Place Value Worksheet - up to 10 million - Free Printable
Educational worksheet: Place Value Worksheet - up to 10 million. Download and print for classroom or home learning activities.
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Step-by-step solution for: Place Value Worksheet - up to 10 million
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheet - up to 10 million
Let’s go through each part of the worksheet step by step.
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Part 1: Write the place value of the underlined digit
We need to look at each number and find what place the underlined digit is in — like ones, tens, hundreds, thousands, etc.
1. 82,163 → The 2 is underlined. It’s in the ten thousands place? Wait — let’s count from right:
- 3 = ones
- 6 = tens
- 1 = hundreds
- 2 = thousands ← yes!
- 8 = ten thousands
→ So 2 is in the thousands place.
2. 46,375 → 6 is underlined.
- 5 = ones
- 7 = tens
- 3 = hundreds
- 6 = thousands
- 4 = ten thousands
→ 6 is in the thousands place.
3. 327,186 → 1 is underlined.
- 6 = ones
- 8 = tens
- 1 = hundreds ← yes!
- 7 = thousands
- 2 = ten thousands
- 3 = hundred thousands
→ 1 is in the hundreds place.
4. 412,846 → 1 is underlined.
- 6 = ones
- 4 = tens
- 8 = hundreds
- 2 = thousands
- 1 = ten thousands ← yes!
- 4 = hundred thousands
→ 1 is in the ten thousands place.
5. 84,716 → 7 is underlined.
- 6 = ones
- 1 = tens
- 7 = hundreds ← yes!
- 4 = thousands
- 8 = ten thousands
→ 7 is in the hundreds place.
6. 761,489 → 1 is underlined.
- 9 = ones
- 8 = tens
- 4 = hundreds
- 1 = thousands ← yes!
- 6 = ten thousands
- 7 = hundred thousands
→ 1 is in the thousands place.
7. 412,685 → 1 is underlined.
- 5 = ones
- 8 = tens
- 6 = hundreds
- 2 = thousands
- 1 = ten thousands ← yes!
- 4 = hundred thousands
→ 1 is in the ten thousands place.
8. 49,321 → 9 is underlined.
- 1 = ones
- 2 = tens
- 3 = hundreds
- 9 = thousands ← yes!
- 4 = ten thousands
→ 9 is in the thousands place.
9. 385,029 → 5 is underlined.
- 9 = ones
- 2 = tens
- 0 = hundreds
- 5 = thousands ← yes!
- 8 = ten thousands
- 3 = hundred thousands
→ 5 is in the thousands place.
10. 637,958 → 6 is underlined.
- 8 = ones
- 5 = tens
- 9 = hundreds
- 7 = thousands
- 3 = ten thousands
- 6 = hundred thousands ← yes!
→ 6 is in the hundred thousands place.
✔ Part 1 Answers:
- 82,163 → thousands
- 46,375 → thousands
- 327,186 → hundreds
- 412,846 → ten thousands
- 84,716 → hundreds
- 761,489 → thousands
- 412,685 → ten thousands
- 49,321 → thousands
- 385,029 → thousands
- 637,958 → hundred thousands
---
Part 2: Write these numbers in expanded form
Expanded form means breaking the number into its place values.
Example given:
84,136 = 80,000 + 4,000 + 100 + 30 + 6
Now do the others:
1. 137,295
- 100,000 (hundred thousands)
- 30,000 (ten thousands)
- 7,000 (thousands)
- 200 (hundreds)
- 90 (tens)
- 5 (ones)
→ 100,000 + 30,000 + 7,000 + 200 + 90 + 5
2. 67,329
- 60,000
- 7,000
- 300
- 20
- 9
→ 60,000 + 7,000 + 300 + 20 + 9
3. 894,326
- 800,000
- 90,000
- 4,000
- 300
- 20
- 6
→ 800,000 + 90,000 + 4,000 + 300 + 20 + 6
✔ Part 2 Answers:
- 137,295 = 100,000 + 30,000 + 7,000 + 200 + 90 + 5
- 67,329 = 60,000 + 7,000 + 300 + 20 + 9
- 894,326 = 800,000 + 90,000 + 4,000 + 300 + 20 + 6
---
Part 3: Write these numbers in standard form
Standard form means adding up the parts to get the full number.
Example:
20,000 + 7,000 + 800 + 20 + 4 = 27,824
Now do the rest:
1. 80,000 + 4,000 + 900 + 10 + 6
- 80,000 + 4,000 = 84,000
- 84,000 + 900 = 84,900
- 84,900 + 10 = 84,910
- 84,910 + 6 = 84,916
→ 84,916
2. 200,000 + 90,000 + 5,000 + 200 + 30 + 8
- 200,000 + 90,000 = 290,000
- 290,000 + 5,000 = 295,000
- 295,000 + 200 = 295,200
- 295,200 + 30 = 295,230
- 295,230 + 8 = 295,238
→ 295,238
3. 800,000 + 7,000 + 300 + 50 + 6
- 800,000 + 7,000 = 807,000
- 807,000 + 300 = 807,300
- 807,300 + 50 = 807,350
- 807,350 + 6 = 807,356
→ 807,356
4. 500,000 + 30,000 + 800 + 40 + 2
- 500,000 + 30,000 = 530,000
- 530,000 + 800 = 530,800
- 530,800 + 40 = 530,840
- 530,840 + 2 = 530,842
→ 530,842
✔ Part 3 Answers:
- 80,000 + 4,000 + 900 + 10 + 6 = 84,916
- 200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238
- 800,000 + 7,000 + 300 + 50 + 6 = 807,356
- 500,000 + 30,000 + 800 + 40 + 2 = 530,842
---
Part 4: Fill in the missing parts in these numbers
This is asking for how many thousands, hundreds, tens, and ones are in each number.
Note: “Thousands” here likely means the digit(s) in the thousands place(s), but since it says “____ thousands”, we should give the actual number of thousands (i.e., the value divided by 1000).
Wait — let’s check the example format:
It says:
45,372 = ____ thousands ____ hundreds ____ tens ____ ones
But 45,372 has:
- 45 thousands? Or just 5 thousands? Actually, in place value breakdown, we usually break it as:
- 4 ten thousands → which is 40 thousands
- 5 thousands
→ So total thousands = 45? But that might be confusing.
Actually, looking at the structure, it’s probably expecting the digits in each place, not the total value.
Wait — let’s think differently. In many worksheets, when they say “____ thousands”, they mean the digit in the thousands place.
For example:
45,372
- Thousands place: 5 → so “5 thousands”
- Hundreds place: 3 → “3 hundreds”
- Tens place: 7 → “7 tens”
- Ones place: 2 → “2 ones”
But wait — 45,372 is forty-five thousand, three hundred seventy-two. So the “thousands” part is 45, not just 5.
Hmm — this is ambiguous. Let’s look at the second number: 176,437
If we break it down by place:
- Hundred thousands: 1
- Ten thousands: 7
- Thousands: 6
→ So if they want “____ thousands”, do they mean the entire thousands group (176)? Or just the digit in the thousands place (6)?
Looking at the first example: 45,372
If we write it as:
45,372 = 45 thousands + 3 hundreds + 7 tens + 2 ones → that makes sense numerically.
Because:
45 × 1000 = 45,000
3 × 100 = 300
7 × 10 = 70
2 × 1 = 2
Total: 45,000 + 300 + 70 + 2 = 45,372 ✔
Similarly, 176,437:
176 × 1000 = 176,000
4 × 100 = 400
3 × 10 = 30
7 × 1 = 7
Total: 176,000 + 400 + 30 + 7 = 176,437 ✔
And 962,508:
962 × 1000 = 962,000
5 × 100 = 500
0 × 10 = 0
8 × 1 = 8
Total: 962,000 + 500 + 0 + 8 = 962,508 ✔
So yes — “____ thousands” means the number formed by the digits to the left of the hundreds place, i.e., the whole number of thousands.
So:
1. 45,372
- Thousands: 45
- Hundreds: 3
- Tens: 7
- Ones: 2
2. 176,437
- Thousands: 176
- Hundreds: 4
- Tens: 3
- Ones: 7
3. 962,508
- Thousands: 962
- Hundreds: 5
- Tens: 0
- Ones: 8
✔ Part 4 Answers:
- 45,372 = 45 thousands 3 hundreds 7 tens 2 ones
- 176,437 = 176 thousands 4 hundreds 3 tens 7 ones
- 962,508 = 962 thousands 5 hundreds 0 tens 8 ones
---
Final Answer:
Part 1:
- 82,163 → thousands
- 46,375 → thousands
- 327,186 → hundreds
- 412,846 → ten thousands
- 84,716 → hundreds
- 761,489 → thousands
- 412,685 → ten thousands
- 49,321 → thousands
- 385,029 → thousands
- 637,958 → hundred thousands
Part 2:
- 137,295 = 100,000 + 30,000 + 7,000 + 200 + 90 + 5
- 67,329 = 60,000 + 7,000 + 300 + 20 + 9
- 894,326 = 800,000 + 90,000 + 4,000 + 300 + 20 + 6
Part 3:
- 80,000 + 4,000 + 900 + 10 + 6 = 84,916
- 200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238
- 800,000 + 7,000 + 300 + 50 + 6 = 807,356
- 500,000 + 30,000 + 800 + 40 + 2 = 530,842
Part 4:
- 45,372 = 45 thousands 3 hundreds 7 tens 2 ones
- 176,437 = 176 thousands 4 hundreds 3 tens 7 ones
- 962,508 = 962 thousands 5 hundreds 0 tens 8 ones
---
Part 1: Write the place value of the underlined digit
We need to look at each number and find what place the underlined digit is in — like ones, tens, hundreds, thousands, etc.
1. 82,163 → The 2 is underlined. It’s in the ten thousands place? Wait — let’s count from right:
- 3 = ones
- 6 = tens
- 1 = hundreds
- 2 = thousands ← yes!
- 8 = ten thousands
→ So 2 is in the thousands place.
2. 46,375 → 6 is underlined.
- 5 = ones
- 7 = tens
- 3 = hundreds
- 6 = thousands
- 4 = ten thousands
→ 6 is in the thousands place.
3. 327,186 → 1 is underlined.
- 6 = ones
- 8 = tens
- 1 = hundreds ← yes!
- 7 = thousands
- 2 = ten thousands
- 3 = hundred thousands
→ 1 is in the hundreds place.
4. 412,846 → 1 is underlined.
- 6 = ones
- 4 = tens
- 8 = hundreds
- 2 = thousands
- 1 = ten thousands ← yes!
- 4 = hundred thousands
→ 1 is in the ten thousands place.
5. 84,716 → 7 is underlined.
- 6 = ones
- 1 = tens
- 7 = hundreds ← yes!
- 4 = thousands
- 8 = ten thousands
→ 7 is in the hundreds place.
6. 761,489 → 1 is underlined.
- 9 = ones
- 8 = tens
- 4 = hundreds
- 1 = thousands ← yes!
- 6 = ten thousands
- 7 = hundred thousands
→ 1 is in the thousands place.
7. 412,685 → 1 is underlined.
- 5 = ones
- 8 = tens
- 6 = hundreds
- 2 = thousands
- 1 = ten thousands ← yes!
- 4 = hundred thousands
→ 1 is in the ten thousands place.
8. 49,321 → 9 is underlined.
- 1 = ones
- 2 = tens
- 3 = hundreds
- 9 = thousands ← yes!
- 4 = ten thousands
→ 9 is in the thousands place.
9. 385,029 → 5 is underlined.
- 9 = ones
- 2 = tens
- 0 = hundreds
- 5 = thousands ← yes!
- 8 = ten thousands
- 3 = hundred thousands
→ 5 is in the thousands place.
10. 637,958 → 6 is underlined.
- 8 = ones
- 5 = tens
- 9 = hundreds
- 7 = thousands
- 3 = ten thousands
- 6 = hundred thousands ← yes!
→ 6 is in the hundred thousands place.
✔ Part 1 Answers:
- 82,163 → thousands
- 46,375 → thousands
- 327,186 → hundreds
- 412,846 → ten thousands
- 84,716 → hundreds
- 761,489 → thousands
- 412,685 → ten thousands
- 49,321 → thousands
- 385,029 → thousands
- 637,958 → hundred thousands
---
Part 2: Write these numbers in expanded form
Expanded form means breaking the number into its place values.
Example given:
84,136 = 80,000 + 4,000 + 100 + 30 + 6
Now do the others:
1. 137,295
- 100,000 (hundred thousands)
- 30,000 (ten thousands)
- 7,000 (thousands)
- 200 (hundreds)
- 90 (tens)
- 5 (ones)
→ 100,000 + 30,000 + 7,000 + 200 + 90 + 5
2. 67,329
- 60,000
- 7,000
- 300
- 20
- 9
→ 60,000 + 7,000 + 300 + 20 + 9
3. 894,326
- 800,000
- 90,000
- 4,000
- 300
- 20
- 6
→ 800,000 + 90,000 + 4,000 + 300 + 20 + 6
✔ Part 2 Answers:
- 137,295 = 100,000 + 30,000 + 7,000 + 200 + 90 + 5
- 67,329 = 60,000 + 7,000 + 300 + 20 + 9
- 894,326 = 800,000 + 90,000 + 4,000 + 300 + 20 + 6
---
Part 3: Write these numbers in standard form
Standard form means adding up the parts to get the full number.
Example:
20,000 + 7,000 + 800 + 20 + 4 = 27,824
Now do the rest:
1. 80,000 + 4,000 + 900 + 10 + 6
- 80,000 + 4,000 = 84,000
- 84,000 + 900 = 84,900
- 84,900 + 10 = 84,910
- 84,910 + 6 = 84,916
→ 84,916
2. 200,000 + 90,000 + 5,000 + 200 + 30 + 8
- 200,000 + 90,000 = 290,000
- 290,000 + 5,000 = 295,000
- 295,000 + 200 = 295,200
- 295,200 + 30 = 295,230
- 295,230 + 8 = 295,238
→ 295,238
3. 800,000 + 7,000 + 300 + 50 + 6
- 800,000 + 7,000 = 807,000
- 807,000 + 300 = 807,300
- 807,300 + 50 = 807,350
- 807,350 + 6 = 807,356
→ 807,356
4. 500,000 + 30,000 + 800 + 40 + 2
- 500,000 + 30,000 = 530,000
- 530,000 + 800 = 530,800
- 530,800 + 40 = 530,840
- 530,840 + 2 = 530,842
→ 530,842
✔ Part 3 Answers:
- 80,000 + 4,000 + 900 + 10 + 6 = 84,916
- 200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238
- 800,000 + 7,000 + 300 + 50 + 6 = 807,356
- 500,000 + 30,000 + 800 + 40 + 2 = 530,842
---
Part 4: Fill in the missing parts in these numbers
This is asking for how many thousands, hundreds, tens, and ones are in each number.
Note: “Thousands” here likely means the digit(s) in the thousands place(s), but since it says “____ thousands”, we should give the actual number of thousands (i.e., the value divided by 1000).
Wait — let’s check the example format:
It says:
45,372 = ____ thousands ____ hundreds ____ tens ____ ones
But 45,372 has:
- 45 thousands? Or just 5 thousands? Actually, in place value breakdown, we usually break it as:
- 4 ten thousands → which is 40 thousands
- 5 thousands
→ So total thousands = 45? But that might be confusing.
Actually, looking at the structure, it’s probably expecting the digits in each place, not the total value.
Wait — let’s think differently. In many worksheets, when they say “____ thousands”, they mean the digit in the thousands place.
For example:
45,372
- Thousands place: 5 → so “5 thousands”
- Hundreds place: 3 → “3 hundreds”
- Tens place: 7 → “7 tens”
- Ones place: 2 → “2 ones”
But wait — 45,372 is forty-five thousand, three hundred seventy-two. So the “thousands” part is 45, not just 5.
Hmm — this is ambiguous. Let’s look at the second number: 176,437
If we break it down by place:
- Hundred thousands: 1
- Ten thousands: 7
- Thousands: 6
→ So if they want “____ thousands”, do they mean the entire thousands group (176)? Or just the digit in the thousands place (6)?
Looking at the first example: 45,372
If we write it as:
45,372 = 45 thousands + 3 hundreds + 7 tens + 2 ones → that makes sense numerically.
Because:
45 × 1000 = 45,000
3 × 100 = 300
7 × 10 = 70
2 × 1 = 2
Total: 45,000 + 300 + 70 + 2 = 45,372 ✔
Similarly, 176,437:
176 × 1000 = 176,000
4 × 100 = 400
3 × 10 = 30
7 × 1 = 7
Total: 176,000 + 400 + 30 + 7 = 176,437 ✔
And 962,508:
962 × 1000 = 962,000
5 × 100 = 500
0 × 10 = 0
8 × 1 = 8
Total: 962,000 + 500 + 0 + 8 = 962,508 ✔
So yes — “____ thousands” means the number formed by the digits to the left of the hundreds place, i.e., the whole number of thousands.
So:
1. 45,372
- Thousands: 45
- Hundreds: 3
- Tens: 7
- Ones: 2
2. 176,437
- Thousands: 176
- Hundreds: 4
- Tens: 3
- Ones: 7
3. 962,508
- Thousands: 962
- Hundreds: 5
- Tens: 0
- Ones: 8
✔ Part 4 Answers:
- 45,372 = 45 thousands 3 hundreds 7 tens 2 ones
- 176,437 = 176 thousands 4 hundreds 3 tens 7 ones
- 962,508 = 962 thousands 5 hundreds 0 tens 8 ones
---
Final Answer:
Part 1:
- 82,163 → thousands
- 46,375 → thousands
- 327,186 → hundreds
- 412,846 → ten thousands
- 84,716 → hundreds
- 761,489 → thousands
- 412,685 → ten thousands
- 49,321 → thousands
- 385,029 → thousands
- 637,958 → hundred thousands
Part 2:
- 137,295 = 100,000 + 30,000 + 7,000 + 200 + 90 + 5
- 67,329 = 60,000 + 7,000 + 300 + 20 + 9
- 894,326 = 800,000 + 90,000 + 4,000 + 300 + 20 + 6
Part 3:
- 80,000 + 4,000 + 900 + 10 + 6 = 84,916
- 200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238
- 800,000 + 7,000 + 300 + 50 + 6 = 807,356
- 500,000 + 30,000 + 800 + 40 + 2 = 530,842
Part 4:
- 45,372 = 45 thousands 3 hundreds 7 tens 2 ones
- 176,437 = 176 thousands 4 hundreds 3 tens 7 ones
- 962,508 = 962 thousands 5 hundreds 0 tens 8 ones
Parent Tip: Review the logic above to help your child master the concept of place value worksheet to one million.