Writing Place Value worksheet for Grade 6 students to practice arranging numbers in a place value chart.
Grade 6 math worksheet on writing place value with a number system chart for millions, thousands, and units.
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Step-by-step solution for: Place Value Worksheets Grade 6 | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets Grade 6 | Grade1to6.com
Let’s solve this step by step.
We are given numbers with commas, and we need to break them down into their place values using the chart provided. The chart has columns for:
- Millions: Hundred Millions, Ten Millions, One Million
- Thousands: Hundred Thousands, Ten Thousands, Thousands
- Units: Hundreds, Tens, Ones
The first number is already filled in as an example:
19,49,397 → which means:
- 1 in Ten Millions
- 9 in One Million
- 4 in Hundred Thousands
- 9 in Ten Thousands
- 3 in Hundreds
- 9 in Tens
- 7 in Ones
Wait — actually, looking at the example again:
The number is written as 19,49,397 — this is using the Indian numbering system (where commas separate thousands, lakhs, etc.). But the place value chart uses standard international grouping: Millions, Thousands, Units.
Actually, let’s re-express the numbers properly.
In the Indian system:
- First comma from right = thousands
- Second comma = lakhs (1,00,000)
- Third comma = crores (1,00,00,000)
But the chart here is labeled with “Millions”, “Thousands”, “Units” — which suggests it’s using the international system.
However, looking at the example:
Number: 19,49,397
If we interpret this as per Indian system:
→ 19,49,397 = 19 lakh, 49 thousand, 397
= 1,949,397 in international format.
Now, breaking 1,949,397 into place values:
- Hundred Millions: 0
- Ten Millions: 1
- One Million: 9
- Hundred Thousands: 4
- Ten Thousands: 9
- Thousands: 3
- Hundreds: 3
- Tens: 9
- Ones: 7
But in the example, they have:
Boxes: [ ][ ][1][9][4][9][3][9][7]
That matches:
Ten Millions: 1
One Million: 9
Hundred Thousands: 4
Ten Thousands: 9
Thousands: 3
Hundreds: 3? Wait — no, in the example, the last three boxes are 3, 9, 7 — which should be Hundreds, Tens, Ones.
But 1,949,397 → hundreds digit is 3, tens is 9, ones is 7 — correct.
So the number 19,49,397 in Indian notation equals 1,949,397 internationally.
Therefore, to solve all problems, we must convert each Indian-style number to international format, then assign digits to the correct place value columns.
Let’s do that for each number.
---
Problem 2: 43,74,532
Indian system: 43 lakh, 74 thousand, 532
→ International: 4,374,532
Place values:
- Hundred Millions: 0
- Ten Millions: 4
- One Million: 3
- Hundred Thousands: 7
- Ten Thousands: 4
- Thousands: 5
- Hundreds: 5
- Tens: 3
- Ones: 2
So boxes: [0][4][3][7][4][5][5][3][2]
But since the chart doesn’t require leading zeros (and the example didn’t put 0 in Hundred Millions), we can leave blank or put 0? Looking at example: they put 1 in Ten Millions, not 0 in Hundred Millions — so probably we only fill non-zero digits? But the boxes are there for all positions.
Actually, in the example, they filled all 9 boxes: [ ][ ][1][9][4][9][3][9][7] — wait, no — looking back:
In the image, for problem 1, the boxes are:
[ ][ ][1][9][4][9][3][9][7]
That’s 9 boxes — matching the 9 columns.
And they put 1 in “One Million”? Wait no — let’s map the columns again.
Columns from left to right:
1. Hundred Millions
2. Ten Millions
3. One Million
4. Hundred Thousands
5. Ten Thousands
6. Thousands
7. Hundreds
8. Tens
9. Ones
For 19,49,397 → which is 1,949,397
Digits:
- Hundred Millions: 0 → but they left it blank? Or did they put nothing?
Looking at the image: the first two boxes are empty, then 1, 9, 4, 9, 3, 9, 7.
So they are not writing leading zeros — they just leave the higher place value boxes blank if zero.
But in the answer, we should fill the digits in the correct boxes, leaving blanks for leading zeros? Or should we write 0?
The instruction says: “Arrange the number in the place value chart as shown below.”
And in the example, they have:
For 19,49,397 → boxes: _ _ 1 9 4 9 3 9 7
Which corresponds to:
Hundred Millions: blank (0)
Ten Millions: 1
One Million: 9
Hundred Thousands: 4
Ten Thousands: 9
Thousands: 3
Hundreds: 3? Wait no — 1,949,397 → thousands digit is 9? Let's write it out:
1,949,397
Breakdown:
- 1 → millions (one million)
- 9 → hundred thousands? No:
Standard place value for 1,949,397:
Position:
- 1,000,000 → 1 (millions)
- 900,000 → 9 (hundred thousands)
- 40,000 → 4 (ten thousands)
- 9,000 → 9 (thousands)
- 300 → 3 (hundreds)
- 90 → 9 (tens)
- 7 → 7 (ones)
But in the chart, the columns are:
Millions: Hundred Millions, Ten Millions, One Million
Then Thousands: Hundred Thousands, Ten Thousands, Thousands
Then Units: Hundreds, Tens, Ones
So for 1,949,397:
- Hundred Millions: 0
- Ten Millions: 0
- One Million: 1
- Hundred Thousands: 9
- Ten Thousands: 4
- Thousands: 9
- Hundreds: 3
- Tens: 9
- Ones: 7
But in the example, they have: [ ][ ][1][9][4][9][3][9][7]
Which would be:
Box 1 (Hundred Millions): blank → 0
Box 2 (Ten Millions): blank → 0
Box 3 (One Million): 1
Box 4 (Hundred Thousands): 9
Box 5 (Ten Thousands): 4
Box 6 (Thousands): 9
Box 7 (Hundreds): 3
Box 8 (Tens): 9
Box 9 (Ones): 7
Yes! That matches 1,949,397.
But the number was written as 19,49,397 — which in Indian system is 19 lakh 49 thousand 397 = 1,949,397 — correct.
So for each number, we convert from Indian comma format to international, then assign digits to the 9 place value columns, leaving leading zeros blank (as in example).
Now let’s solve each one.
---
2. 43,74,532
Indian: 43 lakh, 74 thousand, 532 → 4,374,532
Digits:
- Hundred Millions: 0 → blank
- Ten Millions: 4
- One Million: 3
- Hundred Thousands: 7
- Ten Thousands: 4
- Thousands: 5
- Hundreds: 5
- Tens: 3
- Ones: 2
Boxes: [ ][4][3][7][4][5][5][3][2]
---
3. 15,14,505
Indian: 15 lakh, 14 thousand, 505 → 1,514,505
Digits:
- HM: 0 → blank
- TM: 1
- OM: 5
- HT: 1
- TT: 4
- Th: 5
- H: 5
- T: 0
- O: 5
Boxes: [ ][1][5][1][4][5][5][0][5]
---
4. 30,96,12,657
This has three commas — in Indian system, that’s 30 crore, 96 lakh, 12 thousand, 657
So: 30,96,12,657 = 309,612,657
Now, 309,612,657
Place values:
- Hundred Millions: 3
- Ten Millions: 0
- One Million: 9
- Hundred Thousands: 6
- Ten Thousands: 1
- Thousands: 2
- Hundreds: 6
- Tens: 5
- Ones: 7
Boxes: [3][0][9][6][1][2][6][5][7]
Note: Here, Ten Millions is 0, but we still write it because it’s not a leading zero — it’s in the middle. In the example, they left leading zeros blank, but internal zeros should be written.
In the example, for 1,949,397, Ten Millions was 0 and they left it blank — but that was leading. For 309 million, Ten Millions is 0 but it’s between 3 and 9, so we should write 0.
Confirming: 309,612,657
- 300,000,000 → 3 in Hundred Millions
- 0 → Ten Millions
- 9,000,000 → 9 in One Million
- etc.
Yes, so we write 0 in Ten Millions.
Similarly, in problem 1, they didn't have any internal zeros, so no issue.
So for this, boxes: [3][0][9][6][1][2][6][5][7]
---
5. 22,05,217
Indian: 22 lakh, 5 thousand, 217 → 2,205,217
Digits:
- HM: 0 → blank
- TM: 2
- OM: 2
- HT: 0
- TT: 5
- Th: 2
- H: 2
- T: 1
- O: 7
Boxes: [ ][2][2][0][5][2][2][1][7]
HT is 0, but it’s not leading, so write 0.
---
6. 8,44,98,744
Indian: 8 crore, 44 lakh, 98 thousand, 744 → 84,498,744
84,498,744
- HM: 0 → blank
- TM: 8
- OM: 4
- HT: 4
- TT: 9
- Th: 8
- H: 7
- T: 4
- O: 4
Boxes: [ ][8][4][4][9][8][7][4][4]
---
7. 23,21,45,061
Indian: 23 crore, 21 lakh, 45 thousand, 61 → 232,145,061
232,145,061
- HM: 2
- TM: 3
- OM: 2
- HT: 1
- TT: 4
- Th: 5
- H: 0
- T: 6
- O: 1
Boxes: [2][3][2][1][4][5][0][6][1]
H is 0, write it.
---
8. 85,79,81,733
Indian: 85 crore, 79 lakh, 81 thousand, 733 → 857,981,733
857,981,733
- HM: 8
- TM: 5
- OM: 7
- HT: 9
- TT: 8
- Th: 1
- H: 7
- T: 3
- O: 3
Boxes: [8][5][7][9][8][1][7][3][3]
---
9. 6,23,39,262
Indian: 6 crore, 23 lakh, 39 thousand, 262 → 62,339,262
62,339,262
- HM: 0 → blank
- TM: 6
- OM: 2
- HT: 3
- TT: 3
- Th: 9
- H: 2
- T: 6
- O: 2
Boxes: [ ][6][2][3][3][9][2][6][2]
---
10. 57,40,49,097
Indian: 57 crore, 40 lakh, 49 thousand, 97 → 574,049,097
574,049,097
- HM: 5
- TM: 7
- OM: 4
- HT: 0
- TT: 4
- Th: 9
- H: 0
- T: 9
- O: 7
Boxes: [5][7][4][0][4][9][0][9][7]
HT and H are 0, write them.
---
11. 52,92,218
Indian: 52 lakh, 92 thousand, 218 → 5,292,218
5,292,218
- HM: 0 → blank
- TM: 5
- OM: 2
- HT: 9
- TT: 2
- Th: 2
- H: 2
- T: 1
- O: 8
Boxes: [ ][5][2][9][2][2][2][1][8]
---
12. 5,14,52,727
Indian: 5 crore, 14 lakh, 52 thousand, 727 → 51,452,727
51,452,727
- HM: 0 → blank
- TM: 5
- OM: 1
- HT: 4
- TT: 5
- Th: 2
- H: 7
- T: 2
- O: 7
Boxes: [ ][5][1][4][5][2][7][2][7]
---
Now, compiling all answers:
2. [ ][4][3][7][4][5][5][3][2]
3. [ ][1][5][1][4][5][5][0][5]
4. [3][0][9][6][1][2][6][5][7]
5. [ ][2][2][0][5][2][2][1][7]
6. [ ][8][4][4][9][8][7][4][4]
7. [2][3][2][1][4][5][0][6][1]
8. [8][5][7][9][8][1][7][3][3]
9. [ ][6][2][3][3][9][2][6][2]
10. [5][7][4][0][4][9][0][9][7]
11. [ ][5][2][9][2][2][2][1][8]
12. [ ][5][1][4][5][2][7][2][7]
Final Answer:
2. [ ][4][3][7][4][5][5][3][2]
3. [ ][1][5][1][4][5][5][0][5]
4. [3][0][9][6][1][2][6][5][7]
5. [ ][2][2][0][5][2][2][1][7]
6. [ ][8][4][4][9][8][7][4][4]
7. [2][3][2][1][4][5][0][6][1]
8. [8][5][7][9][8][1][7][3][3]
9. [ ][6][2][3][3][9][2][6][2]
10. [5][7][4][0][4][9][0][9][7]
11. [ ][5][2][9][2][2][2][1][8]
12. [ ][5][1][4][5][2][7][2][7]
We are given numbers with commas, and we need to break them down into their place values using the chart provided. The chart has columns for:
- Millions: Hundred Millions, Ten Millions, One Million
- Thousands: Hundred Thousands, Ten Thousands, Thousands
- Units: Hundreds, Tens, Ones
The first number is already filled in as an example:
19,49,397 → which means:
- 1 in Ten Millions
- 9 in One Million
- 4 in Hundred Thousands
- 9 in Ten Thousands
- 3 in Hundreds
- 9 in Tens
- 7 in Ones
Wait — actually, looking at the example again:
The number is written as 19,49,397 — this is using the Indian numbering system (where commas separate thousands, lakhs, etc.). But the place value chart uses standard international grouping: Millions, Thousands, Units.
Actually, let’s re-express the numbers properly.
In the Indian system:
- First comma from right = thousands
- Second comma = lakhs (1,00,000)
- Third comma = crores (1,00,00,000)
But the chart here is labeled with “Millions”, “Thousands”, “Units” — which suggests it’s using the international system.
However, looking at the example:
Number: 19,49,397
If we interpret this as per Indian system:
→ 19,49,397 = 19 lakh, 49 thousand, 397
= 1,949,397 in international format.
Now, breaking 1,949,397 into place values:
- Hundred Millions: 0
- Ten Millions: 1
- One Million: 9
- Hundred Thousands: 4
- Ten Thousands: 9
- Thousands: 3
- Hundreds: 3
- Tens: 9
- Ones: 7
But in the example, they have:
Boxes: [ ][ ][1][9][4][9][3][9][7]
That matches:
Ten Millions: 1
One Million: 9
Hundred Thousands: 4
Ten Thousands: 9
Thousands: 3
Hundreds: 3? Wait — no, in the example, the last three boxes are 3, 9, 7 — which should be Hundreds, Tens, Ones.
But 1,949,397 → hundreds digit is 3, tens is 9, ones is 7 — correct.
So the number 19,49,397 in Indian notation equals 1,949,397 internationally.
Therefore, to solve all problems, we must convert each Indian-style number to international format, then assign digits to the correct place value columns.
Let’s do that for each number.
---
Problem 2: 43,74,532
Indian system: 43 lakh, 74 thousand, 532
→ International: 4,374,532
Place values:
- Hundred Millions: 0
- Ten Millions: 4
- One Million: 3
- Hundred Thousands: 7
- Ten Thousands: 4
- Thousands: 5
- Hundreds: 5
- Tens: 3
- Ones: 2
So boxes: [0][4][3][7][4][5][5][3][2]
But since the chart doesn’t require leading zeros (and the example didn’t put 0 in Hundred Millions), we can leave blank or put 0? Looking at example: they put 1 in Ten Millions, not 0 in Hundred Millions — so probably we only fill non-zero digits? But the boxes are there for all positions.
Actually, in the example, they filled all 9 boxes: [ ][ ][1][9][4][9][3][9][7] — wait, no — looking back:
In the image, for problem 1, the boxes are:
[ ][ ][1][9][4][9][3][9][7]
That’s 9 boxes — matching the 9 columns.
And they put 1 in “One Million”? Wait no — let’s map the columns again.
Columns from left to right:
1. Hundred Millions
2. Ten Millions
3. One Million
4. Hundred Thousands
5. Ten Thousands
6. Thousands
7. Hundreds
8. Tens
9. Ones
For 19,49,397 → which is 1,949,397
Digits:
- Hundred Millions: 0 → but they left it blank? Or did they put nothing?
Looking at the image: the first two boxes are empty, then 1, 9, 4, 9, 3, 9, 7.
So they are not writing leading zeros — they just leave the higher place value boxes blank if zero.
But in the answer, we should fill the digits in the correct boxes, leaving blanks for leading zeros? Or should we write 0?
The instruction says: “Arrange the number in the place value chart as shown below.”
And in the example, they have:
For 19,49,397 → boxes: _ _ 1 9 4 9 3 9 7
Which corresponds to:
Hundred Millions: blank (0)
Ten Millions: 1
One Million: 9
Hundred Thousands: 4
Ten Thousands: 9
Thousands: 3
Hundreds: 3? Wait no — 1,949,397 → thousands digit is 9? Let's write it out:
1,949,397
Breakdown:
- 1 → millions (one million)
- 9 → hundred thousands? No:
Standard place value for 1,949,397:
Position:
- 1,000,000 → 1 (millions)
- 900,000 → 9 (hundred thousands)
- 40,000 → 4 (ten thousands)
- 9,000 → 9 (thousands)
- 300 → 3 (hundreds)
- 90 → 9 (tens)
- 7 → 7 (ones)
But in the chart, the columns are:
Millions: Hundred Millions, Ten Millions, One Million
Then Thousands: Hundred Thousands, Ten Thousands, Thousands
Then Units: Hundreds, Tens, Ones
So for 1,949,397:
- Hundred Millions: 0
- Ten Millions: 0
- One Million: 1
- Hundred Thousands: 9
- Ten Thousands: 4
- Thousands: 9
- Hundreds: 3
- Tens: 9
- Ones: 7
But in the example, they have: [ ][ ][1][9][4][9][3][9][7]
Which would be:
Box 1 (Hundred Millions): blank → 0
Box 2 (Ten Millions): blank → 0
Box 3 (One Million): 1
Box 4 (Hundred Thousands): 9
Box 5 (Ten Thousands): 4
Box 6 (Thousands): 9
Box 7 (Hundreds): 3
Box 8 (Tens): 9
Box 9 (Ones): 7
Yes! That matches 1,949,397.
But the number was written as 19,49,397 — which in Indian system is 19 lakh 49 thousand 397 = 1,949,397 — correct.
So for each number, we convert from Indian comma format to international, then assign digits to the 9 place value columns, leaving leading zeros blank (as in example).
Now let’s solve each one.
---
2. 43,74,532
Indian: 43 lakh, 74 thousand, 532 → 4,374,532
Digits:
- Hundred Millions: 0 → blank
- Ten Millions: 4
- One Million: 3
- Hundred Thousands: 7
- Ten Thousands: 4
- Thousands: 5
- Hundreds: 5
- Tens: 3
- Ones: 2
Boxes: [ ][4][3][7][4][5][5][3][2]
---
3. 15,14,505
Indian: 15 lakh, 14 thousand, 505 → 1,514,505
Digits:
- HM: 0 → blank
- TM: 1
- OM: 5
- HT: 1
- TT: 4
- Th: 5
- H: 5
- T: 0
- O: 5
Boxes: [ ][1][5][1][4][5][5][0][5]
---
4. 30,96,12,657
This has three commas — in Indian system, that’s 30 crore, 96 lakh, 12 thousand, 657
So: 30,96,12,657 = 309,612,657
Now, 309,612,657
Place values:
- Hundred Millions: 3
- Ten Millions: 0
- One Million: 9
- Hundred Thousands: 6
- Ten Thousands: 1
- Thousands: 2
- Hundreds: 6
- Tens: 5
- Ones: 7
Boxes: [3][0][9][6][1][2][6][5][7]
Note: Here, Ten Millions is 0, but we still write it because it’s not a leading zero — it’s in the middle. In the example, they left leading zeros blank, but internal zeros should be written.
In the example, for 1,949,397, Ten Millions was 0 and they left it blank — but that was leading. For 309 million, Ten Millions is 0 but it’s between 3 and 9, so we should write 0.
Confirming: 309,612,657
- 300,000,000 → 3 in Hundred Millions
- 0 → Ten Millions
- 9,000,000 → 9 in One Million
- etc.
Yes, so we write 0 in Ten Millions.
Similarly, in problem 1, they didn't have any internal zeros, so no issue.
So for this, boxes: [3][0][9][6][1][2][6][5][7]
---
5. 22,05,217
Indian: 22 lakh, 5 thousand, 217 → 2,205,217
Digits:
- HM: 0 → blank
- TM: 2
- OM: 2
- HT: 0
- TT: 5
- Th: 2
- H: 2
- T: 1
- O: 7
Boxes: [ ][2][2][0][5][2][2][1][7]
HT is 0, but it’s not leading, so write 0.
---
6. 8,44,98,744
Indian: 8 crore, 44 lakh, 98 thousand, 744 → 84,498,744
84,498,744
- HM: 0 → blank
- TM: 8
- OM: 4
- HT: 4
- TT: 9
- Th: 8
- H: 7
- T: 4
- O: 4
Boxes: [ ][8][4][4][9][8][7][4][4]
---
7. 23,21,45,061
Indian: 23 crore, 21 lakh, 45 thousand, 61 → 232,145,061
232,145,061
- HM: 2
- TM: 3
- OM: 2
- HT: 1
- TT: 4
- Th: 5
- H: 0
- T: 6
- O: 1
Boxes: [2][3][2][1][4][5][0][6][1]
H is 0, write it.
---
8. 85,79,81,733
Indian: 85 crore, 79 lakh, 81 thousand, 733 → 857,981,733
857,981,733
- HM: 8
- TM: 5
- OM: 7
- HT: 9
- TT: 8
- Th: 1
- H: 7
- T: 3
- O: 3
Boxes: [8][5][7][9][8][1][7][3][3]
---
9. 6,23,39,262
Indian: 6 crore, 23 lakh, 39 thousand, 262 → 62,339,262
62,339,262
- HM: 0 → blank
- TM: 6
- OM: 2
- HT: 3
- TT: 3
- Th: 9
- H: 2
- T: 6
- O: 2
Boxes: [ ][6][2][3][3][9][2][6][2]
---
10. 57,40,49,097
Indian: 57 crore, 40 lakh, 49 thousand, 97 → 574,049,097
574,049,097
- HM: 5
- TM: 7
- OM: 4
- HT: 0
- TT: 4
- Th: 9
- H: 0
- T: 9
- O: 7
Boxes: [5][7][4][0][4][9][0][9][7]
HT and H are 0, write them.
---
11. 52,92,218
Indian: 52 lakh, 92 thousand, 218 → 5,292,218
5,292,218
- HM: 0 → blank
- TM: 5
- OM: 2
- HT: 9
- TT: 2
- Th: 2
- H: 2
- T: 1
- O: 8
Boxes: [ ][5][2][9][2][2][2][1][8]
---
12. 5,14,52,727
Indian: 5 crore, 14 lakh, 52 thousand, 727 → 51,452,727
51,452,727
- HM: 0 → blank
- TM: 5
- OM: 1
- HT: 4
- TT: 5
- Th: 2
- H: 7
- T: 2
- O: 7
Boxes: [ ][5][1][4][5][2][7][2][7]
---
Now, compiling all answers:
2. [ ][4][3][7][4][5][5][3][2]
3. [ ][1][5][1][4][5][5][0][5]
4. [3][0][9][6][1][2][6][5][7]
5. [ ][2][2][0][5][2][2][1][7]
6. [ ][8][4][4][9][8][7][4][4]
7. [2][3][2][1][4][5][0][6][1]
8. [8][5][7][9][8][1][7][3][3]
9. [ ][6][2][3][3][9][2][6][2]
10. [5][7][4][0][4][9][0][9][7]
11. [ ][5][2][9][2][2][2][1][8]
12. [ ][5][1][4][5][2][7][2][7]
Final Answer:
2. [ ][4][3][7][4][5][5][3][2]
3. [ ][1][5][1][4][5][5][0][5]
4. [3][0][9][6][1][2][6][5][7]
5. [ ][2][2][0][5][2][2][1][7]
6. [ ][8][4][4][9][8][7][4][4]
7. [2][3][2][1][4][5][0][6][1]
8. [8][5][7][9][8][1][7][3][3]
9. [ ][6][2][3][3][9][2][6][2]
10. [5][7][4][0][4][9][0][9][7]
11. [ ][5][2][9][2][2][2][1][8]
12. [ ][5][1][4][5][2][7][2][7]
Parent Tip: Review the logic above to help your child master the concept of place value worksheet up to millions.