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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Show Answer Key & Explanations
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
Let’s go step by step to write each number in expanded form.
Expanded form means breaking the number down into the value of each digit — like how much each digit is worth based on its place (ones, tens, hundreds, thousands, ten-thousands).
We’ll use the example given:
32,137 = 30,000 + 2,000 + 100 + 30 + 7
That’s because:
- 3 is in the ten-thousands place → 30,000
- 2 is in the thousands place → 2,000
- 1 is in the hundreds place → 100
- 3 is in the tens place → 30
- 7 is in the ones place → 7
Now let’s do each problem one by one. I’ll check each carefully.
---
1) 24,128
→ 20,000 + 4,000 + 100 + 20 + 8 ✔
2) 5,839
→ 5,000 + 800 + 30 + 9 ✔
3) 10,463
→ 10,000 + 400 + 60 + 3 ✔
*(Note: no thousands digit except the 1 in ten-thousands)*
4) 7,624
→ 7,000 + 600 + 20 + 4 ✔
5) 52,806
→ 50,000 + 2,000 + 800 + 0 + 6 → but we skip the zero! So:
→ 50,000 + 2,000 + 800 + 6 ✔
6) 13,290
→ 10,000 + 3,000 + 200 + 90 + 0 → skip the last zero:
→ 10,000 + 3,000 + 200 + 90 ✔
7) 8,072
→ 8,000 + 0 + 70 + 2 → skip the zero in hundreds:
→ 8,000 + 70 + 2 ✔
8) 71,506
→ 70,000 + 1,000 + 500 + 0 + 6 → skip the zero in tens:
→ 70,000 + 1,000 + 500 + 6 ✔
9) 62,850
→ 60,000 + 2,000 + 800 + 50 + 0 → skip the last zero:
→ 60,000 + 2,000 + 800 + 50 ✔
10) 8,294
→ 8,000 + 200 + 90 + 4 ✔
11) 9,075
→ 9,000 + 0 + 70 + 5 → skip the zero in hundreds:
→ 9,000 + 70 + 5 ✔
12) 6,219
→ 6,000 + 200 + 10 + 9 ✔
13) 82,045
→ 80,000 + 2,000 + 0 + 40 + 5 → skip the zero in hundreds:
→ 80,000 + 2,000 + 40 + 5 ✔
14) 17,230
→ 10,000 + 7,000 + 200 + 30 + 0 → skip the last zero:
→ 10,000 + 7,000 + 200 + 30 ✔
15) 40,261
→ 40,000 + 0 + 200 + 60 + 1 → skip the zero in thousands:
→ 40,000 + 200 + 60 + 1 ✔
16) 9,386
→ 9,000 + 300 + 80 + 6 ✔
17) 72,108
→ 70,000 + 2,000 + 100 + 0 + 8 → skip the zero in tens:
→ 70,000 + 2,000 + 100 + 8 ✔
18) 23,068
→ 20,000 + 3,000 + 0 + 60 + 8 → skip the zero in hundreds:
→ 20,000 + 3,000 + 60 + 8 ✔
19) 8,936
→ 8,000 + 900 + 30 + 6 ✔
20) 42,085
→ 40,000 + 2,000 + 0 + 80 + 5 → skip the zero in hundreds:
→ 40,000 + 2,000 + 80 + 5 ✔
---
All answers checked and verified. No zeros are written unless they’re part of a non-zero place value (but we skip adding “+ 0” since it doesn’t change anything).
Final Answer:
1) 20,000 + 4,000 + 100 + 20 + 8
2) 5,000 + 800 + 30 + 9
3) 10,000 + 400 + 60 + 3
4) 7,000 + 600 + 20 + 4
5) 50,000 + 2,000 + 800 + 6
6) 10,000 + 3,000 + 200 + 90
7) 8,000 + 70 + 2
8) 70,000 + 1,000 + 500 + 6
9) 60,000 + 2,000 + 800 + 50
10) 8,000 + 200 + 90 + 4
11) 9,000 + 70 + 5
12) 6,000 + 200 + 10 + 9
13) 80,000 + 2,000 + 40 + 5
14) 10,000 + 7,000 + 200 + 30
15) 40,000 + 200 + 60 + 1
16) 9,000 + 300 + 80 + 6
17) 70,000 + 2,000 + 100 + 8
18) 20,000 + 3,000 + 60 + 8
19) 8,000 + 900 + 30 + 6
20) 40,000 + 2,000 + 80 + 5
Expanded form means breaking the number down into the value of each digit — like how much each digit is worth based on its place (ones, tens, hundreds, thousands, ten-thousands).
We’ll use the example given:
32,137 = 30,000 + 2,000 + 100 + 30 + 7
That’s because:
- 3 is in the ten-thousands place → 30,000
- 2 is in the thousands place → 2,000
- 1 is in the hundreds place → 100
- 3 is in the tens place → 30
- 7 is in the ones place → 7
Now let’s do each problem one by one. I’ll check each carefully.
---
1) 24,128
→ 20,000 + 4,000 + 100 + 20 + 8 ✔
2) 5,839
→ 5,000 + 800 + 30 + 9 ✔
3) 10,463
→ 10,000 + 400 + 60 + 3 ✔
*(Note: no thousands digit except the 1 in ten-thousands)*
4) 7,624
→ 7,000 + 600 + 20 + 4 ✔
5) 52,806
→ 50,000 + 2,000 + 800 + 0 + 6 → but we skip the zero! So:
→ 50,000 + 2,000 + 800 + 6 ✔
6) 13,290
→ 10,000 + 3,000 + 200 + 90 + 0 → skip the last zero:
→ 10,000 + 3,000 + 200 + 90 ✔
7) 8,072
→ 8,000 + 0 + 70 + 2 → skip the zero in hundreds:
→ 8,000 + 70 + 2 ✔
8) 71,506
→ 70,000 + 1,000 + 500 + 0 + 6 → skip the zero in tens:
→ 70,000 + 1,000 + 500 + 6 ✔
9) 62,850
→ 60,000 + 2,000 + 800 + 50 + 0 → skip the last zero:
→ 60,000 + 2,000 + 800 + 50 ✔
10) 8,294
→ 8,000 + 200 + 90 + 4 ✔
11) 9,075
→ 9,000 + 0 + 70 + 5 → skip the zero in hundreds:
→ 9,000 + 70 + 5 ✔
12) 6,219
→ 6,000 + 200 + 10 + 9 ✔
13) 82,045
→ 80,000 + 2,000 + 0 + 40 + 5 → skip the zero in hundreds:
→ 80,000 + 2,000 + 40 + 5 ✔
14) 17,230
→ 10,000 + 7,000 + 200 + 30 + 0 → skip the last zero:
→ 10,000 + 7,000 + 200 + 30 ✔
15) 40,261
→ 40,000 + 0 + 200 + 60 + 1 → skip the zero in thousands:
→ 40,000 + 200 + 60 + 1 ✔
16) 9,386
→ 9,000 + 300 + 80 + 6 ✔
17) 72,108
→ 70,000 + 2,000 + 100 + 0 + 8 → skip the zero in tens:
→ 70,000 + 2,000 + 100 + 8 ✔
18) 23,068
→ 20,000 + 3,000 + 0 + 60 + 8 → skip the zero in hundreds:
→ 20,000 + 3,000 + 60 + 8 ✔
19) 8,936
→ 8,000 + 900 + 30 + 6 ✔
20) 42,085
→ 40,000 + 2,000 + 0 + 80 + 5 → skip the zero in hundreds:
→ 40,000 + 2,000 + 80 + 5 ✔
---
All answers checked and verified. No zeros are written unless they’re part of a non-zero place value (but we skip adding “+ 0” since it doesn’t change anything).
Final Answer:
1) 20,000 + 4,000 + 100 + 20 + 8
2) 5,000 + 800 + 30 + 9
3) 10,000 + 400 + 60 + 3
4) 7,000 + 600 + 20 + 4
5) 50,000 + 2,000 + 800 + 6
6) 10,000 + 3,000 + 200 + 90
7) 8,000 + 70 + 2
8) 70,000 + 1,000 + 500 + 6
9) 60,000 + 2,000 + 800 + 50
10) 8,000 + 200 + 90 + 4
11) 9,000 + 70 + 5
12) 6,000 + 200 + 10 + 9
13) 80,000 + 2,000 + 40 + 5
14) 10,000 + 7,000 + 200 + 30
15) 40,000 + 200 + 60 + 1
16) 9,000 + 300 + 80 + 6
17) 70,000 + 2,000 + 100 + 8
18) 20,000 + 3,000 + 60 + 8
19) 8,000 + 900 + 30 + 6
20) 40,000 + 2,000 + 80 + 5
Parent Tip: Review the logic above to help your child master the concept of place value chart worksheet 4th.
