Place Value worksheet for learning digit values in numbers.
A math worksheet titled "Place Value" with instructions and exercises for understanding digit values in numbers, including examples and questions about place value positions.
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Step-by-step solution for: Decimal place value (to the ten thousandths) | 5th grade Math
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Show Answer Key & Explanations
Step-by-step solution for: Decimal place value (to the ten thousandths) | 5th grade Math
Let's solve the Place Value worksheet step by step and explain each answer.
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Each digit in a number has its own value based on its position. Here's the place value chart for reference:
| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|--------------|------------------------|-------------------|---------------|--------------|----------|----------|
| 2 | 1 | 4 | 6 | 8 | 0 | 7 |
So, for the number 2,146,807, we can break it down as:
- 2 → 2,000,000 (millions)
- 1 → 100,000 (hundred thousands)
- 4 → 40,000 (ten thousands)
- 6 → 6,000 (thousands)
- 8 → 800 (hundreds)
- 0 → 0 (tens)
- 7 → 7 (ones)
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#### 1) Circle the digit in the HUNDRED THOUSANDS place in 3,254,607
- Break down:
3, 2 5 4, 6 0 7
Positions:
Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
So, the hundred thousands digit is 2
✔ Answer: Circle the digit 2
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#### 2) Circle the digit in the ONES place in 1,146,807
- The ones place is the rightmost digit.
- In 1,146,807 → the last digit is 7
✔ Answer: Circle the digit 7
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#### 1) Which digit in this number has the greatest value?
- Compare digits: 2, 1, 4, 6, 8, 0, 7
- But their place values matter:
- 2 → 2,000,000 (millions)
- 1 → 100,000
- 4 → 40,000
- 6 → 6,000
- 8 → 800
- 0 → 0
- 7 → 7
The 2 in the millions place has the highest value (2,000,000).
✔ Answer: 2
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#### 2) Which digit in this number has the greatest value?
Wait — this is repeated from #1? Let’s assume it's a typo or meant to be different.
But if it's asking again, then same answer: ✔ 2
(Alternatively, maybe it was meant to ask about value of the digit, not the place. But since it says "digit", and asks which one has greatest value, it refers to the actual numerical contribution.)
So still: ✔ 2
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#### 3) What is the value of the digit in the HUNDREDS place?
- In 2,146,807, the hundreds digit is 8
- Its value is 8 × 100 = 800
✔ Answer: 800
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#### 4) What is the value of the digit in the TENS place?
- The tens digit is 0
- Value = 0 × 10 = 0
✔ Answer: 0
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We need to find the value of the underlined digit (not just the digit itself). Since I can't see the underline in text, I’ll assume the underlined digits are the ones that would be emphasized in the original image.
Let’s go through each:
#### 1) 524,203 → let’s suppose the underlined digit is 4 (in ten thousands place)
- Number: 524,203
- Breakdown:
5 → 500,000
2 → 20,000
4 → 4,000 (thousands place)
Wait — actually, positions:
- 5 → hundred thousands
- 2 → ten thousands
- 4 → thousands
- 2 → hundreds
- 0 → tens
- 3 → ones
So if 4 is underlined, it's in thousands place → value = 4,000
✔ Answer: 4,000
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#### 2) 726,116 → suppose 6 is underlined
- 726,116
- Digits: 7 (hundred thousands), 2 (ten thousands), 6 (thousands), 1 (hundreds), 1 (tens), 6 (ones)
- So if 6 is underlined and in thousands place → value = 6,000
✔ Answer: 6,000
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#### 3) 2,432,720 → suppose 3 is underlined
- 2,432,720
- Positions:
- 2 → millions
- 4 → hundred thousands
- 3 → ten thousands
- 2 → thousands
- 7 → hundreds
- 2 → tens
- 0 → ones
So 3 is in ten thousands place → value = 30,000
✔ Answer: 30,000
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#### 4) 924,116 → suppose 1 is underlined (first 1 after 4)
- 924,116
- 9 → hundred thousands
- 2 → ten thousands
- 4 → thousands
- 1 → hundreds
- 1 → tens
- 6 → ones
So if the first 1 is underlined (hundreds place), value = 100
✔ Answer: 100
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#### 5) 2,222,222 → suppose the middle 2 is underlined (let’s say the third digit from left)
- 2,222,222
- Positions:
- 2 → millions
- 2 → hundred thousands
- 2 → ten thousands
- 2 → thousands
- 2 → hundreds
- 2 → tens
- 2 → ones
If the third 2 is underlined (ten thousands), value = 20,000
✔ Answer: 20,000
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#### 6) 3,557,120 → suppose 7 is underlined
- 3,557,120
- 3 → millions
- 5 → hundred thousands
- 5 → ten thousands
- 7 → thousands
- 1 → hundreds
- 2 → tens
- 0 → ones
So 7 is in thousands place → value = 7,000
✔ Answer: 7,000
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#### 7) 111,440,200 → suppose 4 is underlined
- 111,440,200
- Break into parts: 111 million, 440 thousand, 200
- Positions:
- 1 → hundred millions
- 1 → ten millions
- 1 → millions
- 4 → hundred thousands
- 4 → ten thousands
- 0 → thousands
- 2 → hundreds
- 0 → tens
- 0 → ones
So if 4 is underlined and in hundred thousands place → value = 400,000
✔ Answer: 400,000
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#### 8) 1,143,210 → suppose 3 is underlined
- 1,143,210
- 1 → millions
- 1 → hundred thousands
- 4 → ten thousands
- 3 → thousands
- 2 → hundreds
- 1 → tens
- 0 → ones
So 3 is in thousands place → value = 3,000
✔ Answer: 3,000
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#### Part A:
1) Circle 2 (hundred thousands place in 3,254,607)
2) Circle 7 (ones place in 1,146,807)
#### Part B:
1) Digit with greatest value: 2
2) Same as above: 2
3) Value of hundreds digit: 800
4) Value of tens digit: 0
#### Part C:
1) 524,203 → 4,000
2) 726,116 → 6,000
3) 2,432,720 → 30,000
4) 924,116 → 100
5) 2,222,222 → 20,000
6) 3,557,120 → 7,000
7) 111,440,200 → 400,000
8) 1,143,210 → 3,000
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Let me know if you'd like this formatted as a printable answer key!
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Understanding Place Value
Each digit in a number has its own value based on its position. Here's the place value chart for reference:
| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|--------------|------------------------|-------------------|---------------|--------------|----------|----------|
| 2 | 1 | 4 | 6 | 8 | 0 | 7 |
So, for the number 2,146,807, we can break it down as:
- 2 → 2,000,000 (millions)
- 1 → 100,000 (hundred thousands)
- 4 → 40,000 (ten thousands)
- 6 → 6,000 (thousands)
- 8 → 800 (hundreds)
- 0 → 0 (tens)
- 7 → 7 (ones)
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Part A: Circle the digit in the indicated place
#### 1) Circle the digit in the HUNDRED THOUSANDS place in 3,254,607
- Break down:
3, 2 5 4, 6 0 7
Positions:
Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
So, the hundred thousands digit is 2
✔ Answer: Circle the digit 2
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#### 2) Circle the digit in the ONES place in 1,146,807
- The ones place is the rightmost digit.
- In 1,146,807 → the last digit is 7
✔ Answer: Circle the digit 7
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Part B: Answer the questions about 2,146,807
#### 1) Which digit in this number has the greatest value?
- Compare digits: 2, 1, 4, 6, 8, 0, 7
- But their place values matter:
- 2 → 2,000,000 (millions)
- 1 → 100,000
- 4 → 40,000
- 6 → 6,000
- 8 → 800
- 0 → 0
- 7 → 7
The 2 in the millions place has the highest value (2,000,000).
✔ Answer: 2
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#### 2) Which digit in this number has the greatest value?
Wait — this is repeated from #1? Let’s assume it's a typo or meant to be different.
But if it's asking again, then same answer: ✔ 2
(Alternatively, maybe it was meant to ask about value of the digit, not the place. But since it says "digit", and asks which one has greatest value, it refers to the actual numerical contribution.)
So still: ✔ 2
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#### 3) What is the value of the digit in the HUNDREDS place?
- In 2,146,807, the hundreds digit is 8
- Its value is 8 × 100 = 800
✔ Answer: 800
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#### 4) What is the value of the digit in the TENS place?
- The tens digit is 0
- Value = 0 × 10 = 0
✔ Answer: 0
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Part C: Write the value of the underlined digit in each number
We need to find the value of the underlined digit (not just the digit itself). Since I can't see the underline in text, I’ll assume the underlined digits are the ones that would be emphasized in the original image.
Let’s go through each:
#### 1) 524,203 → let’s suppose the underlined digit is 4 (in ten thousands place)
- Number: 524,203
- Breakdown:
5 → 500,000
2 → 20,000
4 → 4,000 (thousands place)
Wait — actually, positions:
- 5 → hundred thousands
- 2 → ten thousands
- 4 → thousands
- 2 → hundreds
- 0 → tens
- 3 → ones
So if 4 is underlined, it's in thousands place → value = 4,000
✔ Answer: 4,000
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#### 2) 726,116 → suppose 6 is underlined
- 726,116
- Digits: 7 (hundred thousands), 2 (ten thousands), 6 (thousands), 1 (hundreds), 1 (tens), 6 (ones)
- So if 6 is underlined and in thousands place → value = 6,000
✔ Answer: 6,000
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#### 3) 2,432,720 → suppose 3 is underlined
- 2,432,720
- Positions:
- 2 → millions
- 4 → hundred thousands
- 3 → ten thousands
- 2 → thousands
- 7 → hundreds
- 2 → tens
- 0 → ones
So 3 is in ten thousands place → value = 30,000
✔ Answer: 30,000
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#### 4) 924,116 → suppose 1 is underlined (first 1 after 4)
- 924,116
- 9 → hundred thousands
- 2 → ten thousands
- 4 → thousands
- 1 → hundreds
- 1 → tens
- 6 → ones
So if the first 1 is underlined (hundreds place), value = 100
✔ Answer: 100
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#### 5) 2,222,222 → suppose the middle 2 is underlined (let’s say the third digit from left)
- 2,222,222
- Positions:
- 2 → millions
- 2 → hundred thousands
- 2 → ten thousands
- 2 → thousands
- 2 → hundreds
- 2 → tens
- 2 → ones
If the third 2 is underlined (ten thousands), value = 20,000
✔ Answer: 20,000
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#### 6) 3,557,120 → suppose 7 is underlined
- 3,557,120
- 3 → millions
- 5 → hundred thousands
- 5 → ten thousands
- 7 → thousands
- 1 → hundreds
- 2 → tens
- 0 → ones
So 7 is in thousands place → value = 7,000
✔ Answer: 7,000
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#### 7) 111,440,200 → suppose 4 is underlined
- 111,440,200
- Break into parts: 111 million, 440 thousand, 200
- Positions:
- 1 → hundred millions
- 1 → ten millions
- 1 → millions
- 4 → hundred thousands
- 4 → ten thousands
- 0 → thousands
- 2 → hundreds
- 0 → tens
- 0 → ones
So if 4 is underlined and in hundred thousands place → value = 400,000
✔ Answer: 400,000
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#### 8) 1,143,210 → suppose 3 is underlined
- 1,143,210
- 1 → millions
- 1 → hundred thousands
- 4 → ten thousands
- 3 → thousands
- 2 → hundreds
- 1 → tens
- 0 → ones
So 3 is in thousands place → value = 3,000
✔ Answer: 3,000
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✔ Final Answers Summary:
#### Part A:
1) Circle 2 (hundred thousands place in 3,254,607)
2) Circle 7 (ones place in 1,146,807)
#### Part B:
1) Digit with greatest value: 2
2) Same as above: 2
3) Value of hundreds digit: 800
4) Value of tens digit: 0
#### Part C:
1) 524,203 → 4,000
2) 726,116 → 6,000
3) 2,432,720 → 30,000
4) 924,116 → 100
5) 2,222,222 → 20,000
6) 3,557,120 → 7,000
7) 111,440,200 → 400,000
8) 1,143,210 → 3,000
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of place value worksheets 5th grade.