4th Grade Place Value Worksheets - Free Printable
Educational worksheet: 4th Grade Place Value Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: 4th Grade Place Value Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Place Value Worksheets
Sure! Let’s solve each problem step by step. The goal is to convert the given expanded form (in terms of thousands, hundreds, tens, and ones) into standard form — that is, a regular number like 12,345.
We’ll use place value:
- 1 ten thousand = 10,000
- 1 thousand = 1,000
- 1 hundred = 100
- 1 ten = 10
- 1 one = 1
Sometimes we have more than 9 in a place (like 14 tens or 28 hundreds), so we need to regroup — just like carrying in addition.
---
Let’s go one by one:
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1) 8 thousands + 14 tens + 5 ones
- 8 thousands = 8,000
- 14 tens = 140 → which is 1 hundred and 4 tens → so we regroup: add 1 to hundreds, leave 4 in tens
- 5 ones = 5
→ So: 8,000 + 100 + 40 + 5 = 8,145
✔ Answer: 8,145
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2) 15 thousands + 6 hundreds + 5 tens + 9 ones
- 15 thousands = 15,000
- 6 hundreds = 600
- 5 tens = 50
- 9 ones = 9
→ Add them: 15,000 + 600 = 15,600; +50 = 15,650; +9 = 15,659
✔ Answer: 15,659
---
3) 4 ten thousands + 13 hundreds + 5 ones
- 4 ten thousands = 40,000
- 13 hundreds = 1,300 → which is 1 thousand and 3 hundreds → regroup!
- 5 ones = 5
→ So: 40,000 + 1,000 = 41,000; + 300 = 41,300; +5 = 41,305
✔ Answer: 41,305
---
4) 2 ten thousands + 8 hundreds + 29 ones
- 2 ten thousands = 20,000
- 8 hundreds = 800
- 29 ones = 29 → which is 2 tens and 9 ones → regroup!
→ So: 20,000 + 800 = 20,800; + 20 = 20,820; +9 = 20,829
✔ Answer: 20,829
---
5) 72 thousands + 5 hundreds + 8 tens + 2 ones
- 72 thousands = 72,000
- 5 hundreds = 500
- 8 tens = 80
- 2 ones = 2
→ 72,000 + 500 = 72,500; +80 = 72,580; +2 = 72,582
✔ Answer: 72,582
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6) 6 ten thousands + 28 hundreds + 4 tens
- 6 ten thousands = 60,000
- 28 hundreds = 2,800 → which is 2 thousands and 8 hundreds → regroup!
- 4 tens = 40
→ So: 60,000 + 2,000 = 62,000; + 800 = 62,800; +40 = 62,840
✔ Answer: 62,840
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7) 8 ten thousands + 2 hundreds + 9 ones
- 8 ten thousands = 80,000
- 2 hundreds = 200
- 9 ones = 9
→ 80,000 + 200 = 80,200; +9 = 80,209
✔ Answer: 80,209
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8) 37 thousands + 6 tens
- 37 thousands = 37,000
- 6 tens = 60
→ 37,000 + 60 = 37,060
✔ Answer: 37,060
---
9) 4 ten thousands + 28 hundreds + 15 ones
- 4 ten thousands = 40,000
- 28 hundreds = 2,800 → 2 thousands + 8 hundreds
- 15 ones = 15 → 1 ten + 5 ones
→ Regroup: 40,000 + 2,000 = 42,000; +800 = 42,800; +10 = 42,810; +5 = 42,815
✔ Answer: 42,815
---
10) 36 thousands + 9 hundreds + 23 ones
- 36 thousands = 36,000
- 9 hundreds = 900
- 23 ones = 23 → 2 tens + 3 ones
→ 36,000 + 900 = 36,900; +20 = 36,920; +3 = 36,923
✔ Answer: 36,923
---
11) 5 ten thousands + 1 thousand + 22 tens + 8 ones
- 5 ten thousands = 50,000
- 1 thousand = 1,000
- 22 tens = 220 → 2 hundreds + 2 tens
- 8 ones = 8
→ 50,000 + 1,000 = 51,000; +200 = 51,200; +20 = 51,220; +8 = 51,228
✔ Answer: 51,228
---
12) 9 ten thousands + 47 hundreds + 3 tens + 6 ones
- 9 ten thousands = 90,000
- 47 hundreds = 4,700 → 4 thousands + 7 hundreds
- 3 tens = 30
- 6 ones = 6
→ 90,000 + 4,000 = 94,000; +700 = 94,700; +30 = 94,730; +6 = 94,736
✔ Answer: 94,736
---
13) 2 ten thousands + 63 tens
- 2 ten thousands = 20,000
- 63 tens = 630 → 6 hundreds + 3 tens
→ 20,000 + 600 = 20,600; +30 = 20,630
✔ Answer: 20,630
---
14) 4 ten thousands + 12 hundreds + 7 ones
- 4 ten thousands = 40,000
- 12 hundreds = 1,200 → 1 thousand + 2 hundreds
- 7 ones = 7
→ 40,000 + 1,000 = 41,000; +200 = 41,200; +7 = 41,207
✔ Answer: 41,207
---
15) 68 thousands + 9 hundreds + 53 ones
- 68 thousands = 68,000
- 9 hundreds = 900
- 53 ones = 53 → 5 tens + 3 ones
→ 68,000 + 900 = 68,900; +50 = 68,950; +3 = 68,953
✔ Answer: 68,953
---
16) 7 ten thousands + 28 tens + 4 ones
- 7 ten thousands = 70,000
- 28 tens = 280 → 2 hundreds + 8 tens
- 4 ones = 4
→ 70,000 + 200 = 70,200; +80 = 70,280; +4 = 70,284
✔ Answer: 70,284
---
17) 2 ten thousands + 6 thousands + 7 hundreds + 62 ones
- 2 ten thousands = 20,000
- 6 thousands = 6,000
- 7 hundreds = 700
- 62 ones = 62 → 6 tens + 2 ones
→ 20,000 + 6,000 = 26,000; +700 = 26,700; +60 = 26,760; +2 = 26,762
✔ Answer: 26,762
---
18) 1 ten thousand + 46 hundreds + 3 ones
- 1 ten thousand = 10,000
- 46 hundreds = 4,600 → 4 thousands + 6 hundreds
- 3 ones = 3
→ 10,000 + 4,000 = 14,000; +600 = 14,600; +3 = 14,603
✔ Answer: 14,603
---
19) 5 ten thousands + 86 hundreds + 19 ones
- 5 ten thousands = 50,000
- 86 hundreds = 8,600 → 8 thousands + 6 hundreds
- 19 ones = 19 → 1 ten + 9 ones
→ 50,000 + 8,000 = 58,000; +600 = 58,600; +10 = 58,610; +9 = 58,619
✔ Answer: 58,619
---
20) 8 ten thousands + 17 hundreds + 5 tens
- 8 ten thousands = 80,000
- 17 hundreds = 1,700 → 1 thousand + 7 hundreds
- 5 tens = 50
→ 80,000 + 1,000 = 81,000; +700 = 81,700; +50 = 81,750
✔ Answer: 81,750
---
## ✔ Final Answers:
1) 8,145
2) 15,659
3) 41,305
4) 20,829
5) 72,582
6) 62,840
7) 80,209
8) 37,060
9) 42,815
10) 36,923
11) 51,228
12) 94,736
13) 20,630
14) 41,207
15) 68,953
16) 70,284
17) 26,762
18) 14,603
19) 58,619
20) 81,750
---
Always check if any group (tens, hundreds, etc.) has more than 9 — then regroup! For example:
- 14 tens → 1 hundred + 4 tens
- 28 hundreds → 2 thousands + 8 hundreds
- 63 tens → 6 hundreds + 3 tens
This is just like “carrying” in addition — it ensures each digit in standard form is between 0–9.
Let me know if you want to see this as a printable answer sheet! 😊
We’ll use place value:
- 1 ten thousand = 10,000
- 1 thousand = 1,000
- 1 hundred = 100
- 1 ten = 10
- 1 one = 1
Sometimes we have more than 9 in a place (like 14 tens or 28 hundreds), so we need to regroup — just like carrying in addition.
---
Let’s go one by one:
---
1) 8 thousands + 14 tens + 5 ones
- 8 thousands = 8,000
- 14 tens = 140 → which is 1 hundred and 4 tens → so we regroup: add 1 to hundreds, leave 4 in tens
- 5 ones = 5
→ So: 8,000 + 100 + 40 + 5 = 8,145
✔ Answer: 8,145
---
2) 15 thousands + 6 hundreds + 5 tens + 9 ones
- 15 thousands = 15,000
- 6 hundreds = 600
- 5 tens = 50
- 9 ones = 9
→ Add them: 15,000 + 600 = 15,600; +50 = 15,650; +9 = 15,659
✔ Answer: 15,659
---
3) 4 ten thousands + 13 hundreds + 5 ones
- 4 ten thousands = 40,000
- 13 hundreds = 1,300 → which is 1 thousand and 3 hundreds → regroup!
- 5 ones = 5
→ So: 40,000 + 1,000 = 41,000; + 300 = 41,300; +5 = 41,305
✔ Answer: 41,305
---
4) 2 ten thousands + 8 hundreds + 29 ones
- 2 ten thousands = 20,000
- 8 hundreds = 800
- 29 ones = 29 → which is 2 tens and 9 ones → regroup!
→ So: 20,000 + 800 = 20,800; + 20 = 20,820; +9 = 20,829
✔ Answer: 20,829
---
5) 72 thousands + 5 hundreds + 8 tens + 2 ones
- 72 thousands = 72,000
- 5 hundreds = 500
- 8 tens = 80
- 2 ones = 2
→ 72,000 + 500 = 72,500; +80 = 72,580; +2 = 72,582
✔ Answer: 72,582
---
6) 6 ten thousands + 28 hundreds + 4 tens
- 6 ten thousands = 60,000
- 28 hundreds = 2,800 → which is 2 thousands and 8 hundreds → regroup!
- 4 tens = 40
→ So: 60,000 + 2,000 = 62,000; + 800 = 62,800; +40 = 62,840
✔ Answer: 62,840
---
7) 8 ten thousands + 2 hundreds + 9 ones
- 8 ten thousands = 80,000
- 2 hundreds = 200
- 9 ones = 9
→ 80,000 + 200 = 80,200; +9 = 80,209
✔ Answer: 80,209
---
8) 37 thousands + 6 tens
- 37 thousands = 37,000
- 6 tens = 60
→ 37,000 + 60 = 37,060
✔ Answer: 37,060
---
9) 4 ten thousands + 28 hundreds + 15 ones
- 4 ten thousands = 40,000
- 28 hundreds = 2,800 → 2 thousands + 8 hundreds
- 15 ones = 15 → 1 ten + 5 ones
→ Regroup: 40,000 + 2,000 = 42,000; +800 = 42,800; +10 = 42,810; +5 = 42,815
✔ Answer: 42,815
---
10) 36 thousands + 9 hundreds + 23 ones
- 36 thousands = 36,000
- 9 hundreds = 900
- 23 ones = 23 → 2 tens + 3 ones
→ 36,000 + 900 = 36,900; +20 = 36,920; +3 = 36,923
✔ Answer: 36,923
---
11) 5 ten thousands + 1 thousand + 22 tens + 8 ones
- 5 ten thousands = 50,000
- 1 thousand = 1,000
- 22 tens = 220 → 2 hundreds + 2 tens
- 8 ones = 8
→ 50,000 + 1,000 = 51,000; +200 = 51,200; +20 = 51,220; +8 = 51,228
✔ Answer: 51,228
---
12) 9 ten thousands + 47 hundreds + 3 tens + 6 ones
- 9 ten thousands = 90,000
- 47 hundreds = 4,700 → 4 thousands + 7 hundreds
- 3 tens = 30
- 6 ones = 6
→ 90,000 + 4,000 = 94,000; +700 = 94,700; +30 = 94,730; +6 = 94,736
✔ Answer: 94,736
---
13) 2 ten thousands + 63 tens
- 2 ten thousands = 20,000
- 63 tens = 630 → 6 hundreds + 3 tens
→ 20,000 + 600 = 20,600; +30 = 20,630
✔ Answer: 20,630
---
14) 4 ten thousands + 12 hundreds + 7 ones
- 4 ten thousands = 40,000
- 12 hundreds = 1,200 → 1 thousand + 2 hundreds
- 7 ones = 7
→ 40,000 + 1,000 = 41,000; +200 = 41,200; +7 = 41,207
✔ Answer: 41,207
---
15) 68 thousands + 9 hundreds + 53 ones
- 68 thousands = 68,000
- 9 hundreds = 900
- 53 ones = 53 → 5 tens + 3 ones
→ 68,000 + 900 = 68,900; +50 = 68,950; +3 = 68,953
✔ Answer: 68,953
---
16) 7 ten thousands + 28 tens + 4 ones
- 7 ten thousands = 70,000
- 28 tens = 280 → 2 hundreds + 8 tens
- 4 ones = 4
→ 70,000 + 200 = 70,200; +80 = 70,280; +4 = 70,284
✔ Answer: 70,284
---
17) 2 ten thousands + 6 thousands + 7 hundreds + 62 ones
- 2 ten thousands = 20,000
- 6 thousands = 6,000
- 7 hundreds = 700
- 62 ones = 62 → 6 tens + 2 ones
→ 20,000 + 6,000 = 26,000; +700 = 26,700; +60 = 26,760; +2 = 26,762
✔ Answer: 26,762
---
18) 1 ten thousand + 46 hundreds + 3 ones
- 1 ten thousand = 10,000
- 46 hundreds = 4,600 → 4 thousands + 6 hundreds
- 3 ones = 3
→ 10,000 + 4,000 = 14,000; +600 = 14,600; +3 = 14,603
✔ Answer: 14,603
---
19) 5 ten thousands + 86 hundreds + 19 ones
- 5 ten thousands = 50,000
- 86 hundreds = 8,600 → 8 thousands + 6 hundreds
- 19 ones = 19 → 1 ten + 9 ones
→ 50,000 + 8,000 = 58,000; +600 = 58,600; +10 = 58,610; +9 = 58,619
✔ Answer: 58,619
---
20) 8 ten thousands + 17 hundreds + 5 tens
- 8 ten thousands = 80,000
- 17 hundreds = 1,700 → 1 thousand + 7 hundreds
- 5 tens = 50
→ 80,000 + 1,000 = 81,000; +700 = 81,700; +50 = 81,750
✔ Answer: 81,750
---
## ✔ Final Answers:
1) 8,145
2) 15,659
3) 41,305
4) 20,829
5) 72,582
6) 62,840
7) 80,209
8) 37,060
9) 42,815
10) 36,923
11) 51,228
12) 94,736
13) 20,630
14) 41,207
15) 68,953
16) 70,284
17) 26,762
18) 14,603
19) 58,619
20) 81,750
---
💡 Key Tip:
Always check if any group (tens, hundreds, etc.) has more than 9 — then regroup! For example:
- 14 tens → 1 hundred + 4 tens
- 28 hundreds → 2 thousands + 8 hundreds
- 63 tens → 6 hundreds + 3 tens
This is just like “carrying” in addition — it ensures each digit in standard form is between 0–9.
Let me know if you want to see this as a printable answer sheet! 😊
Parent Tip: Review the logic above to help your child master the concept of place value relationships 4th grade worksheet.