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, even/odd identification, number line placement, expanded form, and comparison.
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets: 7 Digits | Place value worksheets, Grade 5 ...
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets: 7 Digits | Place value worksheets, Grade 5 ...
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 answer is: odd
---
We'll determine the place value of each digit in 8,351,207:
Break down the number by place values:
```
8,351,207
= 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
```
Now, answer each question:
- The value of the digit 5 is:
→ The 5 is in the ten thousands place → 50,000
- The value of the digit 7 is:
→ The 7 is in the ones place → 7
- The value of the digit 3 is:
→ The 3 is in the hundred thousands place → 300,000
- The value of the digit 2 is:
→ The 2 is in the hundreds place → 200
- The value of the digit 8 is:
→ The 8 is in the millions place → 8,000,000
---
We are given a number line with:
- A point at 8,351,207
- A point at 8,351,210
- We need to fill in the missing numbers.
Since 8,351,210 is 3 more than 8,351,207, we can assume the number line increases by 1 each step.
So, the sequence should be:
→ ... → 8,351,205 → 8,351,206 → 8,351,207 → 8,351,208 → 8,351,209 → 8,351,210 → ...
So, the missing boxes (assuming two before and two after):
- Before 8,351,207:
- First box: 8,351,205
- Second box: 8,351,206
- After 8,351,207:
- Third box: 8,351,208
- Fourth box: 8,351,209
✔ So, the number line becomes:
```
[8,351,205] → [8,351,206] → [8,351,207] → [8,351,208] → [8,351,209] → [8,351,210]
```
---
Expanded form means writing the number as the sum of its place values.
8,351,207 = 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
But since the blank is likely for the non-zero digits:
✔ So:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
(We skip the 0 in tens place.)
---
- 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 each pair:
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
→ 8,351,207 > 8,315,207 → ✔ >
4. 8,351,207 vs 8,351,702
→ Compare digit by digit:
- Millions: same (8)
- Hundred thousands: same (3)
- Ten thousands: same (5)
- Thousands: same (1)
- Hundreds: 2 vs 7 → 2 < 7
→ So, 8,351,207 < 8,351,702 → ✔ <
---
#### Top Section
- The special number is: 8,351,207
- Even / odd → odd
#### 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
#### Number Line
Fill in:
- Left of 8,351,207: 8,351,205, 8,351,206
- Right of 8,351,207: 8,351,208, 8,351,209
#### 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 as a printable answer sheet!
---
Step 1: Identify the special number
The special number is:
8,351,207
---
Step 2: Determine if the number is 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 answer is: odd
---
Step 3: Value of each digit
We'll determine the place value of each digit in 8,351,207:
Break down the number by place values:
```
8,351,207
= 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
```
Now, answer each question:
- The value of the digit 5 is:
→ The 5 is in the ten thousands place → 50,000
- The value of the digit 7 is:
→ The 7 is in the ones place → 7
- The value of the digit 3 is:
→ The 3 is in the hundred thousands place → 300,000
- The value of the digit 2 is:
→ The 2 is in the hundreds place → 200
- The value of the digit 8 is:
→ The 8 is in the millions place → 8,000,000
---
Step 4: Fill in the empty boxes on the number line
We are given a number line with:
- A point at 8,351,207
- A point at 8,351,210
- We need to fill in the missing numbers.
Since 8,351,210 is 3 more than 8,351,207, we can assume the number line increases by 1 each step.
So, the sequence should be:
→ ... → 8,351,205 → 8,351,206 → 8,351,207 → 8,351,208 → 8,351,209 → 8,351,210 → ...
So, the missing boxes (assuming two before and two after):
- Before 8,351,207:
- First box: 8,351,205
- Second box: 8,351,206
- After 8,351,207:
- Third box: 8,351,208
- Fourth box: 8,351,209
✔ So, the number line becomes:
```
[8,351,205] → [8,351,206] → [8,351,207] → [8,351,208] → [8,351,209] → [8,351,210]
```
---
Step 5: Write the number in expanded form
Expanded form means writing the number as the sum of its place values.
8,351,207 = 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
But since the blank is likely for the non-zero digits:
✔ So:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
(We skip the 0 in tens place.)
---
Step 6: Add or subtract from the number
- 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 7: Compare the numbers using <, >, or =
Compare each pair:
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
→ 8,351,207 > 8,315,207 → ✔ >
4. 8,351,207 vs 8,351,702
→ Compare digit by digit:
- Millions: same (8)
- Hundred thousands: same (3)
- Ten thousands: same (5)
- Thousands: same (1)
- Hundreds: 2 vs 7 → 2 < 7
→ So, 8,351,207 < 8,351,702 → ✔ <
---
✔ Final Answers
#### Top Section
- The special number is: 8,351,207
- Even / odd → odd
#### 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
#### Number Line
Fill in:
- Left of 8,351,207: 8,351,205, 8,351,206
- Right of 8,351,207: 8,351,208, 8,351,209
#### 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 as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet number lines.