 8,351,207 ←→ [8,351,208] [8,351,209] ←→ 8,351,210
```
Wait — but 8,351,210 is not adjacent to 8,351,209? Let’s check:
- 8,351,207
- 8,351,208
- 8,351,209
- 8,351,210
So yes, 8,351,209 comes before 8,351,210.
Therefore, the number line should be:
```
[8,351,205] [8,351,206] ←→ 8,351,207 ←→ [8,351,208] [8,351,209] ←→ 8,351,210
```
✔ So the boxes are:
- First two: 8,351,205 and 8,351,206
- Next two: 8,351,208 and 8,351,209
---
Step 4: Write the number in expanded form
Use the place values:
8,351,207 =
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
So:
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
You can write it as:
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
(Zero can be omitted)
---
Step 5: Complete the "1,000,000 less than..." etc.
- 1,000,000 less than 8,351,207
→ 8,351,207 − 1,000,000 = 7,351,207
- 1,000 more than 8,351,207
→ 8,351,207 + 1,000 = 8,352,207
- 100,000 less than 8,351,207
→ 8,351,207 − 100,000 = 8,251,207
- 10 more than 8,351,207
→ 8,351,207 + 10 = 8,351,217
- 1 less than 8,351,207
→ 8,351,207 − 1 = 8,351,206
---
Step 6: Compare using <, >, or =
Compare these pairs:
1. 8,513,207 vs 8,351,207
→ 8,513,207 is greater → >
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
- 351,207 > 315,207 → so >
4. 8,351,207 vs 8,351,702
→ Compare digits:
- 8,351,207 vs 8,351,702
- Same up to thousands: 8,351,xxx
- 207 < 702 → so <
---
✔ Final Answers Summary:
#### Part A: Digit Values
- Value of digit 5: 50,000
- Value of digit 7: 7
- Value of digit 3: 300,000
- Value of digit 2: 200
- Value of digit 8: 8,000,000
#### Even or Odd?
- Odd
#### Number Line
Fill in:
- Left side: 8,351,205, 8,351,206
- Right side: 8,351,208, 8,351,209
#### Expanded Form
> 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
#### Add/Subtract Problems
- 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
#### Comparison
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 as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet seventh.