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
I'll work through this step by step to solve all the problems on this worksheet.
Step 1: Identify the special number
The special number is: 8,351,207
Step 2: Find the value of each digit
Let me identify the place value of each digit in 8,351,207:
- 8 is in the millions place = 8,000,000
- 3 is in the hundred thousands place = 300,000
- 5 is in the ten thousands place = 50,000
- 1 is in the thousands place = 1,000
- 2 is in the hundreds place = 200
- 0 is in the tens place = 0
- 7 is in the ones place = 7
So:
- The value of digit 5 = 50,000
- The value of digit 7 = 7
- The value of digit 3 = 300,000
- The value of digit 2 = 200
- The value of digit 8 = 8,000,000
Step 3: Determine if even or odd
A number is even if it ends in 0, 2, 4, 6, or 8.
A number is odd if it ends in 1, 3, 5, 7, or 9.
8,351,207 ends in 7, so it is ODD.
Step 4: Fill in the number line boxes
Looking at the pattern: 8,351,207 and 8,351,210 are shown.
The difference is 8,351,210 - 8,351,207 = 3
So the numbers increase by 3 each time:
- Before 8,351,207: 8,351,207 - 3 = 8,351,204
- After 8,351,207: 8,351,207 + 3 = 8,351,210 (already given)
- After that: 8,351,210 + 3 = 8,351,213
- After that: 8,351,213 + 3 = 8,351,216
Wait, let me check the number line again. It shows:
□ ← □ ← 8,351,207 → □ → □ → 8,351,210
So there are 2 boxes before 8,351,207 and 2 boxes after, ending at 8,351,210.
From 8,351,207 to 8,351,210 is a difference of 3, and there are 3 spaces between them.
So each step is 3 ÷ 3 = 1
Let me recount: 8,351,207 → box → box → 8,351,210
That's 2 steps from 8,351,207 to 8,351,210, so each step is 3 ÷ 2... that doesn't work evenly.
Let me look more carefully. The arrows show:
← □ ← □ ← 8,351,207 → □ → □ → 8,351,210
So we have: box, box, 8,351,207, box, box, 8,351,210
That's 5 intervals total.
8,351,210 - 8,351,207 = 3
But there are only 2 intervals between them (the two boxes).
Actually, I think I'm overcomplicating this. Let me count the spaces:
From left to right: box, box, 8,351,207, box, box, 8,351,210
Between 8,351,207 and 8,351,210 there are 2 boxes, meaning 3 intervals.
3 ÷ 3 = 1 per interval.
So going forward from 8,351,207:
- First box: 8,351,207 + 1 = 8,351,208
- Second box: 8,351,208 + 1 = 8,351,209
- Then 8,351,210 ✓
Going backward from 8,351,207:
- First box: 8,351,207 - 1 = 8,351,206
- Second box: 8,351,206 - 1 = 8,351,205
So the sequence is: 8,351,205, 8,351,206, 8,351,207, 8,351,208, 8,351,209, 8,351,210
Step 5: Write in expanded form
8,351,207 = 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
Or more simply: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
Step 6: Calculate the differences
- 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 using <, >, or =
1. 8,513,207 vs 8,351,207
Looking at the hundred thousands place: 5 vs 3
5 > 3, so 8,513,207 > 8,351,207
2. 8,251,307 vs 8,351,207
Looking at the hundred thousands place: 2 vs 3
2 < 3, so 8,251,307 < 8,351,207
3. 8,351,207 vs 8,315,207
Looking at the ten thousands place: 5 vs 1
5 > 1, so 8,351,207 > 8,315,207
4. 8,351,207 vs 8,351,702
Looking at the hundreds place: 2 vs 7
2 < 7, so 8,351,207 < 8,351,702
Let me double-check my calculations:
Digit values:
- 5 in 8,351,207 is in the ten thousands place: 50,000 ✓
- 7 is in the ones place: 7 ✓
- 3 is in the hundred thousands place: 300,000 ✓
- 2 is in the hundreds place: 200 ✓
- 8 is in the millions place: 8,000,000 ✓
Number line: Increasing by 1 each time ✓
Expanded form: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7 ✓
Calculations:
- 8,351,207 - 1,000,000 = 7,351,207 ✓
- 8,351,207 + 1,000 = 8,352,207 ✓
- 8,351,207 - 100,000 = 8,251,207 ✓
- 8,351,207 + 10 = 8,351,217 ✓
- 8,351,207 - 1 = 8,351,206 ✓
Comparisons:
- 8,513,207 > 8,351,207 ✓
- 8,251,307 < 8,351,207 ✓
- 8,351,207 > 8,315,207 ✓
- 8,351,207 < 8,351,702 ✓
All answers verified!
Final Answer:
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
even or odd: odd
Number line (from left to right): 8,351,205, 8,351,206, 8,351,208, 8,351,209
Expanded form: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
1,000,000 less than 8,351,207 is: 7,351,207
1,000 more than 8,351,207 is: 8,352,207
100,000 less than 8,351,207 is: 8,251,207
10 more than 8,351,207 is: 8,351,217
1 less than 8,351,207 is: 8,351,206
Comparisons:
8,513,207 > 8,351,207
8,251,307 < 8,351,207
8,351,207 > 8,315,207
8,351,207 < 8,351,702
Step 1: Identify the special number
The special number is: 8,351,207
Step 2: Find the value of each digit
Let me identify the place value of each digit in 8,351,207:
- 8 is in the millions place = 8,000,000
- 3 is in the hundred thousands place = 300,000
- 5 is in the ten thousands place = 50,000
- 1 is in the thousands place = 1,000
- 2 is in the hundreds place = 200
- 0 is in the tens place = 0
- 7 is in the ones place = 7
So:
- The value of digit 5 = 50,000
- The value of digit 7 = 7
- The value of digit 3 = 300,000
- The value of digit 2 = 200
- The value of digit 8 = 8,000,000
Step 3: Determine if even or odd
A number is even if it ends in 0, 2, 4, 6, or 8.
A number is odd if it ends in 1, 3, 5, 7, or 9.
8,351,207 ends in 7, so it is ODD.
Step 4: Fill in the number line boxes
Looking at the pattern: 8,351,207 and 8,351,210 are shown.
The difference is 8,351,210 - 8,351,207 = 3
So the numbers increase by 3 each time:
- Before 8,351,207: 8,351,207 - 3 = 8,351,204
- After 8,351,207: 8,351,207 + 3 = 8,351,210 (already given)
- After that: 8,351,210 + 3 = 8,351,213
- After that: 8,351,213 + 3 = 8,351,216
Wait, let me check the number line again. It shows:
□ ← □ ← 8,351,207 → □ → □ → 8,351,210
So there are 2 boxes before 8,351,207 and 2 boxes after, ending at 8,351,210.
From 8,351,207 to 8,351,210 is a difference of 3, and there are 3 spaces between them.
So each step is 3 ÷ 3 = 1
Let me recount: 8,351,207 → box → box → 8,351,210
That's 2 steps from 8,351,207 to 8,351,210, so each step is 3 ÷ 2... that doesn't work evenly.
Let me look more carefully. The arrows show:
← □ ← □ ← 8,351,207 → □ → □ → 8,351,210
So we have: box, box, 8,351,207, box, box, 8,351,210
That's 5 intervals total.
8,351,210 - 8,351,207 = 3
But there are only 2 intervals between them (the two boxes).
Actually, I think I'm overcomplicating this. Let me count the spaces:
From left to right: box, box, 8,351,207, box, box, 8,351,210
Between 8,351,207 and 8,351,210 there are 2 boxes, meaning 3 intervals.
3 ÷ 3 = 1 per interval.
So going forward from 8,351,207:
- First box: 8,351,207 + 1 = 8,351,208
- Second box: 8,351,208 + 1 = 8,351,209
- Then 8,351,210 ✓
Going backward from 8,351,207:
- First box: 8,351,207 - 1 = 8,351,206
- Second box: 8,351,206 - 1 = 8,351,205
So the sequence is: 8,351,205, 8,351,206, 8,351,207, 8,351,208, 8,351,209, 8,351,210
Step 5: Write in expanded form
8,351,207 = 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
Or more simply: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
Step 6: Calculate the differences
- 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 using <, >, or =
1. 8,513,207 vs 8,351,207
Looking at the hundred thousands place: 5 vs 3
5 > 3, so 8,513,207 > 8,351,207
2. 8,251,307 vs 8,351,207
Looking at the hundred thousands place: 2 vs 3
2 < 3, so 8,251,307 < 8,351,207
3. 8,351,207 vs 8,315,207
Looking at the ten thousands place: 5 vs 1
5 > 1, so 8,351,207 > 8,315,207
4. 8,351,207 vs 8,351,702
Looking at the hundreds place: 2 vs 7
2 < 7, so 8,351,207 < 8,351,702
Let me double-check my calculations:
Digit values:
- 5 in 8,351,207 is in the ten thousands place: 50,000 ✓
- 7 is in the ones place: 7 ✓
- 3 is in the hundred thousands place: 300,000 ✓
- 2 is in the hundreds place: 200 ✓
- 8 is in the millions place: 8,000,000 ✓
Number line: Increasing by 1 each time ✓
Expanded form: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7 ✓
Calculations:
- 8,351,207 - 1,000,000 = 7,351,207 ✓
- 8,351,207 + 1,000 = 8,352,207 ✓
- 8,351,207 - 100,000 = 8,251,207 ✓
- 8,351,207 + 10 = 8,351,217 ✓
- 8,351,207 - 1 = 8,351,206 ✓
Comparisons:
- 8,513,207 > 8,351,207 ✓
- 8,251,307 < 8,351,207 ✓
- 8,351,207 > 8,315,207 ✓
- 8,351,207 < 8,351,702 ✓
All answers verified!
Final Answer:
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
even or odd: odd
Number line (from left to right): 8,351,205, 8,351,206, 8,351,208, 8,351,209
Expanded form: 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
1,000,000 less than 8,351,207 is: 7,351,207
1,000 more than 8,351,207 is: 8,352,207
100,000 less than 8,351,207 is: 8,251,207
10 more than 8,351,207 is: 8,351,217
1 less than 8,351,207 is: 8,351,206
Comparisons:
8,513,207 > 8,351,207
8,251,307 < 8,351,207
8,351,207 > 8,315,207
8,351,207 < 8,351,702
Parent Tip: Review the logic above to help your child master the concept of place value worksheet to millions.