Number Names in Lakhs and Crores
Reading and writing number names in lakhs and crores is a core skill in Class 5 Maths. Students must convert large numbers from figures to words and from words to figures with accuracy. This ability is essential for reading bank statements, understanding news reports about budgets, and writing cheques.
The Indian number system organises digits into four periods: Ones, Thousands, Lakhs, and Crores. Each period contains one or two places. By reading the digits in each period as a group and adding the period name, any large number can be expressed in words.
What is Number Names in Lakhs and Crores - Class 5 Maths (Large Numbers)?
Number names are the word form of numbers. In the Indian system, large numbers are read period by period, from left to right.
Periods and their places:
| Period | Places Included | Example |
|---|---|---|
| Crores | Ten Crores, Crores | 51 in 51,23,06,800 |
| Lakhs | Ten Lakhs, Lakhs | 23 in 51,23,06,800 |
| Thousands | Ten Thousands, Thousands | 06 in 51,23,06,800 |
| Ones | Hundreds, Tens, Ones | 800 in 51,23,06,800 |
Reading rule: Read the digits in each period as a number, then say the period name. Skip a period if all its digits are zero. Do not say the period name for the ones group.
Number Names in Lakhs and Crores Formula
Number Name = [Crores group] crore [Lakhs group] lakh [Thousands group] thousand [Ones group]
Steps to write number names:
- Place commas in the Indian pattern: after 3 digits from the right, then every 2 digits.
- Read each group from left to right as a separate number.
- Say the period name after each group (skip if the group is 00).
- Do not say any period name after the ones group.
Solved Examples
Example 1: Example 1: Number name of a 6-digit number
Problem: Write the number name for 4,56,789.
Solution:
Step 1: Identify periods: 4 (Lakhs) | 56 (Thousands) | 789 (Ones)
Step 2: Read: Four lakh fifty-six thousand seven hundred eighty-nine.
Answer: Four lakh fifty-six thousand seven hundred eighty-nine
Example 2: Example 2: Number name of a 7-digit number
Problem: Write the number name for 23,04,500.
Solution:
Step 1: Periods: 23 (Lakhs) | 04 (Thousands) | 500 (Ones)
Step 2: Read: Twenty-three lakh four thousand five hundred.
Answer: Twenty-three lakh four thousand five hundred
Example 3: Example 3: Number name of an 8-digit number
Problem: Write the number name for 6,07,40,321.
Solution:
Step 1: Periods: 6 (Crores) | 07 (Lakhs) | 40 (Thousands) | 321 (Ones)
Step 2: Read: Six crore seven lakh forty thousand three hundred twenty-one.
Answer: Six crore seven lakh forty thousand three hundred twenty-one
Example 4: Example 4: Number name of a 9-digit number
Problem: Write the number name for 51,23,06,800.
Solution:
Step 1: Periods: 51 (Crores) | 23 (Lakhs) | 06 (Thousands) | 800 (Ones)
Step 2: Read: Fifty-one crore twenty-three lakh six thousand eight hundred.
Answer: Fifty-one crore twenty-three lakh six thousand eight hundred
Example 5: Example 5: Converting words to figures (lakhs)
Problem: Write in figures: Twelve lakh thirty thousand four hundred five.
Solution:
Step 1: Lakhs = 12 → 12,_ _,_ _ _
Step 2: Thousands = 30 → 12,30,_ _ _
Step 3: Ones = 405 → 12,30,405
Answer: 12,30,405
Example 6: Example 6: Converting words to figures (crores)
Problem: Write in figures: Nine crore fifty lakh eight thousand twelve.
Solution:
Step 1: Crores = 9 → 9,_ _,_ _,_ _ _
Step 2: Lakhs = 50 → 9,50,_ _,_ _ _
Step 3: Thousands = 08 → 9,50,08,_ _ _
Step 4: Ones = 012 → 9,50,08,012
Answer: 9,50,08,012
Example 7: Example 7: Number name with zeroes in between
Problem: Write the number name for 3,00,05,070.
Solution:
Step 1: Periods: 3 (Crores) | 00 (Lakhs) | 05 (Thousands) | 070 (Ones)
Step 2: The lakhs period is 00, so skip it.
Step 3: Read: Three crore five thousand seventy.
Answer: Three crore five thousand seventy
Example 8: Example 8: Word problem — School budget
Problem: A school collected ₹15,40,000 from fees and ₹2,60,000 from events. Write the total amount in words.
Solution:
Step 1: Total = ₹15,40,000 + ₹2,60,000 = ₹18,00,000
Step 2: Periods: 18 (Lakhs) | 00 (Thousands) | 000 (Ones)
Step 3: Read: Eighteen lakh.
Answer: Eighteen lakh rupees (₹18,00,000)
Example 9: Example 9: Writing the largest 9-digit number name
Problem: Write the number name for 99,99,99,999.
Solution:
Step 1: Periods: 99 (Crores) | 99 (Lakhs) | 99 (Thousands) | 999 (Ones)
Step 2: Read: Ninety-nine crore ninety-nine lakh ninety-nine thousand nine hundred ninety-nine.
Answer: Ninety-nine crore ninety-nine lakh ninety-nine thousand nine hundred ninety-nine
Real-World Applications
Number names are used in many real-life situations in India:
- Cheque writing: Amount must be written in both figures and words.
- News and media: "The government allocated ₹50 crore for building roads."
- Legal documents: Property values and loan amounts are written in words for clarity.
- Exam answers: CBSE exams frequently ask students to write numbers in words.
Key Points to Remember
- The Indian system has four periods: Ones, Thousands, Lakhs, Crores.
- Commas in the Indian system: place the first comma after 3 digits from the right, then every 2 digits.
- Read each period as a group, then say the period name (crore, lakh, thousand).
- Skip a period if all its digits are zero.
- Do not say the period name for the ones group.
- When converting words to figures, fill in zeroes for any period not mentioned.
- Always verify by counting the total number of digits in the final number.
- The word "and" is generally avoided in Indian mathematical notation for number names.
Practice Problems
- Write the number name for 7,84,32,109.
- Write the number name for 40,05,060.
- Write in figures: Sixty-three crore eleven lakh two thousand nine.
- Write in figures: Ninety lakh seven hundred.
- Write the number name for 10,00,00,000.
- Aman's father earned ₹2,35,08,000 last year. Write this in words.
- Write the number name for 8,00,00,001.
- Arrange in ascending order and write their number names: 5,00,000; 50,00,000; 5,00,00,000.
Frequently Asked Questions
Q1. How do you read a number in lakhs?
Separate the number using Indian commas (after 3 digits from the right, then every 2 digits). Read the lakhs group first, say 'lakh', then the thousands group with 'thousand', and finally the ones group. Example: 3,45,678 is read as 'Three lakh forty-five thousand six hundred seventy-eight'.
Q2. What is the number name for 1,00,00,000?
1,00,00,000 is read as 'One crore' in the Indian system. It has 8 digits and equals 10 million in the International system.
Q3. How do you handle zeroes when writing number names?
If an entire period has only zeroes, skip that period in the name. For example, 5,00,02,000 is 'Five crore two thousand' — the lakhs period (00) is omitted. Single zeroes within a period do not need special mention (305 is 'three hundred five').
Q4. What is the difference between Indian and International number names?
The Indian system uses 'lakh' and 'crore' while the International system uses 'million' and 'billion'. Comma placement also differs: Indian uses 3-2-2 grouping (1,23,45,678) while International uses 3-3-3 grouping (12,345,678).
Q5. Why must we learn number names in both figures and words?
Number names in words are required for cheque writing, legal documents, and exam questions. Writing a number in both forms reduces errors — if the figures and words don't match on a cheque, the bank will reject it.
Q6. How many digits does a number in crores have?
A number in crores has 8 digits (1,00,00,000 to 9,99,99,999). Numbers in ten crores have 9 digits (10,00,00,000 to 99,99,99,999). Numbers in lakhs have 6 or 7 digits.
Q7. Should I use 'and' in number names?
In standard Indian maths notation, 'and' is not used in number names. Write 'Five hundred twelve', not 'Five hundred and twelve'. However, some textbooks accept both forms.
Q8. What is the largest number name I need to know for Class 5?
For Class 5, you should know number names up to ten crores (99,99,99,999). The largest 9-digit number is 'Ninety-nine crore ninety-nine lakh ninety-nine thousand nine hundred ninety-nine'.
Related Topics
- Reading and Writing Large Numbers
- Indian and International Number System (Grade 5)
- Numbers up to Lakhs
- Place Value of Large Numbers
- Comparing Large Numbers (Grade 5)
- Ordering Large Numbers (Grade 5)
- Rounding Large Numbers
- Estimation (Grade 5)
- Roman Numerals (I to M)
- Numbers up to Crores
- Expanded Form of Large Numbers
- Predecessor and Successor (Grade 5)
