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GuidedPath Noida · Primary Maths · Worksheet
Indian Place Value System — Lakhs & Crores
Ones · Tens · Hundreds · Thousands · Ten Thousands · Lakhs · Ten Lakhs · Crores — Indian period system, comma placement, expanded form, face value vs place value up to crores. 30 fully solved + 20 practice questions with answer key.
🇮🇳 Indian Period System
Ones · Tens · Hundreds
Thousands · Ten Thousands
Lakhs · Ten Lakhs
Crores · Ten Crores
✏️ Comma Placement
First comma after 3 digits from right (Hundreds).
Then after every 2 digits.
e.g. 2,34,56,789
📋 Worksheet Contents:
📌 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 Lakhs · Direct · Builds confidence
Q1
Write the place value of 3 in 3,45,678. Starter
▼
Solution
Reading Indian numbers: Split from right — O T H | Th TTh | L TL | C TC. Commas go after 3 digits then every 2.
| TL | L | TTh | Th | H | T | O |
| 3 | 4 | 5 | 6 | 7 | 8 | 0 |
1
3 is in the Ten Lakhs (TL) place
2
Place value = 3 × 10,00,000 = 30,00,000
✓ Place value of 3 = 30,00,000 (Thirty Lakhs)
Q2
Write the face value of 7 in 57,43,210. Starter
▼
Solution
1
Face value = the digit itself, regardless of position
2
Face value of 7 = 7
✓ Face value of 7 = 7
Q3
Place the commas correctly in 456789. Starter ✏ Comma rule
▼
Solution
Indian comma rule: Start from right. First comma after 3 digits. Then after every 2 digits going left.
1
456789 → from right: 789 | 56 | 4
2
Indian form: 4,56,789
✓ Correctly written as 4,56,789 (Four lakh fifty-six thousand seven hundred eighty-nine)
Q4
What is the place value of 5 in 5,00,000? Starter
▼
Solution
1
5,00,000 → 5 is in Lakhs place
2
Place value = 5 × 1,00,000 = 5,00,000
✓ Place value of 5 = 5,00,000 (Five Lakhs)
Q5
Place commas correctly in 2345678 using Indian system. Starter ✏ Comma rule
▼
Solution
1
2345678 → from right: 678 | 45 | 23 | 2
2
Indian: 23,45,678
✓ 23,45,678 (Twenty-three lakh forty-five thousand six hundred seventy-eight)
Q6
Write the place name of the underlined digit: 8,53,204. Starter
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 8 | 5 | 3 | 2 | 0 | 4 | 0 | 0 |
1
8,53,204 → digits map: C=8, TL=5, L=3, TTh=2, Th=0, H=4, T=0, O=0
2
5 is in the Ten Lakhs (TL) place
✓ 5 is in the Ten Lakhs place · Place value = 50,00,000
Q7
Write the number name of 9,05,307. Starter
▼
Solution
1
9,05,307 → L=9, TL=0, TTh=0, Th=5, H=3, T=0, O=7
2
9 lakhs → Nine lakh
3
5 thousands → five thousand
4
3 hundreds, 7 ones → three hundred seven
✓ Nine lakh five thousand three hundred seven
Q8
True or False: 10 lakhs = 1 crore. Starter
▼
Solution
1
1 lakh = 1,00,000
2
10 lakhs = 10,00,000
3
1 crore = 1,00,00,000 = 100 lakhs
✓ False — 10 lakhs = 10,00,000. 1 crore = 100 lakhs = 1,00,00,000
Q9
How many thousands make one lakh? Starter
▼
Solution
1
1 lakh = 1,00,000
2
1,00,000 ÷ 1,000 = 100
✓ 100 thousands = 1 lakh
Q10
Write the place value of 4 in 4,00,00,000. Starter
▼
Solution
1
4,00,00,000 → 4 is in Crores place
2
Place value = 4 × 1,00,00,000 = 4,00,00,000
✓ Place value of 4 = 4,00,00,000 (Four Crores)
Solved Questions — Core Practice
Q11 to Q22 · Crores · Expanded form · Exam-style
Q11
Write the expanded form of 3,45,67,890. Core
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 3 | 4 | 5 | 6 | 7 | 8 | 9 | 0 |
1
3 in Crores → 3,00,00,000
2
4 in Ten Lakhs → 40,00,000
3
5 in Lakhs → 5,00,000
4
6 in Ten Thousands → 60,000
5
7 in Thousands → 7,000
6
8 in Hundreds → 800
7
9 in Tens → 90
8
0 in Ones → 0
3,00,00,000
+
40,00,000
+
5,00,000
+
60,000
+
7,000
+
800
+
90
+
0
✓ 3,45,67,890 = 3,00,00,000 + 40,00,000 + 5,00,000 + 60,000 + 7,000 + 800 + 90 + 0
Q12
Find the difference between place value and face value of 6 in 6,00,00,000. Core
▼
Solution
1
6 is in Crores place → place value = 6,00,00,000
2
Face value of 6 = 6
3
Difference = 6,00,00,000 − 6 = 5,99,99,994
✓ Difference = 5,99,99,994
Q13
Write the standard form of 5,00,00,000 + 20,00,000 + 3,00,000 + 40,000 + 500 + 6. Core
▼
Solution
1
5,00,00,000 → C=5
2
20,00,000 → TL=2
3
3,00,000 → L=3
4
40,000 → TTh=4
5
500 → H=5 · 6 → O=6 · T=0, Th=0
5,00,00,000+
20,00,000+
3,00,000+
40,000+
500+
6→
5,23,40,506
✓ Standard form = 5,23,40,506
Q14
Write the place value of each digit in 7,03,40,205. Core
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 7 | 0 | 3 | 4 | 0 | 2 | 0 | 5 |
1
7 → Crores → 7,00,00,000
2
0 → TL → 0
3
3 → Lakhs → 3,00,000
4
4 → TTh → 40,000
5
0 → Th → 0
6
2 → H → 200
7
0 → T → 0
8
5 → O → 5
✓ 7→7,00,00,000 · 0→0 · 3→3,00,000 · 4→40,000 · 0→0 · 2→200 · 0→0 · 5→5
Q15
How many lakhs make 1 crore? How many lakhs make 5 crores? Core
▼
Solution
1
1 crore = 1,00,00,000 · 1 lakh = 1,00,000
2
1,00,00,000 ÷ 1,00,000 = 100 lakhs = 1 crore
3
5 crores = 5 × 100 = 500 lakhs
✓ 1 crore = 100 lakhs · 5 crores = 500 lakhs
Q16
Place commas correctly in 90503060 using Indian system. Core ✏ Comma rule
▼
Solution
1
90503060 — count 8 digits
2
From right: 060 | 03 | 05 | 90 → No — re-group: 060 | 30 | 50 | 9 Wait — careful: 9,0,5,0,3,0,6,0 from left = 8 digits
3
Right to left: 060 (ones period) | 30 (thousands) | 05 (lakhs) | 9 (crore) → 9,05,30,060
✓ 9,05,30,060 (Nine crore five lakh thirty thousand sixty)
Q17
Write the number name of 2,08,04,070. Core
▼
Solution
1
2,08,04,070 → C=2, TL=0, L=8, TTh=0, Th=4, H=0, T=7, O=0
2
2 crores → Two crore
3
8 lakhs → eight lakh
4
4 thousands → four thousand
5
7 tens → seventy
✓ Two crore eight lakh four thousand seventy
Q18
Write the place value of both 5s in 5,04,52,007. Core
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 5 | 0 | 4 | 5 | 2 | 0 | 0 | 7 |
1
First 5 → Crores place → place value = 5,00,00,000
2
Second 5 → Ten Thousands place → place value = 50,000
✓ 5 (C) → 5,00,00,000 · 5 (TTh) → 50,000
Q19
Write the number: Six crore four lakh seven thousand three hundred two. Core
▼
Solution
1
Six crore → 6,00,00,000
2
Four lakh → 4,00,000
3
Seven thousand → 7,000
4
Three hundred two → 302
6,00,00,000+
4,00,000+
7,000+
302→
6,04,07,302
✓ 6,04,07,302
Q20
What is the sum of place values of all 0s in 3,05,70,008? Core
▼
Solution
1
Place value of 0 is always 0, regardless of position
2
3,05,70,008 → zeros at TL, TTh, H, T positions — all have place value 0
3
Sum = 0 + 0 + 0 + 0 = 0
✓ Sum of place values of all 0s = 0 (Place value of 0 is always 0)
Q21
Fill in the blank: 1 crore = _____ ten-thousands. Core
▼
Solution
1
1 crore = 1,00,00,000
2
1 ten-thousand = 10,000
3
1,00,00,000 ÷ 10,000 = 1,000
✓ 1 crore = 1,000 ten-thousands
Q22
Write the expanded form of 8,00,04,009. Core
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 8 | 0 | 0 | 0 | 4 | 0 | 0 | 9 |
1
8 → Crores → 8,00,00,000
2
All zeros → 0
3
4 → Thousands → 4,000
4
9 → Ones → 9
✓ 8,00,04,009 = 8,00,00,000 + 4,000 + 9
Solved Questions — Challenge
Q23 to Q30 · Board level · Word problems · Multi-step
Q23
India's population in a district is 1,23,45,678. Write the expanded form and identify the period of each digit. Challenge
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 → Crores Period
2,3 → Lakhs Period
4,5 → Thousands Period
6,7,8 → Ones Period
1,00,00,000
+
20,00,000
+
3,00,000
+
40,000
+
5,000
+
600
+
70
+
8
✓ Expanded = 1,00,00,000 + 20,00,000 + 3,00,000 + 40,000 + 5,000 + 600 + 70 + 8
Q24
Asha says "the place value of 9 in 9,87,65,432 is 9." Is she right? Challenge
▼
Solution
1
9,87,65,432 → 9 is in Crores place
2
Place value = 9 × 1,00,00,000 = 9,00,00,000
3
Asha confused face value (9) with place value (9,00,00,000)
✓ No, Asha is wrong. Face value = 9 but Place value = 9,00,00,000
Q25
A company earned ₹4,56,78,900 in a year. Write this amount in words and write the place value of 5. Challenge
▼
Solution
1
4,56,78,900 → C=4, TL=5, L=6, TTh=7, Th=8, H=9, T=0, O=0
2
In words: Four crore fifty-six lakh seventy-eight thousand nine hundred
3
5 is in Ten Lakhs place → place value = 5 × 10,00,000 = 50,00,000
✓ Words: Four crore fifty-six lakh seventy-eight thousand nine hundred · Place value of 5 = 50,00,000
Q26
In the number 7,07,07,007 — how many times does 7 appear? Write the place value of each 7. Challenge
▼
Solution
| C | TL | L | TTh | Th | H | T | O |
| 7 | 0 | 7 | 0 | 7 | 0 | 0 | 7 |
1
7 appears 4 times: C, L, Th, O positions
2
7 (C) → 7,00,00,000
3
7 (L) → 7,00,000
4
7 (Th) → 7,000
5
7 (O) → 7
✓ 7 appears 4 times · Place values: 7,00,00,000 · 7,00,000 · 7,000 · 7
Q27
The price of a flat is ₹85,50,000. A shop costs ₹12,75,000. Which costs more and by how much? Write both in words. Challenge
▼
Solution
1
Flat: ₹85,50,000 = Eighty-five lakh fifty thousand
2
Shop: ₹12,75,000 = Twelve lakh seventy-five thousand
3
85,50,000 > 12,75,000 → Flat costs more
4
Difference = 85,50,000 − 12,75,000 = 72,75,000
✓ Flat costs more · Difference = ₹72,75,000 (Seventy-two lakh seventy-five thousand)
Q28
Write the greatest and smallest 8-digit numbers using digits 3, 0, 8, 1, 5, 0, 7, 2 (each once). Write both in Indian system with commas. Challenge
▼
Solution
1
Digits: 0, 0, 1, 2, 3, 5, 7, 8
2
Greatest: descending → 87,53,21,00 — but we need 8 digits and 0 cannot lead. Arrange: 8,7,5,3,2,1,0,0 → 87,53,21,00 → Indian: 8,75,32,100
3
Smallest: 0 cannot be first digit → 10,02,35,78 — arrange ascending with smallest non-zero first: 1,0,0,2,3,5,7,8 → 10,02,35,78 → Indian: 1,00,23,578
✓ Greatest = 8,75,32,100 · Smallest = 1,00,23,578
Q29
A state collected ₹3,25,00,000 in taxes in April and ₹1,75,50,000 in May. What was the total collection? Write in words. Challenge
▼
Solution
1
April: ₹3,25,00,000
2
May: ₹1,75,50,000
3
Total = 3,25,00,000 + 1,75,50,000 = 5,00,50,000
✓ Total = ₹5,00,50,000 (Five crore fifty thousand)
Q30
True or False: In the Indian system, a 8-digit number always has crores. Explain with an example. Challenge
▼
Solution
1
In Indian system: 8-digit numbers range from 1,00,00,000 to 9,99,99,999
2
The 8th digit from right = Crores place
3
Example: 1,00,00,000 — 1 is in crores place. Any 8-digit number must have a digit (1–9) in crores place
✓ True — Every 8-digit number in the Indian system has crores. The smallest 8-digit number is 1,00,00,000 (One crore)
Practice Questions — Section A
Q1 to Q8 · Up to Lakhs · Straightforward · Attempt first
- 1 Write the place value of 8 in 8,45,320.
- 2 Place commas correctly in 756234 using Indian system.
- 3 Write the face value of 4 in 34,56,789.
- 4 How many thousands make 1 lakh?
- 5 Write the number name of 6,05,430.
- 6 Write the place value of 9 in 9,00,000.
- 7 True or False: 1 lakh = 10,000.
- 8 Place commas correctly in 5030204 using Indian system.
Practice Questions — Section B
Q9 to Q16 · Up to Crores · Expanded form · Moderate
- 9 Write the expanded form of 2,34,56,789.
- 10 Write the standard form of 6,00,00,000 + 50,00,000 + 4,00,000 + 30,000 + 200 + 8.
- 11 Write the number name of 5,06,00,040.
- 12 Place commas correctly in 30405060 using Indian system.
- 13 Write the place value of both 4s in 4,04,00,000.
- 14 How many lakhs make 3 crores?
- 15 Write the number: Eight crore seven lakh six thousand five.
- 16 Find the difference between place value and face value of 7 in 7,00,00,000.
Practice Questions — Section C
Q17 to Q20 · HOTs · Word problems · Board level
- 17 In 3,03,03,003 — how many times does 3 appear? Write the place value of each 3 and find the sum of all place values of 3.
- 18 A road project cost ₹9,50,00,000. The government paid ₹6,25,00,000. How much is still remaining? Write both amounts and the remainder in words.
- 19 Write the greatest 8-digit number using digits 6, 0, 4, 9, 2, 1, 8, 5 (each once). Write it in Indian system with commas and then in expanded form.
- 20 Rohan writes the place value of 2 in 2,00,35,600 as "2". His friend says it is "2,00,00,000." Who is right and why? Also write the complete expanded form of 2,00,35,600.
Answer Key — Practice Questions
Attempt all 20 questions before checking
🔑 Show Answer Key — All 20 Questions
▼
Section A — Q1 to Q8
Q1. 8 is in Lakhs place → Place value = 8,00,000
Q2. 7,56,234
Q3. 4 (face value is always the digit itself)
Q4. 100 thousands = 1 lakh
Q5. Six lakh five thousand four hundred thirty
Q6. 9,00,000
Q7. False — 1 lakh = 1,00,000 (not 10,000)
Q8. 50,30,204
Q9. 2,00,00,000 + 30,00,000 + 4,00,000 + 50,000 + 6,000 + 700 + 80 + 9
Q10. 6,54,30,208
Q11. Five crore six lakh forty
Q12. 3,04,05,060
Q13. First 4 (C) → 4,00,00,000 · Second 4 (L) → 4,00,000
Q14. 300 lakhs = 3 crores
Q15. 8,07,06,005
Q16. Place value = 7,00,00,000 · Face value = 7 · Difference = 6,99,99,993
Q17. 3 appears 4 times · Place values: 3,00,00,000 + 3,00,000 + 3,000 + 3 · Sum = 3,03,03,003
Q18. Remaining = 9,50,00,000 − 6,25,00,000 = 3,25,00,000 (Three crore twenty-five lakh)
Q19. Greatest = 9,86,54,210 · Expanded: 9,00,00,000 + 80,00,000 + 6,00,000 + 50,000 + 4,000 + 200 + 10 + 0
Q20. Rohan's friend is right — 2 is in Crores place → place value = 2,00,00,000 · Expanded: 2,00,00,000 + 0 + 0 + 30,000 + 5,000 + 600 + 0 + 0
