Knowing Our Numbers

Knowing Our Numbers

Knowing Our Numbers

Introduction to Place Value, Expanded Form, and Estimation

This interactive chapter introduces the basics of numbers, comparing large numbers, understanding place value in both Indian and International systems, forming the greatest and smallest numbers, and practicing estimation (rounding off).

Key Topics & Instructions

Chapter Objectives:
  • Compare and order large numbers.
  • Understand Indian and International place value systems.
  • Write numbers in expanded and standard form.
  • Practice rounding off to the nearest 10, 100, and 1000.
How to Use:
  1. Enter a number to visualize its place value and expanded form.
  2. Select a system to see the number's representation (Indian/International).
  3. Use the rounding section to practice estimation.

Experiment 1: Place Value and Expanded Form

Input a number (up to 9 digits) to visualize its place value and expanded form.

Expanded Form
70000000 + 3000000 + 400000 + 50000 + 6000 + 700 + 80 + 9
Place Value of '4'
400000

Experiment 2: Rounding Off (Estimation)

Enter a number and select a place to round it to.

Original Number
6874
Rounded Result
7000
Understanding Place Value:

The place value of a digit is its face value multiplied by the value of its position (e.g., Ones, Tens, Hundreds, Thousands, etc.). Expanded form shows a number as the sum of the place values of its digits.

Indian vs. International System

The **Indian System** uses place values like Ones, Thousands, Lakhs, Crores (e.g., 1,00,00,000 is one crore). The **International System** uses Ones, Thousands, Millions, Billions (e.g., 10,000,000 is ten million). The difference is mainly in the placement of commas and the names for higher places.

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