Numbers_and_Numeric_System_PPT_Class6_Sainik.pptx

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1. Numbers and Numeric System Sainik School Entrance Exam – Class 6 Presented by: [Your Name/Institution]

2. Introduction to Numbers • A number is a mathematical object used to count, measure, and label. • Examples: 1, 2, 10, 105, 0 • Used daily in money, time, counting, and measuring.

3. Types of Numbers 1. Natural Numbers: 1, 2, 3, ... 2. Whole Numbers: 0, 1, 2, ... 3. Even Numbers: 2, 4, 6, ... 4. Odd Numbers: 1, 3, 5, ... 5. Integers (brief): -3, -2, -1, 0, 1, 2, ...

4. Indian Place Value System • Periods: Ones, Thousands, Lakhs, Crores • Example: 12,34,56,789 Read as: Twelve Crore Thirty-Four Lakh Fifty-Six Thousand Seven Hundred Eighty-Nine

5. International Place Value System • Periods: Ones, Thousands, Millions, Billions • Example: 123,456,789 Read as: One Hundred Twenty-Three Million Four Hundred Fifty-Six Thousand Seven Hundred Eighty-Nine

6. Face Value vs. Place Value • Face Value: Actual digit (e.g., 4 in 543 is 4) • Place Value: Value by position (e.g., 4 in 543 is 40)

7. Reading and Writing Numbers • Indian System: 3,21,456 → Three Lakh Twenty-One Thousand Four Hundred Fifty-Six • International: 321,456 → Three Hundred Twenty-One Thousand Four Hundred Fifty-Six

8. Comparing and Ordering Numbers • Use > (greater), < (less), = (equal) • Example: 4521 > 4512 • Arrange: 345, 123, 567 → 123 < 345 < 567

9. Number Line • A line to show numbers visually • Useful for comparing and ordering numbers • Example: Mark 0 to 10 and show numbers

10. Practice Questions 1. Place value of 6 in 1,62,439? 2. 5,43,210 in words (Indian System)? 3. Compare: 3456 ___ 3546 4. Fill: - 25 is an ___ number. - Face value of 9 in 891 is ___.

11. Recap • Types of Numbers • Indian vs. International Place Value • Face vs. Place Value • Reading and Writing Numbers • Number Line and Comparison

12. Homework / Assignment • Book Exercise: Page M-3, Q1–10 • Write: - 3 examples from Natural, Whole, Even, Odd - 2 large numbers in both Indian & International formats