📘 Class-6 Chapter Whole Numbers – Exercise 2.6 Large Numbers & Patterns (Application of Whole Numbers) (Worksheet 50 Questions)

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🔍 What this Exercise Covers

Exercise 2.6 is the final application-based exercise of the chapter. It includes:

  • Working with large whole numbers
  • Using patterns and properties together
  • Applying concepts in real-life situations
  • Developing logical reasoning

🔢 1. Working with Large Numbers

Whole numbers can be very large:

👉 Example:
1,000 → 10,000 → 1,00,000

📌 Important:

  • Place value understanding is useful
  • Numbers keep increasing infinitely

🔄 2. Using Properties for Big Calculations

Instead of direct multiplication, use smart methods:

Example:

  • 99 × 6 = (100 × 6) − (1 × 6)
    = 600 − 6 = 594

👉 Faster and easier

🧠 3. Pattern Observation

Example:

  • 1 × 9 + 2 = 11
  • 12 × 9 + 3 = 111
  • 123 × 9 + 4 = 1111

👉 Pattern builds numbers

📌 4. Key Learning

  • Break big numbers into smaller parts
  • Use distributive property
  • Observe patterns carefully

✍️ Exercise 2.6 – Worksheet (50 Questions)

🔢 Section A: Work with Large Numbers (1–10)

  1. Write successor of 99,999
  2. Write predecessor of 1,00,000
  3. Write next three numbers after 50,000
  4. Write previous three numbers before 10,000
  5. What comes after 9,99,999?
  6. What comes before 1,00,001?
  7. Write three numbers greater than 75,000
  8. Write three numbers less than 20,000
  9. Find successor of 1,23,456
  10. Find predecessor of 5,00,000

✍️ Section B: Simplify Using Smart Methods (11–20)

  1. 99 × 5
  2. 98 × 6
  3. 100 × 25
  4. 999 × 4
  5. 50 × 18
  6. 25 × 16
  7. 75 × 12
  8. 200 × 15
  9. 500 × 24
  10. 125 × 8

🧠 Section C: Pattern Questions (21–30)

  1. 1 × 9 + 2 = ___
  2. 12 × 9 + 3 = ___
  3. 123 × 9 + 4 = ___
  4. 1234 × 9 + 5 = ___
  5. 1 × 8 + 1 = ___
  6. 12 × 8 + 2 = ___
  7. 123 × 8 + 3 = ___
  8. 2, 4, 8, 16, ___
  9. 5, 10, 20, 40, ___
  10. 10, 100, 1000, ___

🔄 Section D: Reasoning Questions (31–40)

  1. Why is 100 × 25 easy to calculate?
  2. Explain trick for 99 × any number
  3. What pattern is seen in 1, 11, 111?
  4. Why are whole numbers infinite?
  5. How can distributive property help in large multiplication?
  6. What is advantage of patterns?
  7. Explain successor of large number
  8. Why is predecessor useful?
  9. What happens if we subtract a bigger number from smaller?
  10. Can we find largest whole number? Why?

🧩 Section E: Case-Based Questions (41–50)

📦 Case Study: Warehouse Boxes

A warehouse stores 125 boxes in each row. There are 8 rows.

  1. Total boxes?
  2. Solve using smart method
  3. Which property is used?

🏫 Case Study: School Students

A school has 999 students in each block and 4 blocks.

  1. Total students?
  2. Solve using shortcut method
  3. What pattern or trick is used?

🚗 Case Study: Parking Slots

A parking area has 100 spaces in each section and 25 sections.

  1. Total parking spaces?
  2. Why is multiplication easy here?

🏬 Case Study: Mall Visitors

A mall has 50 visitors per group and 18 groups.

  1. Total visitors?
  2. Solve using distributive property

✅ Answer Key

Section A

  1. 1,00,000
  2. 99,999
  3. 50,001, 50,002, 50,003
  4. 9,999, 9,998, 9,997
  5. 10,00,000
  6. 1,00,000
  7. Example: 75,001, 75,002, 75,003
  8. Example: 19,999, 19,998, 19,997
  9. 1,23,457
  10. 4,99,999

Section B

  1. 495
  2. 588
  3. 2500
  4. 3996
  5. 900
  6. 400
  7. 900
  8. 3000
  9. 12000
  10. 1000

Section C

  1. 11
  2. 111
  3. 1111
  4. 11111
  5. 9
  6. 98
  7. 987
  8. 32
  9. 80
  10. 10000

Section D (Sample Answers)

  1. Multiply by 100 then adjust
  2. Use (100 − 1) method
  3. Repeating pattern
  4. No end
  5. Break into parts
  6. Saves time
  7. Add 1
  8. Helps in ordering
  9. Negative number
  10. No

Section E

  1. 1000
  2. 125×8 = 1000
  3. Multiplication / distributive
  4. 3996
  5. 999×4 = (1000×4 − 4) = 3996
  6. Shortcut method
  7. 2500
  8. Multiples of 100
  9. 900
  10. 50×10 + 50×8 = 500 + 400 = 900
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