Place Value Chart: Million, Billion, Trillion vs Lakh, Crore
The concept of million, billion, trillion in maths plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Understanding these large numbers helps students tackle problems in finance, statistics, science, and competitive exams. This topic also teaches conversion between the Indian and International number systems, making it easier to compare, calculate, and communicate big values.
What Is Million, Billion, Trillion in Maths?
A million in maths is the number 1,000,000 (106), while a billion is 1,000,000,000 (109), and a trillion is 1,000,000,000,000 (1012). These terms describe very large numbers in the International number system. You’ll find this concept applied in areas such as finance, population data, science, and bank statements. In the Indian system, these correspond to lakhs, crores, and arabs, making understanding conversion between systems essential.
Comparison Table: Million, Billion, Trillion and Indian Equivalents
| Name | Zeros | Number | Indian Value |
|---|---|---|---|
| Thousand | 3 | 1,000 | 1 Thousand |
| Lakh | 5 | 1,00,000 | 1 Lakh |
| Million | 6 | 1,000,000 | 10 Lakh |
| Crore | 7 | 1,00,00,000 | 1 Crore |
| Billion | 9 | 1,000,000,000 | 100 Crore |
| Trillion | 12 | 1,000,000,000,000 | 10,000 Crore / 1 Lakh Crore |
Key Conversion Formula for Million, Billion, Trillion in Maths
Here are the most useful conversions between international and Indian units:
- 1 million = 10 lakh = 0.1 crore
- 1 billion = 100 crore = 1,000 million
- 1 trillion = 10,000 crore = 1 lakh crore = 1,000 billion
Use this quick trick: To convert million to lakh, multiply by 10. To convert billion to crore, multiply by 100.
Step-by-Step Illustration: Million to Crore Conversion
- Given: 4 million. Convert to crore.
1 million = 0.1 crore - Multiply: 4 × 0.1 = 0.4 crore
So, 4 million = 40 lakh = 0.4 crore
Speed Trick or Vedic Shortcut
Here’s a quick shortcut for students:
- To get crore from million: Remove the decimal and divide by 10. E.g., 25 million = 2.5 crore.
- To get crore from billion: Multiply by 100. E.g., 3 billion = 300 crore.
- To quickly check zeros: million = 6 zeros, billion = 9, trillion = 12. Remember: add 3 zeros each time.
Tricks like these are handy in exams and you’ll find more in Vedantu’s Maths Tricks section.
Try These Yourself
- How many crores are there in 5 billion?
- Write 1 trillion in terms of lakh and crore.
- Convert 2 million to rupees (if 1 million = ₹10,00,000).
- What comes after trillion in the International system?
Frequent Errors and Misunderstandings
- Confusing the number of zeros in million, billion, trillion.
- Mixing up lakh, crore, and million in conversion questions.
- Using the UK billion (1,000,000,000,000) instead of the US Billion (1,000,000,000). Most systems now accept the US value.
- Forgetting to check if a question asks for crore or lakh in the final answer.
Relation to Other Concepts
Knowing million, billion, trillion in maths helps you master Number System, practice Large Numbers questions, and solve conversion exercises in academic and competitive exams. Mastering these terms also strengthens your understanding of the Place Value System and data interpretation chapters.
Classroom Tip
A quick way to remember the order: Million (6 zeros), Billion (9), Trillion (12). Use the mnemonic "MiB Tri" — Million, Billion, Trillion — and add 3 zeros each time. Vedantu teachers often use simple number charts in class to help students visualize these jumps.
We explored million, billion, trillion in maths—from definition, conversion formulas, examples, mistakes, and how this connects to place value and larger number calculations. Continue practicing these conversions and tricks with Vedantu to become confident in solving all types of large number problems!
For further learning, check out these essential resources:
- Number System – Grasp the basics behind all large numbers.
- Place Value – Understand the logic of grouping numbers in Indian and International formats.
- Large Numbers – Practice problems and see larger number names up to quintillion.
- Conversion of Units – More tips and tricks for units, currency, and measurement conversions.
FAQs on Million, Billion, Trillion in Maths: Definitions, Charts & Conversions
1. What is a million billion trillion called?
A million billion trillion is called a quintillion in the short scale, which is widely used in the United States and modern English-speaking countries. The value can be expressed as:
- 1 million = $10^6$
- 1 billion = $10^9$
- 1 trillion = $10^{12}$
2. What comes after trillion?
After a trillion ($10^{12}$), the next large number is called a quadrillion ($10^{15}$). The sequence of large number names is:
- Million ($10^6$)
- Billion ($10^9$)
- Trillion ($10^{12}$)
- Quadrillion ($10^{15}$)
- Quintillion ($10^{18}$)
3. What is a vigintillion?
A vigintillion is a very large number. In the short scale (used in most English-speaking countries), a vigintillion is $10^{63}$, which is a 1 followed by 63 zeros. In the long scale (used in some European countries), it is $10^{120}$. Learning about such large numbers can be fascinating, and Vedantu's educators can guide students through concepts of exponents and number naming conventions.
4. What number is a zillion?
The term zillion is not an actual mathematical value. It is an informal way to refer to an extremely large, indefinite number, used in casual speech rather than in scientific contexts. For learning about real large numbers like billion, trillion, and beyond, refer to Vedantu’s structured math courses.
5. What is the difference between billion and trillion in numbers?
Billion and trillion differ by a factor of one thousand. Specifically:
- Billion = $1,000,000,000$ ($10^9$)
- Trillion = $1,000,000,000,000$ ($10^{12}$)
6. How are large numbers like million, billion, and trillion written in scientific notation?
Large numbers are commonly written in scientific notation to make calculations easier. Examples include:
- Million: $1,000,000$ = $1 imes 10^6$
- Billion: $1,000,000,000$ = $1 imes 10^9$
- Trillion: $1,000,000,000,000$ = $1 imes 10^{12}$
7. Why do we use different names like million, billion, and trillion in mathematics?
Different names like million, billion, and trillion help us read, write, and understand large numbers more easily. Using these names avoids the confusion of counting lots of zeroes and is especially useful in subjects like finance, astronomy, and population studies. At Vedantu, students learn efficient ways to represent and communicate large numbers through guided problem-solving and activities.
8. How can students remember the order of large numbers such as million, billion, and trillion?
A helpful way for students to remember the order of large numbers is through mnemonics or stepwise grouping:
- Million ($10^6$)
- Billion ($10^9$)
- Trillion ($10^{12}$)
- Quadrillion ($10^{15}$)
- Quintillion ($10^{18}$)
9. Are there differences in naming large numbers in different countries?
Yes, there are differences. The short scale (used in India, the United States, and most English-speaking countries) and the long scale (used in some parts of Europe) use different names. For example, in the short scale, a billion is $10^9$, whereas in the long scale, a billion is $10^{12}$. Vedantu teachers explain these international variations to help you understand global mathematical nomenclature.
10. How does understanding million, billion, and trillion help in real-life situations?
Understanding million, billion, and trillion is important for real-life applications such as:
- Understanding large populations
- Reading financial or scientific data
- Interpreting statistics and news reports
