Place Value Practice Worksheet - Free Printable

Let's solve this step by step.

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Part 1: Circle the digit for each place value written

We are given numbers and asked to identify the digit in a specific place value.

#### 1. 78,219 – tens place
- Break down: 7 (ten thousands), 8 (thousands), 2 (hundreds), 1 (tens), 9 (ones)
- Answer: Circle 1

#### 2. 891,356 – hundred thousands place
- Break down: 8 (hundred thousands), 9 (ten thousands), 1 (thousands), 3 (hundreds), 5 (tens), 6 (ones)
- Answer: Circle 8

#### 3. 84.13 – hundredths place
- Decimal places: 84.13 → 1 is tenths, 3 is hundredths
- Answer: Circle 3

#### 4. 719,340.2 – thousands place
- Number: 719,340.2
- Break down: 7 (hundred thousands), 1 (ten thousands), 9 (thousands), 3 (hundreds), 4 (tens), 0 (ones), .2 (tenths)
- Answer: Circle 9

#### 5. 1,283,913 – ten thousands place
- Break down: 1 (millions), 2 (hundred thousands), 8 (ten thousands), 3 (thousands), 9 (hundreds), 1 (tens), 3 (ones)
- Answer: Circle 8

#### 6. 892,175,391 – millions place
- Break down: 8 (hundred millions), 9 (ten millions), 2 (millions), 1 (hundred thousands), etc.
- Answer: Circle 2

#### 7. 23,218,452,557 – one billions place
- Let’s write it with commas: 23,218,452,557
- Place values from right:
- 23 billion, 218 million, 452 thousand, 557
- So, the one billions place is the first digit of the billions group:
- 23 billion → 2 (ten billions), 3 (one billions)
- Answer: Circle 3

#### 8. 982,175,381,445 – ten billions place
- Number: 982,175,381,445
- Break into groups:
- 982 billion, 175 million, 381 thousand, 445
- 982 billion = 9 (hundred billions), 8 (ten billions), 2 (one billions)
- Answer: Circle 8

#### 9. 839,155,329 – hundreds place
- Break down: 8 (hundred millions), 3 (ten millions), 9 (millions), 1 (hundred thousands), 5 (ten thousands), 5 (thousands), 3 (hundreds), 2 (tens), 9 (ones)
- Answer: Circle 3

#### 10. 83,451,339,483 – ten millions place
- Number: 83,451,339,483
- Break into groups:
- 83 billion, 451 million, 339 thousand, 483
- 83 billion → 8 (ten billions), 3 (one billions)
- 451 million → 4 (hundred millions), 5 (ten millions), 1 (millions)
- Answer: Circle 5

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✔ Part 1 Summary:

| Number | Place Value | Digit to Circle |
|--------|-------------|------------------|
| 78,219 | tens place | 1 |
| 891,356 | hundred thousands place | 8 |
| 84.13 | hundredths place | 3 |
| 719,340.2 | thousands place | 9 |
| 1,283,913 | ten thousands place | 8 |
| 892,175,391 | millions place | 2 |
| 23,218,452,557 | one billions place | 3 |
| 982,175,381,445 | ten billions place | 8 |
| 839,155,329 | hundreds place | 3 |
| 83,451,339,483 | ten millions place | 5 |

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Part 2: Write 12-digit whole numbers with the following digits in the correct places

We need to write 12-digit numbers, so we'll use place values up to hundred billions.

Let’s recall the place values for a 12-digit number:

From right to left:

1. Ones
2. Tens
3. Hundreds
4. Thousands
5. Ten thousands
6. Hundred thousands
7. Millions
8. Ten millions
9. Hundred millions
10. Billions
11. Ten billions
12. Hundred billions

So, the leftmost digit is the hundred billions place.

Let’s build each number accordingly.

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#### 1. 7 in the ten thousands place
- We need a 12-digit number.
- The ten thousands place is the fifth digit from the right.
- So, position: _ _ _ _ _ 7 _ _ _ _ _ _
- Fill rest with zeros unless specified.
- But only one digit is specified, so others can be zero.
- Example: 000000000070000 → but we want a 12-digit number → must start with non-zero? Not necessarily, but typically we avoid leading zeros.

But since it's a 12-digit number, the first digit (hundred billions) cannot be zero.

So, we can write:
→ 100000000070000 → too many digits?

Wait — let’s count:

We need 12 digits total.

Positions from left to right:

| Position | Name |
|---------|------|
| 1 | Hundred billions |
| 2 | Ten billions |
| 3 | Billions |
| 4 | Hundred millions |
| 5 | Ten millions |
| 6 | Millions |
| 7 | Hundred thousands |
| 8 | Ten thousands |
| 9 | Thousands |
| 10 | Hundreds |
| 11 | Tens |
| 12 | Ones |

Wait — that's wrong.

Actually, standard place values:

For a 12-digit number, the leftmost digit is hundred billions, then:

1. Hundred billions
2. Ten billions
3. Billions
4. Hundred millions
5. Ten millions
6. Millions
7. Hundred thousands
8. Ten thousands ← this is the 8th digit from the left? No!

Wait — better to go from right.

Let’s define positions from right to left:

| Position from Right | Place Value |
|---------------------|-------------|
| 1 | Ones |
| 2 | Tens |
| 3 | Hundreds |
| 4 | Thousands |
| 5 | Ten thousands |
| 6 | Hundred thousands |
| 7 | Millions |
| 8 | Ten millions |
| 9 | Hundred millions |
| 10 | Billions |
| 11 | Ten billions |
| 12 | Hundred billions |

So, ten thousands is position 5 from the right.

So in a 12-digit number:

- Digits: [D1][D2][D3][D4][D5][D6][D7][D8][D9][D10][D11][D12]
where D1 is hundred billions, D12 is ones

Now, ten thousands is 5th from the right, so that’s D8 (since D12=ones, D11=tens, D10=hundreds, D9=thousands, D8=ten thousands)

So, we need 7 in the 8th digit from the left (i.e., D8).

So number: _ _ _ _ _ _ _ 7 _ _ _ _

We need 12 digits, so fill the rest with zeros, but make sure it's valid.

But if we put 7 at D8, and rest 0s, we get:

→ 000000070000 → only 8 digits

We need 12 digits, so we must have 12 digits total.

So, we can write:

→ 000000000070000 → no, that's 13 digits?

Wait — let's build it properly.

Let’s write the number as:

```
[百亿][十亿][亿][千万][百万][十万][万][千][百][十][个]
```

In English:

| Digit | Place |
|-------|-------|
| 1 | Hundred billions |
| 2 | Ten billions |
| 3 | Billions |
| 4 | Hundred millions |
| 5 | Ten millions |
| 6 | Millions |
| 7 | Hundred thousands |
| 8 | Ten thousands |
| 9 | Thousands |
| 10 | Hundreds |
| 11 | Tens |
| 12 | Ones |

So, ten thousands is digit 8 from the left.

So, we want 7 in the 8th position.

So:
→ _ _ _ _ _ _ _ 7 _ _ _ _

Now fill other digits with 0, but ensure it's a 12-digit number, so the first digit (hundred billions) must not be zero.

So, we can choose any non-zero digit for the first digit, but since only one digit is specified, we can assume the rest are zero except where needed.

But to keep it simple, we can just set the 8th digit to 7 and others to 0, but make sure the first digit is not zero.

So, let’s set:

- Digit 1: 1 (hundred billions)
- Digit 8: 7 (ten thousands)
- All others: 0

Then number is:
100000070000

But how many digits? Let's count:

1 0 0 0 0 0 0 7 0 0 0 0 → that's 12 digits ✔

Yes.

So: 100,000,070,000

But is that correct?

Break it down:

- 100,000,070,000
- That’s 100 billion + 70,000 → yes, 7 is in ten thousands place.

✔ Correct.

So answer: 100,000,070,000

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#### 2. 6 in the millions place

Millions place is 6th digit from the right.

From left: digit 7 is millions.

Wait — from right:

- 1: ones
- 2: tens
- 3: hundreds
- 4: thousands
- 5: ten thousands
- 6: hundred thousands
- 7: millions

Wait — millions is 7th from the right, which is digit 6 from the left?

Wait — let’s clarify:

For a 12-digit number:

| From Left | Place Value |
|----------|-------------|
| 1 | Hundred billions |
| 2 | Ten billions |
| 3 | Billions |
| 4 | Hundred millions |
| 5 | Ten millions |
| 6 | Millions ← this is the 6th digit from the left
| 7 | Hundred thousands
| 8 | Ten thousands
| 9 | Thousands
| 10 | Hundreds
| 11 | Tens
| 12 | Ones

So millions is digit 6.

So we want 6 in the 6th digit from the left.

So: _ _ _ _ _ 6 _ _ _ _ _ _

Set first digit to 1 (to make it 12-digit), rest to 0:

→ 100006000000

Check: 100,006,000,000

Breakdown: 100 billion + 6 million → yes, 6 is in millions place.

✔ Correct.

Answer: 100,006,000,000

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#### 3. 3 in the hundred millions place

Hundred millions is digit 4 from the left

So: _ _ _ 3 _ _ _ _ _ _ _ _

Set first digit to 1, others 0:

→ 100300000000

That’s 100,300,000,000

Breakdown: 100 billion + 300 million → yes, 3 is in hundred millions place.

✔ Correct.

Answer: 100,300,000,000

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#### 4. 9 in the ten billions place

Ten billions is digit 2 from the left

So: _ 9 _ _ _ _ _ _ _ _ _ _

Set first digit to 1, others 0:

→ 190000000000

That’s 190,000,000,000

Breakdown: 1 hundred billion + 9 ten billions → 190 billion → yes.

✔ Correct.

Answer: 190,000,000,000

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#### 5. 2 in the hundred billions place

Hundred billions is digit 1 from the left

So: 2 _ _ _ _ _ _ _ _ _ _ _

Set rest to 0:

→ 200000000000

That’s 200,000,000,000

✔ Correct.

Answer: 200,000,000,000

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✔ Final Answers:

#### Part 1: Circle the digit

| Number | Place Value | Digit |
|--------|-------------|-------|
| 78,219 | tens place | 1 |
| 891,356 | hundred thousands place | 8 |
| 84.13 | hundredths place | 3 |
| 719,340.2 | thousands place | 9 |
| 1,283,913 | ten thousands place | 8 |
| 892,175,391 | millions place | 2 |
| 23,218,452,557 | one billions place | 3 |
| 982,175,381,445 | ten billions place | 8 |
| 839,155,329 | hundreds place | 3 |
| 83,451,339,483 | ten millions place | 5 |

#### Part 2: Write 12-digit numbers

| Requirement | Answer |
|-----------|--------|
| 7 in the ten thousands | 100,000,070,000 |
| 6 in the millions | 100,006,000,000 |
| 3 in the hundred millions | 100,300,000,000 |
| 9 in the ten billions | 190,000,000,000 |
| 2 in the hundred billions | 200,000,000,000 |

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