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About Knowing Our Numbers — Class 6 CBSE

Compare and order large numbers, use Indian and International place-value systems, and estimate with rounding. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 1 (NCERT)). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Knowing Our Numbers

  • Introduction to Large Numbers
  • Comparing and Ordering Numbers
  • Estimation and Rounding Off
  • Indian and International Number Systems
  • Roman Numerals & Review

Interactive lesson · about 20 minutes · checkpoint question after every unit

Knowing Our Numbers — solved examples for Class 6 CBSE

Example 1easy

What is the place value of 6 in 63,412?
  1. A)6
  2. B)60,000
  3. C)6,000
  4. D)600

Step-by-step solution

  1. Identify the position of 6 in 63,412.
  2. 6 is in the ten-thousands place.
    Placevalue=6×10,000=60,000Place value = 6 × 10,000 = 60,000

Answer: 60,000

Example 2medium

The population of a city is 5,42,387. Round it to the nearest ten thousand.
  1. A)5,00,000
  2. B)5,40,000
  3. C)5,42,000
  4. D)5,50,000

Step-by-step solution

  1. The thousands digit is 2 (less than 5).
  2. Round down:
    5,42,387≈5,40,0005,42,387 ≈ 5,40,000

Answer: 5,40,000

Example 3hard

A car costs ₹8,45,000. If the price increases by ₹56,750, estimate the new price to the nearest lakh.
  1. A)₹9,00,000
  2. B)₹10,00,000
  3. C)₹8,00,000
  4. D)₹9,50,000

Step-by-step solution

  1. New price:
    8,45,000+56,750=9,01,7508,45,000 + 56,750 = 9,01,750
  2. Rounded to nearest lakh:
    9,01,750≈9,00,0009,01,750 ≈ 9,00,000

Answer: ₹9,00,000

Practice questions on Knowing Our Numbers

  1. Q1.easy

    Which of the following is the smallest 5-digit number?
    1. A)99,999
    2. B)10,001
    3. C)10,000
    4. D)9,999
    Show answer

    Answer: 10,000

    Hint: The smallest 5-digit number starts with 1 followed by four zeros.

  2. Q2.easy

    Write the number 23,456 in words.
    1. A)Two thousand three hundred forty-six
    2. B)Twenty-three thousand four hundred fifty-six
    3. C)Two lakh thirty-four thousand fifty-six
    4. D)Twenty-three thousand four hundred six
    Show answer

    Answer: Twenty-three thousand four hundred fifty-six

    Hint: Break the number into thousands and hundreds parts.

  3. Q3.easy

    What is the face value of 7 in 47,832?
    1. A)7,000
    2. B)7
    3. C)70
    4. D)700
    Show answer

    Answer: 7

    Hint: Face value of a digit is the digit itself, regardless of its position.

  4. Q4.medium

    Estimate the product 28 × 31 by rounding both to the nearest ten.
    1. A)900
    2. B)930
    3. C)600
    4. D)960
    Show answer

    Answer: 900

    Hint: Round 28 to the nearest ten (30), and 31 to the nearest ten (30).

  5. Q5.medium

    How many lakhs make one crore?
    1. A)10
    2. B)100
    3. C)1,000
    4. D)50
    Show answer

    Answer: 100

    Hint: 1 crore = 1,00,00,000 and 1 lakh = 1,00,000.

  6. Q6.medium

    Write 9,04,070 in the international system using commas.
    1. A)904,070
    2. B)90,40,70
    3. C)9,040,70
    4. D)9,04,070
    Show answer

    Answer: 904,070

    Hint: In the international system, commas are placed after every three digits from the right.

  7. Q7.hard

    Find the difference between the largest and smallest 6-digit numbers formed using the digits 7, 2, 0, 5, 9, 1 (each used once).
    1. A)839,571
    2. B)840,852
    3. C)839,472
    4. D)840,942
    Show answer

    Answer: 839,571

    Hint: Largest: arrange digits descending. Smallest: arrange ascending (but 0 cannot be first).

  8. Q8.hard

    Write the Roman numeral for 399.
    1. A)CCCXCIX
    2. B)CCCIC
    3. C)CDIC
    4. D)XXXCIX
    Show answer

    Answer: CCCXCIX

    Hint: 399 = 300 + 90 + 9. Convert each part separately.

  9. Q9.hard

    A school has 1,872 students. If each student donates ₹45, estimate the total donation by rounding both numbers.
    1. A)₹90,000
    2. B)₹80,000
    3. C)₹1,00,000
    4. D)₹95,000
    Show answer

    Answer: ₹90,000

    Hint: Round 1,872 to the nearest thousand and 45 to the nearest ten.

These are 9 of the 60 questions available for Knowing Our Numbers. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.