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 work through the worksheet step by step.
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The special number is: 8,351,207
We’ll go section by section.
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We need to find the value of each digit in 8,351,207.
Remember: The value of a digit = digit × its place value.
Break down the number:
- 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 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
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Look at the last digit: 7
If last digit is 0, 2, 4, 6, or 8 → even
If last digit is 1, 3, 5, 7, or 9 → odd
→ So, odd
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We have:
[____] ←→ [____] ←→ [8,351,207] ←→ [____] ←→ [____] ←→ [8,351,210]
Notice: From 8,351,207 to 8,351,210 is +3.
So likely, each box increases by 1.
Let’s fill from left to right:
Start before 8,351,207:
- Box before 8,351,207 → 8,351,206
- Before that → 8,351,205
- After 8,351,207 → 8,351,208
- Then → 8,351,209
- Then → 8,351,210 (already given)
So boxes should be filled as:
Left to right:
8,351,205, 8,351,206, 8,351,208, 8,351,209
Wait — let’s check spacing.
From 8,351,205 to 8,351,210 is 5 steps? But we have 4 boxes between start and end? Let’s count positions:
Positions:
1. First box (leftmost)
2. Second box
3. 8,351,207 (given)
4. Fourth box
5. Fifth box
6. 8,351,210 (given)
So from position 1 to 6, with 207 and 210 fixed.
Difference between 207 and 210 is 3.
That means from position 3 to 6 is 3 steps → so each step is +1.
Therefore:
Position 1: 8,351,205
Position 2: 8,351,206
Position 3: 8,351,207 (given)
Position 4: 8,351,208
Position 5: 8,351,209
Position 6: 8,351,210 (given)
Perfect.
So fill boxes:
8,351,205, 8,351,206, 8,351,208, 8,351,209
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Write 8,351,207 in expanded form.
That means: break it into place values.
= 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
But since 0 doesn’t add anything, we can skip it.
So:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
There are 6 blanks with plus signs → perfect.
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Given number: 8,351,207
1. 1,000,000 less → subtract 1,000,000
→ 8,351,207 - 1,000,000 = 7,351,207
2. 1,000 more → add 1,000
→ 8,351,207 + 1,000 = 8,352,207
3. 100,000 less → subtract 100,000
→ 8,351,207 - 100,000 = 8,251,207
4. 10 more → add 10
→ 8,351,207 + 10 = 8,351,217
5. 1 less → subtract 1
→ 8,351,207 - 1 = 8,351,206
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Compare pairs:
1. 8,513,207 vs 8,351,207
→ Look at millions: both 8 → same
→ Hundred thousands: 5 vs 3 → 5 > 3 → so 8,513,207 > 8,351,207
2. 8,251,307 vs 8,351,207
→ Millions: same
→ Hundred thousands: 2 vs 3 → 2 < 3 → so 8,251,307 < 8,351,207
3. 8,351,207 vs 8,315,207
→ Millions: same
→ Hundred thousands: same (3)
→ Ten thousands: same (5 vs 1? Wait — 8,351,207 vs 8,315,207)
Wait — let’s write them aligned:
8,351,207
8,315,207
Millions: 8 = 8
Hundred thousands: 3 = 3
Ten thousands: 5 vs 1 → 5 > 1 → so 8,351,207 > 8,315,207
4. 8,351,207 vs 8,351,702
→ Same up to thousands: 8,351,xxx
→ Hundreds: 2 vs 7 → 2 < 7 → so 8,351,207 < 8,351,702
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Now, let’s compile all answers clearly.
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Final Answer:
The special number is: 8,351,207
even or odd? → odd
Place values:
- 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
Number line boxes (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
More/Less:
- 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
Compare:
- 8,513,207 > 8,351,207
- 8,251,307 < 8,351,207
- 8,351,207 > 8,315,207
- 8,351,207 < 8,351,702
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Final Answer:
The special number is 8,351,207. It is odd.
Place values: 5 = 50,000; 7 = 7; 3 = 300,000; 2 = 200; 8 = 8,000,000.
Number line: 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.
More/Less: 7,351,207; 8,352,207; 8,251,207; 8,351,217; 8,351,206.
Compare: >, <, >, <.
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The special number is: 8,351,207
We’ll go section by section.
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Section 1: Place Value Questions
We need to find the value of each digit in 8,351,207.
Remember: The value of a digit = digit × its place value.
Break down the number:
- 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 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
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Section 2: Even or Odd?
Look at the last digit: 7
If last digit is 0, 2, 4, 6, or 8 → even
If last digit is 1, 3, 5, 7, or 9 → odd
→ So, odd
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Section 3: Number Line
We have:
[____] ←→ [____] ←→ [8,351,207] ←→ [____] ←→ [____] ←→ [8,351,210]
Notice: From 8,351,207 to 8,351,210 is +3.
So likely, each box increases by 1.
Let’s fill from left to right:
Start before 8,351,207:
- Box before 8,351,207 → 8,351,206
- Before that → 8,351,205
- After 8,351,207 → 8,351,208
- Then → 8,351,209
- Then → 8,351,210 (already given)
So boxes should be filled as:
Left to right:
8,351,205, 8,351,206, 8,351,208, 8,351,209
Wait — let’s check spacing.
From 8,351,205 to 8,351,210 is 5 steps? But we have 4 boxes between start and end? Let’s count positions:
Positions:
1. First box (leftmost)
2. Second box
3. 8,351,207 (given)
4. Fourth box
5. Fifth box
6. 8,351,210 (given)
So from position 1 to 6, with 207 and 210 fixed.
Difference between 207 and 210 is 3.
That means from position 3 to 6 is 3 steps → so each step is +1.
Therefore:
Position 1: 8,351,205
Position 2: 8,351,206
Position 3: 8,351,207 (given)
Position 4: 8,351,208
Position 5: 8,351,209
Position 6: 8,351,210 (given)
Perfect.
So fill boxes:
8,351,205, 8,351,206, 8,351,208, 8,351,209
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Section 4: Expanded Form
Write 8,351,207 in expanded form.
That means: break it into place values.
= 8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 0 + 7
But since 0 doesn’t add anything, we can skip it.
So:
8,000,000 + 300,000 + 50,000 + 1,000 + 200 + 7
There are 6 blanks with plus signs → perfect.
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Section 5: More/Less Problems
Given number: 8,351,207
1. 1,000,000 less → subtract 1,000,000
→ 8,351,207 - 1,000,000 = 7,351,207
2. 1,000 more → add 1,000
→ 8,351,207 + 1,000 = 8,352,207
3. 100,000 less → subtract 100,000
→ 8,351,207 - 100,000 = 8,251,207
4. 10 more → add 10
→ 8,351,207 + 10 = 8,351,217
5. 1 less → subtract 1
→ 8,351,207 - 1 = 8,351,206
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Section 6: Compare Using <, >, or =
Compare pairs:
1. 8,513,207 vs 8,351,207
→ Look at millions: both 8 → same
→ Hundred thousands: 5 vs 3 → 5 > 3 → so 8,513,207 > 8,351,207
2. 8,251,307 vs 8,351,207
→ Millions: same
→ Hundred thousands: 2 vs 3 → 2 < 3 → so 8,251,307 < 8,351,207
3. 8,351,207 vs 8,315,207
→ Millions: same
→ Hundred thousands: same (3)
→ Ten thousands: same (5 vs 1? Wait — 8,351,207 vs 8,315,207)
Wait — let’s write them aligned:
8,351,207
8,315,207
Millions: 8 = 8
Hundred thousands: 3 = 3
Ten thousands: 5 vs 1 → 5 > 1 → so 8,351,207 > 8,315,207
4. 8,351,207 vs 8,351,702
→ Same up to thousands: 8,351,xxx
→ Hundreds: 2 vs 7 → 2 < 7 → so 8,351,207 < 8,351,702
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Now, let’s compile all answers clearly.
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Final Answer:
The special number is: 8,351,207
even or odd? → odd
Place values:
- 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
Number line boxes (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
More/Less:
- 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
Compare:
- 8,513,207 > 8,351,207
- 8,251,307 < 8,351,207
- 8,351,207 > 8,315,207
- 8,351,207 < 8,351,702
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Final Answer:
The special number is 8,351,207. It is odd.
Place values: 5 = 50,000; 7 = 7; 3 = 300,000; 2 = 200; 8 = 8,000,000.
Number line: 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.
More/Less: 7,351,207; 8,352,207; 8,251,207; 8,351,217; 8,351,206.
Compare: >, <, >, <.
Parent Tip: Review the logic above to help your child master the concept of place value to millions worksheet.