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, and trillion in Maths?
In mathematics, million, billion, and trillion represent large numbers based on powers of 10. A million is 1,000,000 (106), a billion is 1,000,000,000 (109), and a trillion is 1,000,000,000,000 (1012). These terms are crucial in various fields like finance and science to express large quantities concisely.
2. How many zeros are in a billion?
A billion has nine zeros: 1,000,000,000. This is equivalent to 109 or one thousand million.
3. How do I convert million to crore?
To convert millions to crores, remember that 1 million equals 10 lakh, and 1 crore equals 10 million. Therefore, to convert millions to crores, divide the number of millions by 10. For example, 20 million is equal to 2 crores (20 million / 10 = 2 crores).
4. What comes after trillion?
After trillion comes quadrillion (1015), followed by quintillion (1018), sextillion (1021), and so on. Each subsequent term represents a thousand times the previous one.
5. Is a billion the same in the US and UK?
In modern usage, a billion is generally accepted as 1,000,000,000 (one thousand million) in both the US and UK. However, historically, the UK used a different system (the 'long scale') where a billion was one million million (1012). This difference is largely obsolete now.
6. Why are million and crore different?
Millions and crores represent different number systems. Millions belong to the international number system, where numbers are grouped in sets of three (thousands, millions, billions). Crores are part of the Indian number system, where the grouping is in sets of two and then three (thousands, lakhs, crores). This difference leads to different numerical representations of the same quantity.
7. How to remember the order of million, billion, trillion?
Use this simple trick: Million (6 zeros), Billion (9 zeros), Trillion (12 zeros). You can also create a mnemonic sentence or use the pattern of adding three zeros at each step.
8. Are these terms used in Indian school exams?
Yes, conversion problems between the Indian (lakhs, crores) and international (millions, billions) number systems are common in many Indian school exams and competitive tests. Understanding these conversions is essential.
9. Can we use scientific notation for such large numbers?
Yes, scientific notation is a very efficient way to represent large numbers. For example, 1 billion can be written as 1 x 109. This notation makes calculations with large numbers much easier.
10. What is the difference between a short scale and a long scale for billions?
The short scale (used in the US and most of the world today) defines a billion as 109 (one thousand million). The long scale (formerly used in many European countries) defined a billion as 1012 (one million million). The short scale is now globally more prevalent.
11. How many millions are in a trillion?
There are one million millions in a trillion (1,000,000,000,000 / 1,000,000 = 1,000,000). This highlights the vast difference between a million and a trillion.
12. Give an example of a real-world application of understanding millions, billions, and trillions.
Understanding these large numbers is crucial in analyzing national budgets, global economic indicators, or scientific measurements like the distance to stars. For example, a country’s GDP is often expressed in trillions of dollars, making it easier to compare economic size across nations.
