Introduction
Numbers play a crucial role in mathematics and daily life. In this chapter, we will explore number names and number sense for 7-digit and 8-digit numbers.
Understanding Large Numbers
In the Indian numbering system, large numbers are represented using place values such as Lakhs and Crores. In the International system, they are represented using Millions.
Place Value Chart
Indian Place Value System
The Indian place value system groups digits into ones, tens, hundreds, thousands, lakhs, and crores.
- 1 (One)
- 10 (Ten)
- 100 (Hundred)
- 1,000 (Thousand)
- 10,000 (Ten Thousand)
- 1,00,000 (One Lakh)
- 10,00,000 (Ten Lakh)
- 1,00,00,000 (One Crore)
International Place Value System
In the International system, large numbers are grouped as follows:
- 1 (One)
- 10 (Ten)
- 100 (Hundred)
- 1,000 (Thousand)
- 10,000 (Ten Thousand)
- 100,000 (Hundred Thousand)
- 1,000,000 (One Million)
- 10,000,000 (Ten Million)
Reading and Writing Large Numbers
To read and write large numbers, follow these steps:
- Start from the left and group the digits according to the place value chart.
- Use commas to separate different periods (as per the Indian or International system).
- Read each group of digits along with their place value.
Examples
Indian System
7-digit number: 25,43,678 (Twenty-five lakh forty-three thousand six hundred seventy-eight)
8-digit number: 5,34,76,891 (Five crore thirty-four lakh seventy-six thousand eight hundred ninety-one)
International System
7-digit number: 2,543,678 (Two million five hundred forty-three thousand six hundred seventy-eight)
8-digit number: 53,476,891 (Fifty-three million four hundred seventy-six thousand eight hundred ninety-one)
Comparison of Numbers
To compare numbers, check the number of digits first. If they have the same number of digits, compare place values from left to right.
Expanding Numbers
Numbers can be expanded according to their place values. For example:
5,34,76,891 = 5,00,00,000 + 30,00,000 + 4,00,000 + 70,000 + 6,000 + 800 + 90 + 1
Conclusion
Understanding large numbers, their names, and place values helps in mathematical calculations and real-life applications.