Practice Place Value: Ten Thousands worksheet with exercises on identifying place values and number changes.
A math worksheet titled "Practice Place Value: Ten Thousands" with exercises on identifying place values and answering questions about number changes.
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Step-by-step solution for: Practice Place Value: Ten Thousands | Worksheet
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Step-by-step solution for: Practice Place Value: Ten Thousands | Worksheet
Let's solve the problem step by step based on the worksheet titled "Practice Place Value: Ten Thousands".
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The worksheet is designed to help students understand place value, especially focusing on numbers up to the ten thousands place.
#### Example Given:
Number: 29,546
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 2 | 9 | 5 | 4 | 6 |
This means:
- 2 in the ten thousands place = 20,000
- 9 in the thousands place = 9,000
- 5 in the hundreds place = 500
- 4 in the tens place = 40
- 6 in the ones place = 6
So, 29,546 = 20,000 + 9,000 + 500 + 40 + 6
---
We are given numbers with digits underlined. We need to determine the value of that digit based on its place.
Let’s go through each one:
---
#### 1. 24,906 → 9 is underlined
- The 9 is in the hundreds place.
- So, its value is 900
#### 2. 98,382 → 8 is underlined (first 8)
- The number is 98,382
- First 8 is in the thousands place? Wait — let's break it down:
- 9 = ten thousands
- 8 = thousands
- 3 = hundreds
- 8 = tens
- 2 = ones
- The first 8 is in the thousands place → 8,000
Wait! But which 8 is underlined? Let's assume it's the first 8 (in the thousands place), so value = 8,000
But let’s check the second 8 — it’s in the tens place → 80
But since only one digit is underlined per question, and the example shows a single underline, we'll assume it's the first 8, so 8,000
But actually, looking at the layout:
98,382 — if the second 8 is underlined (the one in the tens place), then it's 80
But the original image isn't visible, so we must rely on typical formatting.
Wait — let's look at the way it's written:
> 1. 24,906 98,382 10,792 29,944 80,624
Possibly, each number has an underlined digit, but since we can't see the underline, we’ll infer from context.
But in many such worksheets, the underlined digit is typically the second digit or one that stands out.
However, without visual confirmation, we’ll assume the underlined digits are as follows (based on common practice):
Let me re-analyze with standard expectations.
But since you said “I uploaded an image,” and I can’t see it, I’ll solve all possible interpretations and give the most likely answers.
But let's proceed carefully.
Alternatively, perhaps the underlined digits are indicated in the original image, but not in text.
So I’ll solve each number assuming the underlined digit is the one that makes sense for the exercise.
Let’s use logical assumptions based on common patterns.
But to be safe, I’ll solve each number by identifying the place value of each digit, and you can match with your underlined digit.
---
Let’s list each number and identify possible underlined digits.
But since I don’t have the image, I’ll assume the underlined digits are the ones that are not in the ten thousands or ones places — likely middle digits.
But here’s a better approach: Let’s go through each number and compute values for each digit, and you can pick the correct one.
---
#### Problem 1: 24,906
Digits:
- 2 → 20,000 (ten thousands)
- 4 → 4,000 (thousands)
- 9 → 900 (hundreds)
- 0 → 0 (tens)
- 6 → 6 (ones)
So if 9 is underlined → 900
If 4 is underlined → 4,000
If 2 is underlined → 20,000
Most likely, 9 is underlined → 900
---
#### Problem 2: 98,382
Digits:
- 9 → 90,000 (ten thousands)
- 8 → 8,000 (thousands)
- 3 → 300 (hundreds)
- 8 → 80 (tens)
- 2 → 2 (ones)
Likely underlined digit is the first 8 (thousands) → 8,000
Or the second 8 (tens) → 80
But often, both 8s are used — maybe one is underlined.
Assume first 8 → 8,000
---
#### Problem 3: 10,792
Digits:
- 1 → 10,000
- 0 → 0
- 7 → 700 (hundreds)
- 9 → 90 (tens)
- 2 → 2 (ones)
Likely underlined digit is 7 → 700
---
#### Problem 4: 29,944
Digits:
- 2 → 20,000
- 9 → 9,000 (thousands)
- 9 → 900 (hundreds)
- 4 → 40 (tens)
- 4 → 4 (ones)
Underlined digit could be either 9 → 9,000 or 900
But probably the first 9 → 9,000
---
#### Problem 5: 80,624
Digits:
- 8 → 80,000
- 0 → 0
- 6 → 600
- 2 → 20
- 4 → 4
Underlined digit likely 6 → 600
---
So Part 1 Answers (likely):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
---
#### 4. Tens place in 25,837
Breakdown:
- 2 → 20,000
- 5 → 5,000
- 8 → 800
- 3 → 30 (tens)
- 7 → 7
→ Digit in tens place is 3
✔ Answer: 3
#### 5. Ones place in 76,003
- 7 → 70,000
- 6 → 6,000
- 0 → 0
- 0 → 0
- 3 → 3 (ones)
→ Digit in ones place is 3
✔ Answer: 3
#### 6. Ten thousands place in 67,396
- 6 → 60,000 → ten thousands place
→ Digit is 6
✔ Answer: 6
#### 7. Tens place in 14,787
- 1 → 10,000
- 4 → 4,000
- 7 → 700
- 8 → 80 (tens)
- 7 → 7
→ Tens digit is 8
✔ Answer: 8
#### 8. Hundreds place in 15,556
- 1 → 10,000
- 5 → 5,000
- 5 → 500 (hundreds)
- 5 → 50
- 6 → 6
→ Hundreds digit is 5
✔ Answer: 5
---
#### 10. If the 6 in 14,563 was changed to a 9, how much would the value change?
Find where the 6 is in 14,563:
- 1 → 10,000
- 4 → 4,000
- 5 → 500
- 6 → 60 (tens place)
- 3 → 3
So, 6 is in the tens place → value = 60
Change to 9 → new value = 90
Difference = 90 - 60 = 30
✔ Answer: 30
---
#### 11. If the 4 in 47,502 was changed to a 7, how much would the value change?
Find the 4 in 47,502:
- 4 → 40,000 (ten thousands place)
- 7 → 7,000
- 5 → 500
- 0 → 0
- 2 → 2
So, 4 is in ten thousands place → value = 40,000
Change to 7 → 70,000
Difference = 70,000 - 40,000 = 30,000
✔ Answer: 30,000
---
#### 12. If the 9 in 29,564 was changed to a 2, how much would the value change?
Find the 9 in 29,564:
- 2 → 20,000
- 9 → 9,000 (thousands place)
- 5 → 500
- 6 → 60
- 4 → 4
So, 9 is in thousands place → value = 9,000
Change to 2 → new value = 2,000
Difference = 9,000 - 2,000 = 7,000
But the question says: "how much would the value change?"
That means: new value - old value = 2,000 - 9,000 = -7,000
But usually, they ask for amount of change, so absolute value: 7,000
✔ Answer: 7,000
---
#### Part 1: Value of underlined digit (assumed based on common patterns):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
*(Note: If your underlined digit differs, adjust accordingly)*
#### Part 2: Digit in specified place:
4. 3
5. 3
6. 6
7. 8
8. 5
#### Part 3: Change in value:
10. 30
11. 30,000
12. 7,000
---
| Question | Answer |
|--------|--------|
| 1 | 900 |
| 2 | 8,000 |
| 3 | 700 |
| 4 | 9,000 |
| 5 | 600 |
| 6 | 3 |
| 7 | 3 |
| 8 | 6 |
| 9 | 8 |
| 10 | 5 |
| 11 | 30 |
| 12 | 30,000 |
| 13 | 7,000 |
Wait — numbering may be off.
Let’s renumber clearly.
---
Part 1 (Value of underlined digit):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
Part 2 (Digit in place):
4. 3
5. 3
6. 6
7. 8
8. 5
Part 3 (Change in value):
10. 30
11. 30,000
12. 7,000
---
If you can confirm which digits were underlined in Part 1, I can refine those answers. But this is the most accurate solution based on standard practice.
Let me know if you'd like this formatted as a printable answer sheet!
---
Understanding the Worksheet
The worksheet is designed to help students understand place value, especially focusing on numbers up to the ten thousands place.
#### Example Given:
Number: 29,546
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 2 | 9 | 5 | 4 | 6 |
This means:
- 2 in the ten thousands place = 20,000
- 9 in the thousands place = 9,000
- 5 in the hundreds place = 500
- 4 in the tens place = 40
- 6 in the ones place = 6
So, 29,546 = 20,000 + 9,000 + 500 + 40 + 6
---
Directions: Write the value of each underlined digit.
We are given numbers with digits underlined. We need to determine the value of that digit based on its place.
Let’s go through each one:
---
#### 1. 24,906 → 9 is underlined
- The 9 is in the hundreds place.
- So, its value is 900
#### 2. 98,382 → 8 is underlined (first 8)
- The number is 98,382
- First 8 is in the thousands place? Wait — let's break it down:
- 9 = ten thousands
- 8 = thousands
- 3 = hundreds
- 8 = tens
- 2 = ones
- The first 8 is in the thousands place → 8,000
Wait! But which 8 is underlined? Let's assume it's the first 8 (in the thousands place), so value = 8,000
But let’s check the second 8 — it’s in the tens place → 80
But since only one digit is underlined per question, and the example shows a single underline, we'll assume it's the first 8, so 8,000
But actually, looking at the layout:
98,382 — if the second 8 is underlined (the one in the tens place), then it's 80
But the original image isn't visible, so we must rely on typical formatting.
Wait — let's look at the way it's written:
> 1. 24,906 98,382 10,792 29,944 80,624
Possibly, each number has an underlined digit, but since we can't see the underline, we’ll infer from context.
But in many such worksheets, the underlined digit is typically the second digit or one that stands out.
However, without visual confirmation, we’ll assume the underlined digits are as follows (based on common practice):
Let me re-analyze with standard expectations.
But since you said “I uploaded an image,” and I can’t see it, I’ll solve all possible interpretations and give the most likely answers.
But let's proceed carefully.
Alternatively, perhaps the underlined digits are indicated in the original image, but not in text.
So I’ll solve each number assuming the underlined digit is the one that makes sense for the exercise.
Let’s use logical assumptions based on common patterns.
But to be safe, I’ll solve each number by identifying the place value of each digit, and you can match with your underlined digit.
---
Part 1: Write the value of each underlined digit
Let’s list each number and identify possible underlined digits.
But since I don’t have the image, I’ll assume the underlined digits are the ones that are not in the ten thousands or ones places — likely middle digits.
But here’s a better approach: Let’s go through each number and compute values for each digit, and you can pick the correct one.
---
#### Problem 1: 24,906
Digits:
- 2 → 20,000 (ten thousands)
- 4 → 4,000 (thousands)
- 9 → 900 (hundreds)
- 0 → 0 (tens)
- 6 → 6 (ones)
So if 9 is underlined → 900
If 4 is underlined → 4,000
If 2 is underlined → 20,000
Most likely, 9 is underlined → 900
---
#### Problem 2: 98,382
Digits:
- 9 → 90,000 (ten thousands)
- 8 → 8,000 (thousands)
- 3 → 300 (hundreds)
- 8 → 80 (tens)
- 2 → 2 (ones)
Likely underlined digit is the first 8 (thousands) → 8,000
Or the second 8 (tens) → 80
But often, both 8s are used — maybe one is underlined.
Assume first 8 → 8,000
---
#### Problem 3: 10,792
Digits:
- 1 → 10,000
- 0 → 0
- 7 → 700 (hundreds)
- 9 → 90 (tens)
- 2 → 2 (ones)
Likely underlined digit is 7 → 700
---
#### Problem 4: 29,944
Digits:
- 2 → 20,000
- 9 → 9,000 (thousands)
- 9 → 900 (hundreds)
- 4 → 40 (tens)
- 4 → 4 (ones)
Underlined digit could be either 9 → 9,000 or 900
But probably the first 9 → 9,000
---
#### Problem 5: 80,624
Digits:
- 8 → 80,000
- 0 → 0
- 6 → 600
- 2 → 20
- 4 → 4
Underlined digit likely 6 → 600
---
So Part 1 Answers (likely):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
---
Part 2: Write the digit that is in the specified place value
#### 4. Tens place in 25,837
Breakdown:
- 2 → 20,000
- 5 → 5,000
- 8 → 800
- 3 → 30 (tens)
- 7 → 7
→ Digit in tens place is 3
✔ Answer: 3
#### 5. Ones place in 76,003
- 7 → 70,000
- 6 → 6,000
- 0 → 0
- 0 → 0
- 3 → 3 (ones)
→ Digit in ones place is 3
✔ Answer: 3
#### 6. Ten thousands place in 67,396
- 6 → 60,000 → ten thousands place
→ Digit is 6
✔ Answer: 6
#### 7. Tens place in 14,787
- 1 → 10,000
- 4 → 4,000
- 7 → 700
- 8 → 80 (tens)
- 7 → 7
→ Tens digit is 8
✔ Answer: 8
#### 8. Hundreds place in 15,556
- 1 → 10,000
- 5 → 5,000
- 5 → 500 (hundreds)
- 5 → 50
- 6 → 6
→ Hundreds digit is 5
✔ Answer: 5
---
Part 3: Answer the place value questions below
#### 10. If the 6 in 14,563 was changed to a 9, how much would the value change?
Find where the 6 is in 14,563:
- 1 → 10,000
- 4 → 4,000
- 5 → 500
- 6 → 60 (tens place)
- 3 → 3
So, 6 is in the tens place → value = 60
Change to 9 → new value = 90
Difference = 90 - 60 = 30
✔ Answer: 30
---
#### 11. If the 4 in 47,502 was changed to a 7, how much would the value change?
Find the 4 in 47,502:
- 4 → 40,000 (ten thousands place)
- 7 → 7,000
- 5 → 500
- 0 → 0
- 2 → 2
So, 4 is in ten thousands place → value = 40,000
Change to 7 → 70,000
Difference = 70,000 - 40,000 = 30,000
✔ Answer: 30,000
---
#### 12. If the 9 in 29,564 was changed to a 2, how much would the value change?
Find the 9 in 29,564:
- 2 → 20,000
- 9 → 9,000 (thousands place)
- 5 → 500
- 6 → 60
- 4 → 4
So, 9 is in thousands place → value = 9,000
Change to 2 → new value = 2,000
Difference = 9,000 - 2,000 = 7,000
But the question says: "how much would the value change?"
That means: new value - old value = 2,000 - 9,000 = -7,000
But usually, they ask for amount of change, so absolute value: 7,000
✔ Answer: 7,000
---
✔ Final Answers:
#### Part 1: Value of underlined digit (assumed based on common patterns):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
*(Note: If your underlined digit differs, adjust accordingly)*
#### Part 2: Digit in specified place:
4. 3
5. 3
6. 6
7. 8
8. 5
#### Part 3: Change in value:
10. 30
11. 30,000
12. 7,000
---
✔ Summary:
| Question | Answer |
|--------|--------|
| 1 | 900 |
| 2 | 8,000 |
| 3 | 700 |
| 4 | 9,000 |
| 5 | 600 |
| 6 | 3 |
| 7 | 3 |
| 8 | 6 |
| 9 | 8 |
| 10 | 5 |
| 11 | 30 |
| 12 | 30,000 |
| 13 | 7,000 |
Wait — numbering may be off.
Let’s renumber clearly.
---
Final Answer Key:
Part 1 (Value of underlined digit):
1. 900
2. 8,000
3. 700
4. 9,000
5. 600
Part 2 (Digit in place):
4. 3
5. 3
6. 6
7. 8
8. 5
Part 3 (Change in value):
10. 30
11. 30,000
12. 7,000
---
If you can confirm which digits were underlined in Part 1, I can refine those answers. But this is the most accurate solution based on standard practice.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet through ten.