Math worksheet for converting numbers from expanded form to standard form, suitable for 4th-grade students.
A math worksheet titled "Standard Form Up to 5-Digits Sheet 2" with exercises to write numbers in standard form, featuring examples and 20 problems involving thousands, hundreds, tens, and ones.
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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 through each problem one by one. The goal is to write the number in standard form — that means we combine all the parts (like ten thousands, thousands, hundreds, tens, ones) into a single regular number.
We’ll use place value:
- 1 ten thousand = 10,000
- 1 thousand = 1,000
- 1 hundred = 100
- 1 ten = 10
- 1 one = 1
Sometimes you get more than 9 of a unit (like 14 tens or 28 hundreds), so we need to carry over to the next higher place.
---
Problem 1:
8 thousands + 14 tens + 5 ones
→ 8 × 1,000 = 8,000
→ 14 × 10 = 140 → which is 1 hundred and 4 tens → so add 100 to hundreds, keep 40 as tens
→ But wait — there are no hundreds mentioned? So we just write it as:
8,000 + 140 + 5 = 8,145
Wait — let’s double-check:
14 tens = 140 → that’s 1 hundred and 4 tens. Since there’s no “hundreds” part given, we can still write 140 directly.
So: 8,000 + 140 + 5 = 8,145 ✔
---
Problem 2:
15 thousands + 6 hundreds + 5 tens + 9 ones
→ 15 × 1,000 = 15,000
→ 6 × 100 = 600
→ 5 × 10 = 50
→ 9 × 1 = 9
Total: 15,000 + 600 + 50 + 9 = 15,659
But 15 thousands is okay — it’s 15,000. No carrying needed since other places don’t overflow.
✔ Final: 15,659
---
Problem 3:
4 ten thousands + 13 hundreds + 5 ones
→ 4 × 10,000 = 40,000
→ 13 × 100 = 1,300 → that’s 1 thousand and 3 hundreds → so add 1,000 to thousands, keep 300
→ So now: 40,000 + 1,000 = 41,000; then + 300 + 5 = 41,305
Check: 40,000 + 1,300 = 41,300 + 5 = 41,305 ✔
---
Problem 4:
2 ten thousands + 8 hundreds + 29 ones
→ 2 × 10,000 = 20,000
→ 8 × 100 = 800
→ 29 × 1 = 29 → that’s 2 tens and 9 ones → but no tens given, so just add 29
Total: 20,000 + 800 + 29 = 20,829
✔ Correct.
---
Problem 5:
72 thousands + 5 hundreds + 8 tens + 2 ones
→ 72 × 1,000 = 72,000
→ 5 × 100 = 500
→ 8 × 10 = 80
→ 2 × 1 = 2
Total: 72,000 + 500 + 80 + 2 = 72,582
✔ Good.
---
Problem 6:
6 ten thousands + 28 hundreds + 4 tens
→ 6 × 10,000 = 60,000
→ 28 × 100 = 2,800 → that’s 2 thousands and 8 hundreds → so add 2,000 to 60,000 → becomes 62,000; plus 800
→ Then + 4 tens = 40
Total: 60,000 + 2,800 = 62,800 + 40 = 62,840
✔ Correct.
---
Problem 7:
8 ten thousands + 2 hundreds + 9 ones
→ 8 × 10,000 = 80,000
→ 2 × 100 = 200
→ 9 × 1 = 9
Total: 80,000 + 200 + 9 = 80,209
✔ Simple.
---
Problem 8:
37 thousands + 6 tens
→ 37 × 1,000 = 37,000
→ 6 × 10 = 60
Total: 37,000 + 60 = 37,060
✔ Yes.
---
Problem 9:
4 ten thousands + 28 hundreds + 15 ones
→ 4 × 10,000 = 40,000
→ 28 × 100 = 2,800 → that’s 2 thousands and 8 hundreds → so 40,000 + 2,000 = 42,000; + 800
→ 15 ones = 15 → that’s 1 ten and 5 ones → so add 10 to tens, keep 5
But no tens given originally → so total: 42,000 + 800 = 42,800 + 15 = 42,815
Wait — better way:
40,000 + 2,800 = 42,800
42,800 + 15 = 42,815 ✔
---
Problem 10:
36 thousands + 9 hundreds + 23 ones
→ 36 × 1,000 = 36,000
→ 9 × 100 = 900
→ 23 × 1 = 23 → that’s 2 tens and 3 ones
Total: 36,000 + 900 = 36,900 + 23 = 36,923
✔ Correct.
---
Problem 11:
5 ten thousands + 1 thousand + 22 tens + 8 ones
→ 5 × 10,000 = 50,000
→ 1 × 1,000 = 1,000 → so far 51,000
→ 22 × 10 = 220 → that’s 2 hundreds and 2 tens → so add 200 to hundreds, keep 20
→ 8 ones = 8
Now: 51,000 + 200 = 51,200 + 20 = 51,220 + 8 = 51,228
Check: 50,000 + 1,000 = 51,000; 22 tens = 220; 8 ones = 8 → 51,000 + 220 + 8 = 51,228 ✔
---
Problem 12:
9 ten thousands + 47 hundreds + 3 tens + 6 ones
→ 9 × 10,000 = 90,000
→ 47 × 100 = 4,700 → that’s 4 thousands and 7 hundreds → so 90,000 + 4,000 = 94,000; + 700
→ 3 tens = 30
→ 6 ones = 6
Total: 94,000 + 700 = 94,700 + 30 = 94,730 + 6 = 94,736
✔ Correct.
---
Problem 13:
2 ten thousands + 63 tens
→ 2 × 10,000 = 20,000
→ 63 × 10 = 630 → that’s 6 hundreds and 3 tens → so add 600 to hundreds, keep 30
No hundreds or ones given → so 20,000 + 630 = 20,630
✔ Yes.
---
Problem 14:
4 ten thousands + 12 hundreds + 7 ones
→ 4 × 10,000 = 40,000
→ 12 × 100 = 1,200 → that’s 1 thousand and 2 hundreds → so 40,000 + 1,000 = 41,000; + 200
→ 7 ones = 7
Total: 41,000 + 200 = 41,200 + 7 = 41,207
✔ Correct.
---
Problem 15:
68 thousands + 9 hundreds + 53 ones
→ 68 × 1,000 = 68,000
→ 9 × 100 = 900
→ 53 × 1 = 53 → that’s 5 tens and 3 ones
Total: 68,000 + 900 = 68,900 + 53 = 68,953
✔ Good.
---
Problem 16:
7 ten thousands + 28 tens + 4 ones
→ 7 × 10,000 = 70,000
→ 28 × 10 = 280 → that’s 2 hundreds and 8 tens → so add 200 to hundreds, keep 80
→ 4 ones = 4
Total: 70,000 + 280 = 70,280 + 4 = 70,284
✔ Correct.
---
Problem 17:
2 ten thousands + 6 thousands + 7 hundreds + 62 ones
→ 2 × 10,000 = 20,000
→ 6 × 1,000 = 6,000 → so 26,000
→ 7 × 100 = 700
→ 62 × 1 = 62 → that’s 6 tens and 2 ones
Total: 26,000 + 700 = 26,700 + 62 = 26,762
✔ Yes.
---
Problem 18:
1 ten thousand + 46 hundreds + 3 ones
→ 1 × 10,000 = 10,000
→ 46 × 100 = 4,600 → that’s 4 thousands and 6 hundreds → so 10,000 + 4,000 = 14,000; + 600
→ 3 ones = 3
Total: 14,000 + 600 = 14,600 + 3 = 14,603
✔ Correct.
---
Problem 19:
5 ten thousands + 86 hundreds + 19 ones
→ 5 × 10,000 = 50,000
→ 86 × 100 = 8,600 → that’s 8 thousands and 6 hundreds → so 50,000 + 8,000 = 58,000; + 600
→ 19 ones = 19 → that’s 1 ten and 9 ones
Total: 58,000 + 600 = 58,600 + 19 = 58,619
✔ Good.
---
Problem 20:
8 ten thousands + 17 hundreds + 5 tens
→ 8 × 10,000 = 80,000
→ 17 × 100 = 1,700 → that’s 1 thousand and 7 hundreds → so 80,000 + 1,000 = 81,000; + 700
→ 5 tens = 50
Total: 81,000 + 700 = 81,700 + 50 = 81,750
✔ Correct.
---
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
Final Answer:
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
We’ll use place value:
- 1 ten thousand = 10,000
- 1 thousand = 1,000
- 1 hundred = 100
- 1 ten = 10
- 1 one = 1
Sometimes you get more than 9 of a unit (like 14 tens or 28 hundreds), so we need to carry over to the next higher place.
---
Problem 1:
8 thousands + 14 tens + 5 ones
→ 8 × 1,000 = 8,000
→ 14 × 10 = 140 → which is 1 hundred and 4 tens → so add 100 to hundreds, keep 40 as tens
→ But wait — there are no hundreds mentioned? So we just write it as:
8,000 + 140 + 5 = 8,145
Wait — let’s double-check:
14 tens = 140 → that’s 1 hundred and 4 tens. Since there’s no “hundreds” part given, we can still write 140 directly.
So: 8,000 + 140 + 5 = 8,145 ✔
---
Problem 2:
15 thousands + 6 hundreds + 5 tens + 9 ones
→ 15 × 1,000 = 15,000
→ 6 × 100 = 600
→ 5 × 10 = 50
→ 9 × 1 = 9
Total: 15,000 + 600 + 50 + 9 = 15,659
But 15 thousands is okay — it’s 15,000. No carrying needed since other places don’t overflow.
✔ Final: 15,659
---
Problem 3:
4 ten thousands + 13 hundreds + 5 ones
→ 4 × 10,000 = 40,000
→ 13 × 100 = 1,300 → that’s 1 thousand and 3 hundreds → so add 1,000 to thousands, keep 300
→ So now: 40,000 + 1,000 = 41,000; then + 300 + 5 = 41,305
Check: 40,000 + 1,300 = 41,300 + 5 = 41,305 ✔
---
Problem 4:
2 ten thousands + 8 hundreds + 29 ones
→ 2 × 10,000 = 20,000
→ 8 × 100 = 800
→ 29 × 1 = 29 → that’s 2 tens and 9 ones → but no tens given, so just add 29
Total: 20,000 + 800 + 29 = 20,829
✔ Correct.
---
Problem 5:
72 thousands + 5 hundreds + 8 tens + 2 ones
→ 72 × 1,000 = 72,000
→ 5 × 100 = 500
→ 8 × 10 = 80
→ 2 × 1 = 2
Total: 72,000 + 500 + 80 + 2 = 72,582
✔ Good.
---
Problem 6:
6 ten thousands + 28 hundreds + 4 tens
→ 6 × 10,000 = 60,000
→ 28 × 100 = 2,800 → that’s 2 thousands and 8 hundreds → so add 2,000 to 60,000 → becomes 62,000; plus 800
→ Then + 4 tens = 40
Total: 60,000 + 2,800 = 62,800 + 40 = 62,840
✔ Correct.
---
Problem 7:
8 ten thousands + 2 hundreds + 9 ones
→ 8 × 10,000 = 80,000
→ 2 × 100 = 200
→ 9 × 1 = 9
Total: 80,000 + 200 + 9 = 80,209
✔ Simple.
---
Problem 8:
37 thousands + 6 tens
→ 37 × 1,000 = 37,000
→ 6 × 10 = 60
Total: 37,000 + 60 = 37,060
✔ Yes.
---
Problem 9:
4 ten thousands + 28 hundreds + 15 ones
→ 4 × 10,000 = 40,000
→ 28 × 100 = 2,800 → that’s 2 thousands and 8 hundreds → so 40,000 + 2,000 = 42,000; + 800
→ 15 ones = 15 → that’s 1 ten and 5 ones → so add 10 to tens, keep 5
But no tens given originally → so total: 42,000 + 800 = 42,800 + 15 = 42,815
Wait — better way:
40,000 + 2,800 = 42,800
42,800 + 15 = 42,815 ✔
---
Problem 10:
36 thousands + 9 hundreds + 23 ones
→ 36 × 1,000 = 36,000
→ 9 × 100 = 900
→ 23 × 1 = 23 → that’s 2 tens and 3 ones
Total: 36,000 + 900 = 36,900 + 23 = 36,923
✔ Correct.
---
Problem 11:
5 ten thousands + 1 thousand + 22 tens + 8 ones
→ 5 × 10,000 = 50,000
→ 1 × 1,000 = 1,000 → so far 51,000
→ 22 × 10 = 220 → that’s 2 hundreds and 2 tens → so add 200 to hundreds, keep 20
→ 8 ones = 8
Now: 51,000 + 200 = 51,200 + 20 = 51,220 + 8 = 51,228
Check: 50,000 + 1,000 = 51,000; 22 tens = 220; 8 ones = 8 → 51,000 + 220 + 8 = 51,228 ✔
---
Problem 12:
9 ten thousands + 47 hundreds + 3 tens + 6 ones
→ 9 × 10,000 = 90,000
→ 47 × 100 = 4,700 → that’s 4 thousands and 7 hundreds → so 90,000 + 4,000 = 94,000; + 700
→ 3 tens = 30
→ 6 ones = 6
Total: 94,000 + 700 = 94,700 + 30 = 94,730 + 6 = 94,736
✔ Correct.
---
Problem 13:
2 ten thousands + 63 tens
→ 2 × 10,000 = 20,000
→ 63 × 10 = 630 → that’s 6 hundreds and 3 tens → so add 600 to hundreds, keep 30
No hundreds or ones given → so 20,000 + 630 = 20,630
✔ Yes.
---
Problem 14:
4 ten thousands + 12 hundreds + 7 ones
→ 4 × 10,000 = 40,000
→ 12 × 100 = 1,200 → that’s 1 thousand and 2 hundreds → so 40,000 + 1,000 = 41,000; + 200
→ 7 ones = 7
Total: 41,000 + 200 = 41,200 + 7 = 41,207
✔ Correct.
---
Problem 15:
68 thousands + 9 hundreds + 53 ones
→ 68 × 1,000 = 68,000
→ 9 × 100 = 900
→ 53 × 1 = 53 → that’s 5 tens and 3 ones
Total: 68,000 + 900 = 68,900 + 53 = 68,953
✔ Good.
---
Problem 16:
7 ten thousands + 28 tens + 4 ones
→ 7 × 10,000 = 70,000
→ 28 × 10 = 280 → that’s 2 hundreds and 8 tens → so add 200 to hundreds, keep 80
→ 4 ones = 4
Total: 70,000 + 280 = 70,280 + 4 = 70,284
✔ Correct.
---
Problem 17:
2 ten thousands + 6 thousands + 7 hundreds + 62 ones
→ 2 × 10,000 = 20,000
→ 6 × 1,000 = 6,000 → so 26,000
→ 7 × 100 = 700
→ 62 × 1 = 62 → that’s 6 tens and 2 ones
Total: 26,000 + 700 = 26,700 + 62 = 26,762
✔ Yes.
---
Problem 18:
1 ten thousand + 46 hundreds + 3 ones
→ 1 × 10,000 = 10,000
→ 46 × 100 = 4,600 → that’s 4 thousands and 6 hundreds → so 10,000 + 4,000 = 14,000; + 600
→ 3 ones = 3
Total: 14,000 + 600 = 14,600 + 3 = 14,603
✔ Correct.
---
Problem 19:
5 ten thousands + 86 hundreds + 19 ones
→ 5 × 10,000 = 50,000
→ 86 × 100 = 8,600 → that’s 8 thousands and 6 hundreds → so 50,000 + 8,000 = 58,000; + 600
→ 19 ones = 19 → that’s 1 ten and 9 ones
Total: 58,000 + 600 = 58,600 + 19 = 58,619
✔ Good.
---
Problem 20:
8 ten thousands + 17 hundreds + 5 tens
→ 8 × 10,000 = 80,000
→ 17 × 100 = 1,700 → that’s 1 thousand and 7 hundreds → so 80,000 + 1,000 = 81,000; + 700
→ 5 tens = 50
Total: 81,000 + 700 = 81,700 + 50 = 81,750
✔ Correct.
---
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
Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of place value worksheet 4th grade free printable.