Place Value Math Worksheet for Students

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 which digit is in a specific place (like tens, hundreds, etc.). Remember:

- For whole numbers, we count places from right to left starting with ones, then tens, hundreds, thousands, ten thousands, hundred thousands, millions, etc.
- For decimals, after the decimal point: first digit = tenths, second = hundredths, third = thousandths, etc.

Let’s go one by one:

1. 78,219 → tens place
Break it down:
7 (ten thousands), 8 (thousands), 2 (hundreds), 1 (tens), 9 (ones)
→ Answer: 1

2. 891,356 → hundred thousands place
Digits: 8 (hundred thousands), 9 (ten thousands), 1 (thousands), 3 (hundreds), 5 (tens), 6 (ones)
→ Answer: 8

3. 84.13 → hundredths place
After decimal: 1 is tenths, 3 is hundredths
→ Answer: 3

4. 719,340.2 → thousands place
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
Let’s write positions from right:
3 (ones), 1 (tens), 9 (hundreds), 3 (thousands), 8 (ten thousands), 2 (hundred thousands), 1 (millions)
→ Answer: 8

6. 892,175,391 → millions place
Group digits: 892,175,391
Positions from right:
... let’s count:
1 (ones), 9 (tens), 3 (hundreds), 5 (thousands), 7 (ten thousands), 1 (hundred thousands), 2 (millions), 9 (ten millions), 8 (hundred millions)
→ Answer: 2

7. 23,218,452,557 → one billions place
This is a big number. Let’s group by commas:
23,218,452,557 → that’s 23 billion, 218 million, 452 thousand, 557
So:
Billions group: “23” → 2 is ten billions, 3 is one billions
→ Answer: 3

8. 982,175,381,445 → ten billions place
Group: 982,175,381,445 → 982 billion, 175 million, 381 thousand, 445
Billions group: “982” → 9 is hundred billions, 8 is ten billions, 2 is one billions
→ Answer: 8

9. 839,155,329 → hundreds place
From right: 9 (ones), 2 (tens), 3 (hundreds), 5 (thousands), 5 (ten thousands), 1 (hundred thousands), 9 (millions), 3 (ten millions), 8 (hundred millions)
→ Answer: 3

10. 83,451,339,483 → ten millions place
Group: 83,451,339,483 → 83 billion, 451 million, 339 thousand, 483
Look at millions group: “451” → 4 is hundred millions, 5 is ten millions, 1 is one millions
→ Answer: 5

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

We need to build a 12-digit number where:

- 7 in the ten thousands place
- 6 in the millions place
- 3 in the hundred millions place
- 9 in the ten billions place
- 2 in the hundred billions place

First, remember the place values for a 12-digit number (from left to right):

Position 1: Hundred billions
Position 2: Ten billions
Position 3: One billions
Position 4: Hundred millions
Position 5: Ten millions
Position 6: One millions
Position 7: Hundred thousands
Position 8: Ten thousands ← put 7 here
Position 9: Thousands
Position 10: Hundreds
Position 11: Tens
Position 12: Ones

Now assign the required digits:

- Position 1 (hundred billions): 2
- Position 2 (ten billions): 9
- Position 4 (hundred millions): 3
- Position 6 (one millions): 6
- Position 8 (ten thousands): 7

All other positions can be filled with 0 (since not specified).

So let’s build it:

Pos 1: 2
Pos 2: 9
Pos 3: 0 (not specified)
Pos 4: 3
Pos 5: 0 (not specified)
Pos 6: 6
Pos 7: 0 (not specified)
Pos 8: 7
Pos 9: 0
Pos 10: 0
Pos 11: 0
Pos 12: 0

Write it out:
290,306,070,000

Check:

- Hundred billions: 2 ✔
- Ten billions: 9 ✔
- Hundred millions: 3 ✔
- Millions: 6 ✔
- Ten thousands: 7 ✔

Perfect.

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Final Answer:

Part 1 Answers (digit to circle):

1. 78,219 → tens place → 1
2. 891,356 → hundred thousands → 8
3. 84.13 → hundredths → 3
4. 719,340.2 → thousands → 9
5. 1,283,913 → ten thousands → 8
6. 892,175,391 → millions → 2
7. 23,218,452,557 → one billions → 3
8. 982,175,381,445 → ten billions → 8
9. 839,155,329 → hundreds → 3
10. 83,451,339,483 → ten millions → 5

Part 2 Answer (12-digit number):

→ 290,306,070,000

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Final Answer:
Part 1: 1, 8, 3, 9, 8, 2, 3, 8, 3, 5
Part 2: 290306070000