Place Value Practice Worksheet - Free Printable
Educational worksheet: Place Value Practice Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Place Value Practice Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Practice Worksheet
Let’s go step by step to find the correct digit for each place value.
We’ll look at each number and count from right to left, starting with the ones place. Remember:
- Ones → Tens → Hundreds → Thousands → Ten Thousands → Hundred Thousands → Millions → Ten Millions → Hundred Millions → Billions → Ten Billions → Hundred Billions
---
1. 78,219 — tens place
Write it out:
7 (ten thousands), 8 (thousands), 2 (hundreds), 1 (tens), 9 (ones)
→ Answer: 1
---
2. 891,356 — hundred thousands place
Break it down:
8 (hundred thousands), 9 (ten thousands), 1 (thousands), 3 (hundreds), 5 (tens), 6 (ones)
→ Answer: 8
---
3. 84.13 — hundredths place
This is a decimal! After the decimal point:
First digit = tenths, second digit = hundredths
So: 84.1 (tenths), 3 (hundredths)
→ Answer: 3
---
4. 719,340.2 — thousands place
Look at whole number part: 719,340
From right:
0 (ones), 4 (tens), 3 (hundreds), 9 (thousands), 1 (ten thousands), 7 (hundred thousands)
→ Answer: 9
---
5. 1,283,913 — ten thousands place
Break it down:
1 (millions), 2 (hundred thousands), 8 (ten thousands), 3 (thousands), 9 (hundreds), 1 (tens), 3 (ones)
Wait — let’s write positions clearly:
Positions from right:
- 3 → ones
- 1 → tens
- 9 → hundreds
- 3 → thousands
- 8 → ten thousands ← this is what we want
- 2 → hundred thousands
- 1 → millions
→ Answer: 8
---
6. 892,175,391 — millions place
Group by commas: 892 million, 175 thousand, 391
So the “millions” group is 892 → that means:
- 8 → hundred millions
- 9 → ten millions
- 2 → millions ← this is the digit in the millions place
Wait — actually, let’s count from right:
Number: 892,175,391
Positions from right (starting at 0):
Digit positions (right to left):
Index: 8 7 6 5 4 3 2 1 0
Digits: 8 9 2 1 7 5 3 9 1
Place values:
- Index 0 → ones
- Index 1 → tens
- Index 2 → hundreds
- Index 3 → thousands
- Index 4 → ten thousands
- Index 5 → hundred thousands
- Index 6 → millions
- Index 7 → ten millions
- Index 8 → hundred millions
So index 6 is the 7th digit from right → that’s the 2 in 892,175,391? Let’s write it with spaces:
8 9 2 , 1 7 5 , 3 9 1
Hundred Millions | Ten Millions | Millions | ...
Yes — the third digit from the left in the first group (892) is the millions place → 2
But wait — let’s double-check:
Actually, standard grouping:
In 892,175,391:
- The last three digits (391) = units, tens, hundreds
- Next three (175) = thousands, ten thousands, hundred thousands
- First three (892) = millions, ten millions, hundred millions
So:
- 8 → hundred millions
- 9 → ten millions
- 2 → millions ← yes!
→ Answer: 2
---
7. 23,218,452,557 — one billions place
This is a big number. Let’s break it into groups:
23,218,452,557 → 23 billion, 218 million, 452 thousand, 557
So:
- 23 → billions group → 2 is ten billions, 3 is one billions
Check by position:
Count from right:
Total digits: 11
Positions from right (0 to 10):
Digit: 2 3 2 1 8 4 5 2 5 5 7
Position: 10 9 8 7 6 5 4 3 2 1 0
Place values:
- Position 9 → billions place (since 10^9)
Position 9 is the second digit from left → which is 3
Yes → 23,218,452,557 → the "3" is in the one billions place.
→ Answer: 3
---
8. 982,175,381,445 — ten billions place
Number: 982,175,381,445 → 12 digits
Groups: 982 billion, 175 million, 381 thousand, 445
Billions group: 982 →
- 9 → hundred billions
- 8 → ten billions
- 2 → one billions
So ten billions place → 8
Confirm by position:
12 digits → positions 0 to 11 from right
Ten billions = 10^10 → position 10
Leftmost digit is position 11 → hundred billions
Next is position 10 → ten billions → that’s the 8
→ Answer: 8
---
9. 839,155,329 — hundreds place
Last three digits: 329 →
- 9 → ones
- 2 → tens
- 3 → hundreds
→ Answer: 3
---
10. 83,451,339,483 — ten millions place
Number: 83,451,339,483 → 11 digits
Break into groups: 83 billion, 451 million, 339 thousand, 483
We need ten millions place.
Millions group: 451 →
- 4 → hundred millions
- 5 → ten millions
- 1 → one millions
So ten millions place → 5
Confirm by position:
11 digits → positions 0 to 10 from right
Ten millions = 10^7 → position 7
Count from right:
Digits: 8 3 4 5 1 3 3 9 4 8 3
Pos: 10 9 8 7 6 5 4 3 2 1 0
Position 7 → that’s the 5 (from left: 8(10), 3(9), 4(8), 5(7))
→ Answer: 5
---
Now the second part: Write 12-digit whole numbers with given digits in specific places.
We need to build a 12-digit number.
Places (from left to right, position 11 to 0):
Position 11: hundred billions
Position 10: ten billions
Position 9: one billions
Position 8: hundred millions
Position 7: ten millions
Position 6: one millions
Position 5: hundred thousands
Position 4: ten thousands
Position 3: one thousands
Position 2: hundreds
Position 1: tens
Position 0: ones
Given:
- 7 in the ten thousands → position 4
- 6 in the millions → position 6
- 3 in the hundred millions → position 8
- 9 in the ten billions → position 10
- 2 in the hundred billions → position 11
So fill those in:
Positions:
11: 2
10: 9
9: ?
8: 3
7: ?
6: 6
5: ?
4: 7
3: ?
2: ?
1: ?
0: ?
We can put 0s in all other spots unless specified.
So number becomes:
2 (hundred billions)
9 (ten billions)
? (one billions) → let’s use 0
3 (hundred millions)
? (ten millions) → 0
6 (one millions)
? (hundred thousands) → 0
7 (ten thousands)
? (one thousands) → 0
? (hundreds) → 0
? (tens) → 0
? (ones) → 0
So: 290,306,070,000
Check:
- Hundred billions: 2 ✔
- Ten billions: 9 ✔
- Hundred millions: 3 ✔
- One millions: 6 ✔
- Ten thousands: 7 ✔
Perfect.
Final Answer:
For the first table:
1. 1
2. 8
3. 3
4. 9
5. 8
6. 2
7. 3
8. 8
9. 3
10. 5
For the second table: 290,306,070,000
──────────────────────────────────────
Final Answer:
1
8
3
9
8
2
3
8
3
5
290306070000
We’ll look at each number and count from right to left, starting with the ones place. Remember:
- Ones → Tens → Hundreds → Thousands → Ten Thousands → Hundred Thousands → Millions → Ten Millions → Hundred Millions → Billions → Ten Billions → Hundred Billions
---
1. 78,219 — tens place
Write it out:
7 (ten thousands), 8 (thousands), 2 (hundreds), 1 (tens), 9 (ones)
→ Answer: 1
---
2. 891,356 — hundred thousands place
Break it down:
8 (hundred thousands), 9 (ten thousands), 1 (thousands), 3 (hundreds), 5 (tens), 6 (ones)
→ Answer: 8
---
3. 84.13 — hundredths place
This is a decimal! After the decimal point:
First digit = tenths, second digit = hundredths
So: 84.1 (tenths), 3 (hundredths)
→ Answer: 3
---
4. 719,340.2 — thousands place
Look at whole number part: 719,340
From right:
0 (ones), 4 (tens), 3 (hundreds), 9 (thousands), 1 (ten thousands), 7 (hundred thousands)
→ Answer: 9
---
5. 1,283,913 — ten thousands place
Break it down:
1 (millions), 2 (hundred thousands), 8 (ten thousands), 3 (thousands), 9 (hundreds), 1 (tens), 3 (ones)
Wait — let’s write positions clearly:
Positions from right:
- 3 → ones
- 1 → tens
- 9 → hundreds
- 3 → thousands
- 8 → ten thousands ← this is what we want
- 2 → hundred thousands
- 1 → millions
→ Answer: 8
---
6. 892,175,391 — millions place
Group by commas: 892 million, 175 thousand, 391
So the “millions” group is 892 → that means:
- 8 → hundred millions
- 9 → ten millions
- 2 → millions ← this is the digit in the millions place
Wait — actually, let’s count from right:
Number: 892,175,391
Positions from right (starting at 0):
Digit positions (right to left):
Index: 8 7 6 5 4 3 2 1 0
Digits: 8 9 2 1 7 5 3 9 1
Place values:
- Index 0 → ones
- Index 1 → tens
- Index 2 → hundreds
- Index 3 → thousands
- Index 4 → ten thousands
- Index 5 → hundred thousands
- Index 6 → millions
- Index 7 → ten millions
- Index 8 → hundred millions
So index 6 is the 7th digit from right → that’s the 2 in 892,175,391? Let’s write it with spaces:
8 9 2 , 1 7 5 , 3 9 1
Hundred Millions | Ten Millions | Millions | ...
Yes — the third digit from the left in the first group (892) is the millions place → 2
But wait — let’s double-check:
Actually, standard grouping:
In 892,175,391:
- The last three digits (391) = units, tens, hundreds
- Next three (175) = thousands, ten thousands, hundred thousands
- First three (892) = millions, ten millions, hundred millions
So:
- 8 → hundred millions
- 9 → ten millions
- 2 → millions ← yes!
→ Answer: 2
---
7. 23,218,452,557 — one billions place
This is a big number. Let’s break it into groups:
23,218,452,557 → 23 billion, 218 million, 452 thousand, 557
So:
- 23 → billions group → 2 is ten billions, 3 is one billions
Check by position:
Count from right:
Total digits: 11
Positions from right (0 to 10):
Digit: 2 3 2 1 8 4 5 2 5 5 7
Position: 10 9 8 7 6 5 4 3 2 1 0
Place values:
- Position 9 → billions place (since 10^9)
Position 9 is the second digit from left → which is 3
Yes → 23,218,452,557 → the "3" is in the one billions place.
→ Answer: 3
---
8. 982,175,381,445 — ten billions place
Number: 982,175,381,445 → 12 digits
Groups: 982 billion, 175 million, 381 thousand, 445
Billions group: 982 →
- 9 → hundred billions
- 8 → ten billions
- 2 → one billions
So ten billions place → 8
Confirm by position:
12 digits → positions 0 to 11 from right
Ten billions = 10^10 → position 10
Leftmost digit is position 11 → hundred billions
Next is position 10 → ten billions → that’s the 8
→ Answer: 8
---
9. 839,155,329 — hundreds place
Last three digits: 329 →
- 9 → ones
- 2 → tens
- 3 → hundreds
→ Answer: 3
---
10. 83,451,339,483 — ten millions place
Number: 83,451,339,483 → 11 digits
Break into groups: 83 billion, 451 million, 339 thousand, 483
We need ten millions place.
Millions group: 451 →
- 4 → hundred millions
- 5 → ten millions
- 1 → one millions
So ten millions place → 5
Confirm by position:
11 digits → positions 0 to 10 from right
Ten millions = 10^7 → position 7
Count from right:
Digits: 8 3 4 5 1 3 3 9 4 8 3
Pos: 10 9 8 7 6 5 4 3 2 1 0
Position 7 → that’s the 5 (from left: 8(10), 3(9), 4(8), 5(7))
→ Answer: 5
---
Now the second part: Write 12-digit whole numbers with given digits in specific places.
We need to build a 12-digit number.
Places (from left to right, position 11 to 0):
Position 11: hundred billions
Position 10: ten billions
Position 9: one billions
Position 8: hundred millions
Position 7: ten millions
Position 6: one millions
Position 5: hundred thousands
Position 4: ten thousands
Position 3: one thousands
Position 2: hundreds
Position 1: tens
Position 0: ones
Given:
- 7 in the ten thousands → position 4
- 6 in the millions → position 6
- 3 in the hundred millions → position 8
- 9 in the ten billions → position 10
- 2 in the hundred billions → position 11
So fill those in:
Positions:
11: 2
10: 9
9: ?
8: 3
7: ?
6: 6
5: ?
4: 7
3: ?
2: ?
1: ?
0: ?
We can put 0s in all other spots unless specified.
So number becomes:
2 (hundred billions)
9 (ten billions)
? (one billions) → let’s use 0
3 (hundred millions)
? (ten millions) → 0
6 (one millions)
? (hundred thousands) → 0
7 (ten thousands)
? (one thousands) → 0
? (hundreds) → 0
? (tens) → 0
? (ones) → 0
So: 290,306,070,000
Check:
- Hundred billions: 2 ✔
- Ten billions: 9 ✔
- Hundred millions: 3 ✔
- One millions: 6 ✔
- Ten thousands: 7 ✔
Perfect.
Final Answer:
For the first table:
1. 1
2. 8
3. 3
4. 9
5. 8
6. 2
7. 3
8. 8
9. 3
10. 5
For the second table: 290,306,070,000
──────────────────────────────────────
Final Answer:
1
8
3
9
8
2
3
8
3
5
290306070000
Parent Tip: Review the logic above to help your child master the concept of place value worksheet to ten thousands.