Value & Place Value Worksheets - Free Printable
Educational worksheet: Value & Place Value Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Value & Place Value Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Value & Place Value Worksheets
The image you've uploaded is a math worksheet titled *"Identifying Value & Place Value"*, designed to help students understand place value in multi-digit numbers. It includes 20 questions, each asking about the place (e.g., tens, hundreds) or the digit in a specific place of a given number.
On the right side of the page, there's an Answer Key, which provides correct answers for each question. Below, I’ll walk through how to solve each problem and explain the reasoning behind the answers.
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In our base-10 number system, each digit in a number has a place value based on its position:
| Position | Place Value |
|---------|--------------------|
| ... | hundred millions |
| | ten millions |
| | millions |
| | hundred thousands |
| | ten thousands |
| | thousands |
| | hundreds |
| | tens |
| | ones |
For example:
In 6,935:
- 6 → thousands
- 9 → hundreds
- 3 → tens
- 5 → ones
Let’s go through each question step-by-step:
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#### 1) What place is the 8 in the number 183?
- Number: 183
- Digits: 1 (hundreds), 8 (tens), 3 (ones)
- ✔ Answer: tens
#### 2) What digit is in the tens place in the number 6,935?
- Number: 6,935
- Tens place is the second digit from the right: 3
- ✔ Answer: 3
#### 3) What place is the 3 in the number 32,487?
- Number: 32,487
- The leftmost digit (3) is in the ten thousands place
- ✔ Answer: ten thousands
#### 4) What digit is in the ones place in the number 932,816?
- Number: 932,816
- Ones place is the last digit: 6
- ✔ Answer: 6
#### 5) What place is the 8 in the number 824,361?
- Number: 824,361
- 8 is the first digit → hundred thousands
- ✔ Answer: hundred thousands
#### 6) What digit is in the millions place in the number 9,264,837?
- Number: 9,264,837
- Millions place is the first digit: 9
- ✔ Answer: 9
#### 7) What place is the 9 at in the number 8,163,492?
- Number: 8,163,492
- Look at the digits: 8 (millions), 1 (hundred thousands), 6 (ten thousands), 3 (thousands), 4 (hundreds), 9 (tens), 2 (ones)
- So, 9 is in the tens place
- ✔ Answer: tens
#### 8) What digit is in the ones place in the number 8,537,964?
- Last digit: 4
- ✔ Answer: 4
#### 9) What place is the 4 in the number 4,681?
- Number: 4,681
- 4 is in the thousands place
- ✔ Answer: thousands
#### 10) What digit is in the tens place in the number 964,378?
- Number: 964,378
- Tens place is the second digit from the right: 7
- ✔ Answer: 7
#### 11) What place is the 5 in the number 843,152?
- Number: 843,152
- From right: 2 (ones), 5 (tens), 1 (hundreds), 3 (thousands), 4 (ten thousands), 8 (hundred thousands)
- So, 5 is in the tens place
- ✔ Answer: tens
#### 12) What digit is in the ten thousands place in the number 724,189?
- Number: 724,189
- Ten thousands place is the second digit from the left: 2
- ✔ Answer: 2
#### 13) What place is the 3 in the number 4,295,386?
- Number: 4,295,386
- Break it down:
- 4 → millions
- 2 → hundred thousands
- 9 → ten thousands
- 5 → thousands
- 3 → hundreds
- 8 → tens
- 6 → ones
- So, 3 is in the hundreds place
- ✔ Answer: hundreds
#### 14) What digit is in the tens place in the number 62,471?
- Number: 62,471
- Tens place: second from right → 7
- ✔ Answer: 7
#### 15) What place is the 7 at in the number 4,173?
- Number: 4,173
- 7 is in the tens place (second from right)
- ✔ Answer: tens
#### 16) What digit is in the hundreds place in the number 274?
- Number: 274
- Hundreds place: 2
- ✔ Answer: 2
#### 17) What place is the 1 in the number 75,123?
- Number: 75,123
- 1 is in the hundreds place
- ✔ Answer: hundreds
#### 18) What digit is in the ten thousands place in the number 1,849,562?
- Number: 1,849,562
- Ten thousands place is the second digit from the left: 8
- Wait! Let's check:
- 1 → millions
- 8 → hundred thousands
- 4 → ten thousands
- 9 → thousands
- 5 → hundreds
- 6 → tens
- 2 → ones
- So, 4 is in the ten thousands place
- ✔ Answer: 4
#### 19) What place is the 1 in the number 637,182?
- Number: 637,182
- 1 is in the hundreds place
- ✔ Answer: hundreds
#### 20) What digit is in the thousands place in the number 3,167,859?
- Number: 3,167,859
- Thousands place: fourth digit from right → 7
- ✔ Answer: 7
---
All answers match the Answer Key provided in the image. Here’s a quick reference:
| Q# | Answer |
|----|--------------------|
| 1 | tens |
| 2 | 3 |
| 3 | ten thousands |
| 4 | 6 |
| 5 | hundred thousands |
| 6 | 9 |
| 7 | tens |
| 8 | 4 |
| 9 | thousands |
| 10 | 7 |
| 11 | tens |
| 12 | 2 |
| 13 | hundreds |
| 14 | 7 |
| 15 | tens |
| 16 | 2 |
| 17 | hundreds |
| 18 | 4 |
| 19 | hundreds |
| 20 | 7 |
---
To help students master this:
- Use place value charts.
- Practice writing numbers in expanded form (e.g., 3,167,859 = 3,000,000 + 100,000 + 60,000 + 7,000 + 800 + 50 + 9).
- Emphasize that place refers to the position, while value refers to the digit × place value.
Let me know if you'd like a printable version or a quiz generator for similar problems!
On the right side of the page, there's an Answer Key, which provides correct answers for each question. Below, I’ll walk through how to solve each problem and explain the reasoning behind the answers.
---
🔢 Understanding Place Value
In our base-10 number system, each digit in a number has a place value based on its position:
| Position | Place Value |
|---------|--------------------|
| ... | hundred millions |
| | ten millions |
| | millions |
| | hundred thousands |
| | ten thousands |
| | thousands |
| | hundreds |
| | tens |
| | ones |
For example:
In 6,935:
- 6 → thousands
- 9 → hundreds
- 3 → tens
- 5 → ones
Let’s go through each question step-by-step:
---
✔ Question-by-Question Breakdown
#### 1) What place is the 8 in the number 183?
- Number: 183
- Digits: 1 (hundreds), 8 (tens), 3 (ones)
- ✔ Answer: tens
#### 2) What digit is in the tens place in the number 6,935?
- Number: 6,935
- Tens place is the second digit from the right: 3
- ✔ Answer: 3
#### 3) What place is the 3 in the number 32,487?
- Number: 32,487
- The leftmost digit (3) is in the ten thousands place
- ✔ Answer: ten thousands
#### 4) What digit is in the ones place in the number 932,816?
- Number: 932,816
- Ones place is the last digit: 6
- ✔ Answer: 6
#### 5) What place is the 8 in the number 824,361?
- Number: 824,361
- 8 is the first digit → hundred thousands
- ✔ Answer: hundred thousands
#### 6) What digit is in the millions place in the number 9,264,837?
- Number: 9,264,837
- Millions place is the first digit: 9
- ✔ Answer: 9
#### 7) What place is the 9 at in the number 8,163,492?
- Number: 8,163,492
- Look at the digits: 8 (millions), 1 (hundred thousands), 6 (ten thousands), 3 (thousands), 4 (hundreds), 9 (tens), 2 (ones)
- So, 9 is in the tens place
- ✔ Answer: tens
#### 8) What digit is in the ones place in the number 8,537,964?
- Last digit: 4
- ✔ Answer: 4
#### 9) What place is the 4 in the number 4,681?
- Number: 4,681
- 4 is in the thousands place
- ✔ Answer: thousands
#### 10) What digit is in the tens place in the number 964,378?
- Number: 964,378
- Tens place is the second digit from the right: 7
- ✔ Answer: 7
#### 11) What place is the 5 in the number 843,152?
- Number: 843,152
- From right: 2 (ones), 5 (tens), 1 (hundreds), 3 (thousands), 4 (ten thousands), 8 (hundred thousands)
- So, 5 is in the tens place
- ✔ Answer: tens
#### 12) What digit is in the ten thousands place in the number 724,189?
- Number: 724,189
- Ten thousands place is the second digit from the left: 2
- ✔ Answer: 2
#### 13) What place is the 3 in the number 4,295,386?
- Number: 4,295,386
- Break it down:
- 4 → millions
- 2 → hundred thousands
- 9 → ten thousands
- 5 → thousands
- 3 → hundreds
- 8 → tens
- 6 → ones
- So, 3 is in the hundreds place
- ✔ Answer: hundreds
#### 14) What digit is in the tens place in the number 62,471?
- Number: 62,471
- Tens place: second from right → 7
- ✔ Answer: 7
#### 15) What place is the 7 at in the number 4,173?
- Number: 4,173
- 7 is in the tens place (second from right)
- ✔ Answer: tens
#### 16) What digit is in the hundreds place in the number 274?
- Number: 274
- Hundreds place: 2
- ✔ Answer: 2
#### 17) What place is the 1 in the number 75,123?
- Number: 75,123
- 1 is in the hundreds place
- ✔ Answer: hundreds
#### 18) What digit is in the ten thousands place in the number 1,849,562?
- Number: 1,849,562
- Ten thousands place is the second digit from the left: 8
- Wait! Let's check:
- 1 → millions
- 8 → hundred thousands
- 4 → ten thousands
- 9 → thousands
- 5 → hundreds
- 6 → tens
- 2 → ones
- So, 4 is in the ten thousands place
- ✔ Answer: 4
#### 19) What place is the 1 in the number 637,182?
- Number: 637,182
- 1 is in the hundreds place
- ✔ Answer: hundreds
#### 20) What digit is in the thousands place in the number 3,167,859?
- Number: 3,167,859
- Thousands place: fourth digit from right → 7
- ✔ Answer: 7
---
✔ Final Summary
All answers match the Answer Key provided in the image. Here’s a quick reference:
| Q# | Answer |
|----|--------------------|
| 1 | tens |
| 2 | 3 |
| 3 | ten thousands |
| 4 | 6 |
| 5 | hundred thousands |
| 6 | 9 |
| 7 | tens |
| 8 | 4 |
| 9 | thousands |
| 10 | 7 |
| 11 | tens |
| 12 | 2 |
| 13 | hundreds |
| 14 | 7 |
| 15 | tens |
| 16 | 2 |
| 17 | hundreds |
| 18 | 4 |
| 19 | hundreds |
| 20 | 7 |
---
📝 Teaching Tip:
To help students master this:
- Use place value charts.
- Practice writing numbers in expanded form (e.g., 3,167,859 = 3,000,000 + 100,000 + 60,000 + 7,000 + 800 + 50 + 9).
- Emphasize that place refers to the position, while value refers to the digit × place value.
Let me know if you'd like a printable version or a quiz generator for similar problems!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet and answers.