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GuidedPath Noida · Primary Maths · Worksheet
Expanded Form & Standard Form
Breaking numbers apart and building them back — expanded form, standard form, missing terms, zeros in between, and word problems. Up to 5 digits (99,999). 30 fully solved + 20 practice questions with answer key.
๐ค Expanded Form
Split a number into the value of each digit by place.
4,306 = 4,000 + 300 + 0 + 6
๐ฅ Standard Form
Combine place values back into one number.
20,000 + 500 + 40 + 9 = 20,549
๐ Worksheet Contents:
๐ All solved questions show full step-by-step working. Attempt the practice questions on your own first — then check the answer key at the bottom.
Solved Questions — Starter
Q1 to Q10 · Up to 4 digits · Direct · Builds confidence
Q1
Write the expanded form of 346. Starter
▼
Solution
H
3
T
4
O
6
1
3 in hundreds → 300
2
4 in tens → 40
3
6 in ones → 6
300
+
40
+
6
✓ 346 = 300 + 40 + 6
Q2
Write the standard form of 500 + 70 + 3. Starter
▼
Solution
1
500 → H=5, 70 → T=7, 3 → O=3
500+
70+
3→
573
✓ Standard form = 573
Q3
Write the expanded form of 2,481. Starter
▼
Solution
Th
2
H
4
T
8
O
1
1
2 in thousands → 2,000
2
4 in hundreds → 400
3
8 in tens → 80
4
1 in ones → 1
2,000
+
400
+
80
+
1
✓ 2,481 = 2,000 + 400 + 80 + 1
Q4
Write the standard form of 3,000 + 600 + 50 + 4. Starter
▼
Solution
1
3,000 → Th=3 · 600 → H=6 · 50 → T=5 · 4 → O=4
3,000+
600+
50+
4→
3,654
✓ Standard form = 3,654
Q5
Write the expanded form of 5,040. Starter ⚠ Zero inside
▼
Solution
Key rule: When 0 is in a place, its place value is 0. You may include it as +0 or skip it in short form. Both are accepted.
Th
5
H
0
T
4
O
0
1
5 in thousands → 5,000
2
0 in hundreds → 0
3
4 in tens → 40
4
0 in ones → 0
✓ 5,040 = 5,000 + 0 + 40 + 0 (short: 5,000 + 40)
Q6
Write the standard form of 7,000 + 0 + 0 + 9. Starter
▼
Solution
1
7,000 → Th=7 · 0 → H=0 · 0 → T=0 · 9 → O=9
7,000+
0+
0+
9→
7,009
✓ Standard form = 7,009
Q7
True or False: Expanded form of 4,500 is 4,000 + 5 + 0 + 0. Starter
▼
Solution
1
4,500 → Th=4, H=5, T=0, O=0
2
Correct expanded form = 4,000 + 500 + 0 + 0
3
Given shows "5" — but 5 is in hundreds place so it must be 500, not 5
✓ False — correct form is 4,000 + 500 + 0 + 0
Q8
Write the standard form of 9,000 + 900 + 90 + 9. Starter
▼
Solution
1
Th=9, H=9, T=9, O=9
9,000+
900+
90+
9→
9,999
✓ Standard form = 9,999
Q9
Write the expanded form of 8,306. Starter
▼
Solution
Th
8
H
3
T
0
O
6
1
8 → 8,000 · 3 → 300 · 0 → 0 · 6 → 6
✓ 8,306 = 8,000 + 300 + 0 + 6
Q10
What is the standard form of 1,000 + 0 + 0 + 1? Starter
▼
Solution
1
Th=1, H=0, T=0, O=1 → 1,001
✓ Standard form = 1,001
Solved Questions — Core Practice
Q11 to Q22 · Up to 5 digits · Missing terms · Exam-style
Q11
Write the expanded form of 34,207. Core
▼
Solution
TTh
3
Th
4
H
2
T
0
O
7
1
3 in ten-thousands → 30,000
2
4 in thousands → 4,000
3
2 in hundreds → 200
4
0 in tens → 0
5
7 in ones → 7
30,000
+
4,000
+
200
+
0
+
7
✓ 34,207 = 30,000 + 4,000 + 200 + 0 + 7
Q12
Write the standard form of 50,000 + 3,000 + 0 + 60 + 8. Core
▼
Solution
1
50,000 → TTh=5 · 3,000 → Th=3 · 0 → H=0 · 60 → T=6 · 8 → O=8
50,000+
3,000+
0+
60+
8→
53,068
✓ Standard form = 53,068
Q13
Fill in the missing term: 6,000 + _____ + 4 = 6,504. Core
▼
Solution
1
6,504 → Th=6, H=5, T=0, O=4
2
6,000 covers Th · 4 covers O · H=5 → 500 is missing
3
Check: 6,000 + 500 + 4 = 6,504 ✓
✓ Missing term = 500
Q14
Fill in the missing term: 20,000 + _____ + 300 + 5 = 24,305. Core
▼
Solution
1
24,305 → TTh=2, Th=4, H=3, T=0, O=5
2
20,000 = TTh ✓ · 300 = H ✓ · 5 = O ✓ · Missing = Th = 4,000
3
Check: 20,000 + 4,000 + 300 + 5 = 24,305 ✓
✓ Missing term = 4,000
Q15
Write the expanded form of 70,070. Core ⚠ Zeros inside
▼
Solution
TTh
7
Th
0
H
0
T
7
O
0
1
7 in ten-thousands → 70,000
2
0 in thousands → 0
3
0 in hundreds → 0
4
7 in tens → 70
5
0 in ones → 0
✓ 70,070 = 70,000 + 0 + 0 + 70 + 0 (short: 70,000 + 70)
Q16
Which number has expanded form 40,000 + 0 + 500 + 0 + 3? Core
▼
Solution
1
40,000 → TTh=4 · 0 → Th=0 · 500 → H=5 · 0 → T=0 · 3 → O=3
40,000+
0+
500+
0+
3→
40,503
✓ The number is 40,503
Q17
Write both the expanded form and standard form of the number with TTh=6, Th=0, H=8, T=4, O=0. Core
▼
Solution
TTh
6
Th
0
H
8
T
4
O
0
1
Expanded: 60,000 + 0 + 800 + 40 + 0
2
Standard: 60,840
✓ Expanded = 60,000 + 800 + 40 · Standard = 60,840
Q18
Fill in the missing term: _____ + 4,000 + 500 + 0 + 2 = 84,502. Core
▼
Solution
1
84,502 → TTh=8, Th=4, H=5, T=0, O=2
2
4,000 = Th ✓ · 500 = H ✓ · 0 = T ✓ · 2 = O ✓ · Missing = TTh = 80,000
✓ Missing term = 80,000
Q19
Write the expanded form of 99,009. Core ⚠ Zeros inside
▼
Solution
TTh
9
Th
9
H
0
T
0
O
9
1
9 → 90,000 · 9 → 9,000 · 0 → 0 · 0 → 0 · 9 → 9
✓ 99,009 = 90,000 + 9,000 + 0 + 0 + 9 (short: 90,000 + 9,000 + 9)
Q20
Riya writes 30,000 + 200 + 5 = 30,025. Is she correct? Core
▼
Solution
1
30,000 → TTh=3 · 200 → H=2 · 5 → O=5 · Th and T are missing → 0
2
Number = 30,205 (not 30,025)
3
30,025 would need: 30,000 + 0 + 20 + 5 — Riya placed 200 in tens position incorrectly
✓ No, Riya is wrong. 30,000 + 200 + 5 = 30,205, not 30,025
Q21
Write the standard form: 10,000 + 0 + 0 + 0 + 1. Core
▼
Solution
1
TTh=1, Th=0, H=0, T=0, O=1
10,000+
1→
10,001
✓ Standard form = 10,001
Q22
How many zeros will be in the standard form of 60,000 + 0 + 0 + 0 + 0? Core
▼
Solution
1
60,000 → TTh=6, all other places = 0
2
Standard form = 60,000
3
Count of zeros = 4 (Th, H, T, O positions)
✓ Standard form = 60,000 · Number of zeros = 4
Solved Questions — Challenge
Q23 to Q30 · Board level · Word problems · Multi-step
Q23
A library has 47,350 books. Write the expanded form and identify which place has 0. Challenge
▼
Solution
TTh
4
Th
7
H
3
T
5
O
0
1
4→40,000 · 7→7,000 · 3→300 · 5→50 · 0→0
2
Zero is in the ones place
✓ Expanded = 40,000 + 7,000 + 300 + 50 + 0 · Zero is in the ones place
Q24
The expanded form of a number is 80,000 + 0 + 400 + 0 + 6. Arjun says the number is 80,406. Meena says it is 80,046. Who is correct? Challenge
▼
Solution
1
80,000 → TTh=8 · 0 → Th=0 · 400 → H=4 · 0 → T=0 · 6 → O=6
2
Number = 80,406
3
Meena's 80,046 would need 40 in T place, not 400 in H place
✓ Arjun is correct — the number is 80,406
Q25
Write the greatest and smallest 5-digit numbers using digits 3, 0, 7, 1, 5 (each once). Then write the expanded form of both. Challenge
▼
Solution
1
Arrange digits in descending order for greatest: 7, 5, 3, 1, 0 → 75,310
2
Expanded (greatest): 70,000 + 5,000 + 300 + 10 + 0
3
Arrange in ascending order for smallest (0 cannot be first): 1, 0, 3, 5, 7 → 10,357
4
Expanded (smallest): 10,000 + 0 + 300 + 50 + 7
✓ Greatest = 75,310 = 70,000 + 5,000 + 300 + 10 · Smallest = 10,357 = 10,000 + 300 + 50 + 7
Q26
Fill in both missing terms: 60,000 + _____ + 0 + _____ + 8 = 64,038. Challenge
▼
Solution
1
64,038 → TTh=6, Th=4, H=0, T=3, O=8
2
60,000 = TTh ✓ · 0 = H ✓ · 8 = O ✓
3
First blank = Th = 4,000 · Second blank = T = 30
✓ First blank = 4,000 · Second blank = 30
Q27
A factory produces 56,004 units in a month. Write expanded form. Which digit contributes 0 to the expanded form and why? Challenge
▼
Solution
1
56,004 → TTh=5, Th=6, H=0, T=0, O=4
2
Expanded: 50,000 + 6,000 + 0 + 0 + 4
3
Digits 0 in H and T contribute 0 because place value of 0 is always 0 regardless of position
✓ Expanded = 50,000 + 6,000 + 0 + 0 + 4 · Hundreds and Tens digits (both 0) contribute 0 — because 0 × any position = 0
Q28
Two numbers have the same digits 2, 5, 0, 8, 1 but different expanded forms. Write any two such numbers and their expanded forms. Challenge
▼
Solution
1
Number 1: 25,081 → 20,000 + 5,000 + 0 + 80 + 1
2
Number 2: 82,501 → 80,000 + 2,000 + 500 + 0 + 1
3
Same digits — completely different expanded forms because positions changed
✓ 25,081 = 20,000 + 5,000 + 80 + 1 · 82,501 = 80,000 + 2,000 + 500 + 1
Q29
True or False: The expanded form of a number always has the same number of terms as the number of digits. Explain with an example. Challenge
▼
Solution
1
In full expanded form — yes, terms equal digits. Example: 4,325 has 4 digits → 4,000 + 300 + 20 + 5 = 4 terms ✓
2
But in short form (skipping zeros) — terms can be fewer. Example: 3,050 has 4 digits → short form = 3,000 + 50 = only 2 terms
✓ True for full form · False for short form — short form skips zero-value terms
Q30
The distance between two cities is 93,060 metres. Priya writes its expanded form as 90,000 + 3,000 + 600. Is she right? Find and correct the mistake. Challenge
▼
Solution
1
93,060 → TTh=9, Th=3, H=0, T=6, O=0
2
Correct expanded = 90,000 + 3,000 + 0 + 60 + 0
3
Priya wrote 600 — but 6 is in tens place → value is 60, not 600
✓ Priya is wrong. Correct form = 90,000 + 3,000 + 60 · 6 is in tens place so its value is 60, not 600
Practice Questions — Section A
Q1 to Q8 · Up to 4 digits · Straightforward · Attempt first
- 1 Write the expanded form of 523.
- 2 Write the standard form of 400 + 60 + 7.
- 3 Write the expanded form of 3,712.
- 4 Write the standard form of 5,000 + 300 + 0 + 9.
- 5 Write the expanded form of 4,070. ⚠ Zero inside
- 6 Write the standard form of 8,000 + 0 + 0 + 5.
- 7 True or False: Expanded form of 6,200 is 6,000 + 2 + 0 + 0.
- 8 Write the expanded form of 1,001. ⚠ Zeros inside
Practice Questions — Section B
Q9 to Q16 · Up to 5 digits · Missing terms · Moderate
- 9 Write the expanded form of 52,340.
- 10 Write the standard form of 30,000 + 6,000 + 0 + 40 + 7.
- 11 Write the expanded form of 80,008. ⚠ Zeros inside
- 12 Fill in the missing term: 40,000 + _____ + 200 + 0 + 6 = 47,206.
- 13 Fill in the missing term: 90,000 + 5,000 + 0 + _____ + 3 = 95,063.
- 14 Which number has expanded form 20,000 + 0 + 800 + 50 + 0?
- 15 Write the expanded form and standard form of TTh=1, Th=5, H=0, T=0, O=9.
- 16 Karan says 10,000 + 500 + 3 = 10,053. Is he right?
Practice Questions — Section C
Q17 to Q20 · HOTs · Word problems · Board level
- 17 A stadium has 65,020 seats. Write the expanded form and state which two places have 0 in them.
- 18 Write the greatest 5-digit number using digits 9, 0, 4, 2, 7 (each once). Then write its expanded form.
- 19 Fill in both blanks: 70,000 + _____ + 0 + _____ + 4 = 73,054. Then write the standard form.
- 20 Seema writes the expanded form of 50,505 as 50,000 + 500 + 5. Her teacher says one part is missing. What is it? Write the complete expanded form.
Answer Key — Practice Questions
Attempt all 20 questions before checking
๐ Show Answer Key — All 20 Questions
▼
Section A — Q1 to Q8
Q1. 500 + 20 + 3
Q2. 467
Q3. 3,000 + 700 + 10 + 2
Q4. 5,309
Q5. 4,000 + 0 + 70 + 0 (short: 4,000 + 70)
Q6. 8,005
Q7. False — correct form is 6,000 + 200 + 0 + 0
Q8. 1,000 + 0 + 0 + 1 (short: 1,000 + 1)
Q9. 50,000 + 2,000 + 300 + 40 + 0
Q10. 36,047
Q11. 80,000 + 0 + 0 + 0 + 8 (short: 80,000 + 8)
Q12. Missing = 7,000
Q13. Missing = 60
Q14. 20,850
Q15. Expanded: 10,000 + 5,000 + 0 + 0 + 9 · Standard: 15,009
Q16. No — 10,000 + 500 + 3 = 10,503, not 10,053
Q17. 60,000 + 5,000 + 0 + 20 + 0 · Zeros in hundreds place and ones place
Q18. Greatest = 97,420 · Expanded: 90,000 + 7,000 + 400 + 20 + 0
Q19. First blank = 3,000 · Second blank = 50 · Standard form = 73,054
Q20. Missing part = 0 (tens place, value = 0) · Complete: 50,000 + 500 + 0 + 5 — wait, 50,505 = 50,000 + 500 + 0 + 5 — Seema missed the tens place (0). Complete form: 50,000 + 500 + 0 + 5
