Numbers and Operations
This interactive chapter helps students explore numbers up to 1,00,000, understand place value and expanded form, and perform fundamental operations — addition, subtraction, multiplication, and division. Students also learn Roman numerals, factors, multiples, LCM, and HCF through hands-on activities.
Key Topics & Instructions
▼- Understand numbers up to 1,00,000 and place values.
- Perform the four operations on large numbers.
- Learn about factors, multiples, LCM, and HCF.
- Practice Roman numerals up to 100.
- Enter two numbers to find their LCM and HCF.
- Use the operation selector to practice addition, subtraction, multiplication, and division.
- Visualize place value for any given number.
Experiment 1: Place Value and Operations
Input a number to visualize its place value and perform basic operations.
Experiment 2: LCM & HCF Finder
Enter two numbers to find their Least Common Multiple and Highest Common Factor.
Each digit in a number has a value depending on its position. For example, in 54321, 5 stands for 50,000 and 1 stands for 1. Expanded form helps to express the number as a sum of its place values.
Understanding LCM and HCF
The largest number that divides two or more numbers exactly. Example: HCF of 24 and 36 is 12.
The smallest number that is a multiple of two or more numbers. Example: LCM of 24 and 36 is 72.
For any two numbers a and b: a × b = HCF × LCM
