Loading...

About Large Numbers Around Us — Class 7 CBSE

Work with large numbers, estimation, and Indian and international numeration systems. This topic is part of the CBSE Class 7 mathematics syllabus (chapter: Chapter 1). On this page you can practice 61 questions across three difficulty levels — 21 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 Large Numbers Around Us

  • Understanding Large Numbers with the Indian Place Value System
  • Indian vs. International Place Value Systems
  • Comparing and Ordering Large Numbers
  • Estimation and Rounding Large Numbers
  • Putting It All Together: Solving Problems with Large Numbers

Interactive lesson · about 15 minutes · checkpoint question after every unit

Large Numbers Around Us — solved examples for Class 7 CBSE

Example 1easy

When we write the number 7,05,00,210 in the Indian System of Numeration, what is the correct way to read it?
  1. A)Seven crore five lakh two hundred ten
  2. B)Seventy lakh five thousand two hundred ten
  3. C)Seven crore fifty lakh two hundred ten
  4. D)Seven million five hundred thousand two hundred ten

Step-by-step solution

  1. In the Indian System, commas are placed after the hundreds, then after every two digits.
  2. The number 7,05,00,210 has groups: 210 (hundreds), 00 (thousands), 05 (lakhs), 7 (crores).
  3. Therefore, it is read as Seven crore, five lakh, two hundred ten.

Answer: Seven crore five lakh two hundred ten

Example 2medium

What is the number name for 8,05,07,013 in the Indian System of Numeration?
  1. A)A. Eight crore five lakh seven thousand thirteen
  2. B)B. Eight crore fifty lakh seven thousand thirteen
  3. C)C. Eight crore five lakh seventy thousand thirteen
  4. D)D. Eight crore five lakh seven thousand one hundred three

Step-by-step solution

  1. In the Indian System, the number 8,05,07,013 is read by grouping digits from the right: 013 (ones period), 07 (thousands period), 05 (lakhs period), 8 (crores period).
  2. So, 8,05,07,013 is read as Eight crore five lakh seven thousand thirteen.

Answer: A. Eight crore five lakh seven thousand thirteen

Example 3hard

What is the largest 7-digit number that can be formed using the digits 0-9 (repetition allowed), such that the digit at the Ten Lakhs place is 6?
  1. A)99,69,999
  2. B)96,99,999
  3. C)86,99,999
  4. D)96,99,990

Step-by-step solution

  1. A 7-digit number in the Indian system has places: Crores, Ten Lakhs, Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones.
  2. The Ten Lakhs place is the 6th digit from the right. It must be 6.
  3. To make the number largest, fill the Crores place (7th digit) with the largest digit, 9. Then, fill all remaining unspecified places (Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones) with 9, as repetition is allowed.
  4. This results in the number 9,699,999 which is 96,99,999 in the Indian system.

Answer: 96,99,999

Practice questions on Large Numbers Around Us

  1. Q1.easy

    A country's population is written as 'Four hundred fifty-three million two hundred one thousand five hundred' in the International System. Which of the following is its correct numeral form?
    1. A)45,32,01,500
    2. B)453,201,500
    3. C)4,532,015,00
    4. D)453,000,201,500
    Show answer

    Answer: 453,201,500

    Hint: Remember that in the International System, numbers are grouped in threes from the right, corresponding to thousands, millions, and so on.

  2. Q2.easy

    Ravi was asked to write the number 'Nine crore forty-five thousand six hundred two' using commas in the Indian System. He wrote it as 9,45,602. What mistake did he make?
    1. A)He used the International System comma placement instead of the Indian System.
    2. B)He missed a zero in the lakhs place, making 45 thousand appear as 45 lakh.
    3. C)He missed a zero in the lakhs place, making the number much smaller than it should be.
    4. D)He placed commas correctly, but the number itself is wrong.
    Show answer

    Answer: He missed a zero in the lakhs place, making the number much smaller than it should be.

    Hint: Carefully consider the place values 'crore' and 'thousand'. Are there any missing groups between them in Ravi's number?

  3. Q3.easy

    Which of the following statements correctly explains the difference between 1 Lakh and 1 Million?
    1. A)1 Lakh is equal to 1 Million.
    2. B)1 Lakh is 10 times smaller than 1 Million.
    3. C)1 Million is 10 times smaller than 1 Lakh.
    4. D)1 Lakh is 100 times smaller than 1 Million.
    Show answer

    Answer: 1 Lakh is 10 times smaller than 1 Million.

    Hint: Write down the numerical value for 1 Lakh in the Indian System and 1 Million in the International System, then compare them.

  4. Q4.medium

    What is the number name for 64,005,109 in the International System of Numeration?
    1. A)A. Sixty-four million fifty thousand one hundred nine
    2. B)B. Sixty-four million five thousand one hundred nine
    3. C)C. Sixty-four million five hundred one thousand nine
    4. D)D. Six million four hundred five thousand one hundred nine
    Show answer

    Answer: B. Sixty-four million five thousand one hundred nine

    Hint: Group the digits into sets of three from the right: ones, thousands, millions.

  5. Q5.medium

    Find the difference between the place value and face value of the digit '7' in the number 5,73,28,109.
    1. A)A. 70,00,000
    2. B)B. 69,99,993
    3. C)C. 7,00,000
    4. D)D. 6,99,993
    Show answer

    Answer: B. 69,99,993

    Hint: Recall that place value depends on the position of the digit, while face value is the digit itself.

  6. Q6.medium

    Which of the following numbers is the smallest?
    1. A)A. 9,08,76,543
    2. B)B. 9,80,76,543
    3. C)C. 9,07,86,543
    4. D)D. 9,08,67,543
    Show answer

    Answer: C. 9,07,86,543

    Hint: To compare large numbers, start by comparing the digits from the leftmost place value.

  7. Q7.hard

    A 6-digit number, when rounded to the nearest ten thousand, becomes 5,80,000. What is the sum of the smallest and largest possible original numbers?
    1. A)11,60,000
    2. B)11,59,998
    3. C)11,59,999
    4. D)11,50,000
    Show answer

    Answer: 11,59,999

    Hint: Recall the rules for rounding to the nearest ten thousand. A number rounds up if its thousands digit is 5 or greater, and rounds down if it's 4 or less.

  8. Q8.hard

    Consider the following numbers: P = 75 Ten Thousands, Q = 7 Lakhs, R = 7.5 Million (International System). Arrange them in ascending order.
    1. A)P, Q, R
    2. B)Q, R, P
    3. C)R, P, Q
    4. D)Q, P, R
    Show answer

    Answer: Q, P, R

    Hint: Convert all numbers to a common system (e.g., Indian System) before comparing them. Remember that 1 Million = 10 Lakhs.

  9. Q9.hard

    Ravi was asked to write 'Seven Crore Fifty Lakh Three Thousand Two Hundred One' in the International System. He wrote it as 7,500,320,100. What was Ravi's mistake?
    1. A)He confused 'Crore' with 'Million' and 'Lakh' with 'Hundred Thousand'.
    2. B)He misplaced the commas, making the number smaller than intended.
    3. C)He added too many zeros, effectively multiplying the number by 100.
    4. D)He treated 'Seven Crore' as 'Seven Billion' and 'Fifty Lakh' as 'Five Hundred Million'.
    Show answer

    Answer: He treated 'Seven Crore' as 'Seven Billion' and 'Fifty Lakh' as 'Five Hundred Million'.

    Hint: First, write the given number correctly in both Indian and International systems. Then, compare Ravi's number to the correct International representation to identify the magnitude of his error.

These are 9 of the 61 questions available for Large Numbers Around Us. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.