NCERT Solutions for Class 7 Maths Chapter 1 Large Numbers Around Us provide clear, step-by-step answers to every exercise and in-text question from the chapter Large Numbers Around Us of the NCERT textbook Ganita Prakash. Prepared by subject experts as per the latest NCERT (CBSE) syllabus for 2026-27, these NCERT Solutions for Class 7 Maths help you understand each concept, write exam-ready answers, and check your own solutions. You can read them online below or download the free Class 7 Maths Chapter 1 question-answer PDF.
NCERT Solutions for Class 7 Maths Chapter 1 Large Numbers Around Us
- Class: Class 7
- Subject: Maths
- Chapter: Chapter 1 – Large Numbers Around Us
- Textbook: Ganita Prakash (NCERT)
- Study material: NCERT Solutions – questions with answers, free PDF
These solutions answer all the exercise questions of Chapter 1 Large Numbers Around Us — including the in-text questions, short-answer and long-answer questions, and activities — with complete explanations so you can follow the method, not just the final answer. Read the full solutions below.
NCERT Solutions Class 7 Maths Chapter 1 Large Numbers Around Us View Download
NCERT Solutions for Class 7 Maths Chapter 1 PDF Download
You can read the NCERT Solutions for Class 7 Maths Chapter 1 online above, or download the complete question-answer PDF to study Large Numbers Around Us offline at any time.
NCERT Solutions for Class 7 Maths Chapter 1 PDF Download Link – Click Here to Download Solutions PDF
Questions Covered in This Chapter
These NCERT Solutions answer all 83 questions of this chapter. The questions solved are:
- Estu wondered, “One lakh! So far I have only tasted 3 varieties. If we tried a new variety each day, would we even come close to tasting all the varieties in a lifetime of 100 years?” What do you think? Guess.
- But how much is one lakh? Observe the pattern and fill in the boxes given below. (The largest 3-digit number is 999 → the smallest 4-digit number is ___ → the largest 4-digit number is ___ → the smallest 5-digit number is ___ → the largest 5-digit number is ___ → the smallest 6-digit number is 1,00,000; and the chain 99,995 → 99,996 → ___ → 99,998 → ___ → … )
- What if a person ate 3 varieties of rice every day? Will they be able to taste all the lakh varieties in a 100 year lifetime? Find out.
- Choose a number for y. How close to one lakh is the number of days in y years, for the y of your choice?
- According to the 2011 Census, the population of the town of Chintamani was about 75,000. How much less than one lakh is 75,000?
- The estimated population of Chintamani in the year 2024 is 1,06,000. How much more than one lakh is 1,06,000?
- By how much did the population of Chintamani increase from 2011 to 2024?
- Look at the picture on the right. Somu is 1 metre tall. If each floor is about four times his height, what is the approximate height of the building?
- Which is taller — The Statue of Unity or this building? How much taller? ____________ m.
- How much taller is the Kunchikal waterfall than Somu's building? ____________ m.
- How many floors should Somu's building have to be as high as the waterfall? ____________ .
- How do you view a lakh — is a lakh big or small?
- Write each of the numbers given below in words: (a) 3,00,600 (b) 5,04,085 (c) 27,30,000 (d) 70,53,138
- Write the corresponding number in the Indian place value system for each of the following: (a) One lakh twenty three thousand four hundred and fifty six (b) Four lakh seven thousand seven hundred and four (c) Fifty lakhs five thousand and fifty (d) Ten lakhs two hundred and thirty five
- The Thoughtful Thousands only has a +1000 button. How many times should it be pressed to show: (a) Three thousand? 3 times (b) 10,000? (c) Fifty three thousand? (d) 90,000? (e) One Lakh? (f) ______? 153 times (g) How many thousands are required to make one lakh?
- The Tedious Tens only has a +10 button. How many times should it be pressed to show: (a) Five hundred? (b) 780? (c) 1000? (d) 3700? (e) 10,000? (f) One lakh? (g) ______? 435 times
- The Handy Hundreds only has a +100 button. How many times should it be pressed to show: (a) Four hundred? (b) 3,700? (c) 10,000? (d) Fifty three thousand? (e) 90,000? (f) 97,600? (g) 1,00,000? (h) ______? 582 times (i) How many hundreds are required to make ten thousand? (j) How many hundreds are required to make one lakh? (k) Handy Hundreds says, “There are some numbers which Tedious Tens and Thoughtful Thousands can’t show but I can.” Is this statement true? Think and explore.
- Creative Chitti is a different kind of calculator. It has the following buttons: +1, +10, +100, +1000, +10000, +100000 and +1000000. It always has multiple ways of doing things. To get the number 321, it presses +10 thirty two times and +1 once. Will it get 321? Alternatively, it can press +100 two times and +10 twelve times and +1 once.
- Two of the many different ways to get 5072 are shown below. These two ways can be expressed as: (a) (50 × 100) + (7 × 10) + (2 × 1) = 5072 (b) (3 × 1000) + (20 × 100) + (72 × 1) = 5072. Find a different way to get 5072 and write an expression for the same.
- For each number given below, write expressions for at least two different ways to obtain the number through button clicks. Think like Chitti and be creative. (a) 8300 (b) 40629 (c) 56354 (d) 66666 (e) 367813
- Creative Chitti has some questions for you — (a) You have to make exactly 30 button presses. What is the largest 3-digit number you can make? What is the smallest 3-digit number you can make?
- 997 can be made using 25 clicks. Can you make 997 with a different number of clicks?
- Systematic Sippy has the buttons +1, +10, +100, +1000, +10000, +100000. It wants to be used as minimally as possible. How can we get the numbers (a) 5072, (b) 8300 using as few button clicks as possible? Also: the table shows one way to get 5072 using 23 button clicks. Is there another way to get 5072 using less than 23 button clicks? Write the expression for the same.
- For the numbers in the previous exercise, find out how to get each number by making the smallest number of button clicks and write the expression.
- Do you see any connection between each number and the corresponding smallest number of button clicks?
- If you notice, the expressions for the least button clicks also give the Indian place value notation of the numbers. Think about why this is so.
- What if we press the +10,00,000 button ten times? What number will come up? How many zeroes will it have? What should we call it?
- How many zeros does a thousand lakh have? _____
- How many zeros does a hundred thousand have? ____
- Read the following numbers in Indian place value notation and write their number names in both the Indian and American systems: (a) 4050678 (b) 48121620 (c) 20022002 (d) 246813579 (e) 345000543 (f) 1020304050
- Write the following numbers in Indian place value notation: (a) One crore one lakh one thousand ten (b) One billion one million one thousand one (c) Ten crore twenty lakh thirty thousand forty (d) Nine billion eighty million seven hundred thousand six hundred
- Compare and write ‘<’, ‘>’ or ‘=’: (a) 30 thousand ____ 3 lakhs (b) 500 lakhs ______ 5 million (c) 800 thousand ____ 8 million (d) 640 crore ______ 60 billion
- What do you think of this conversation? Have you read or heard such headlines or statements? (“1 lakh people visited the book fair.” “If I had not gone, they would have written 99,999 people visited the book fair last week.”)
- Think and share situations where it is appropriate to (a) round up, (b) round down, (c) either rounding up or rounding down is okay and (d) when exact numbers are needed.
- Similarly, write the five nearest neighbours for these numbers: (a) 3,87,69,957 (b) 29,05,32,481
- I have a number for which all five nearest neighbours are 5,00,00,000. What could the number be? How many such numbers are there?
- 4,63,128 + 4,19,682. Roxie: “The sum is near 8,00,000 and is more than 8,00,000.” Estu: “The sum is near 9,00,000 and is less than 9,00,000.” (a) Are these estimates correct? Whose estimate is closer to the sum? (b) Will the sum be greater than 8,50,000 or less than 8,50,000? Why do you think so? (c) Will the sum be greater than 8,83,128 or less than 8,83,128? Why do you think so? (d) Exact value of 4,63,128 + 4,19,682 = ___________
- 14,63,128 – 4,90,020. Roxie: “The difference is near 10,00,000 and is less than 10,00,000.” Estu: “The difference is near 9,00,000 and is more than 9,00,000.” (a) Are these estimates correct? Whose estimate is closer to the difference? (b) Will the difference be greater than 9,50,000 or less than 9,50,000? Why do you think so? (c) Will the difference be greater than 9,63,128 or less than 9,63,128? Why do you think so? (d) Exact value of 14,63,128 – 4,90,020 = __________
- From the information given in the table, answer the following questions by approximation: What is your general observation about this data? Share it with the class.
- What is an appropriate title for the above table?
- How much is the population of Pune in 2011? Approximately, by how much has it increased compared to 2001?
- Which city’s population increased the most between 2001 and 2011?
- Are there cities whose population has almost doubled? Which are they?
- By what number should we multiply Patna’s population to get a number/population close to that of Mumbai?
- Using the meaning of multiplication and division, can you explain why multiplying by 5 is the same as dividing by 2 and multiplying by 10?
- Find quick ways to calculate these products: (a) 2 × 1768 × 50 (b) 72 × 125 [Hint: 125 = 1000 ÷ 8] (c) 125 × 40 × 8 × 25
- Calculate these products quickly. (a) 25 × 12 = _____ (b) 25 × 240 = _____ (c) 250 × 120 = _____ (d) 2500 × 12 = _____ (e) ______ × ______ = 120000000
- In each of the following boxes, the multiplications produce interesting patterns. Evaluate them to find the pattern. Extend the multiplications based on the observed pattern. (11 × 11, 111 × 111, 1111 × 1111; 66 × 61, 666 × 661, 6666 × 6661; 3 × 5, 33 × 35, 333 × 335; 101 × 101, 102 × 102, 103 × 103)
- Observe the number of digits in the two numbers being multiplied and their product in each case. Is there any connection between the numbers being multiplied and the number of digits in their product?
- Roxie says that the product of two 2-digit numbers can only be a 3- or a 4-digit number. Is she correct?
- Should we try all possible multiplications with 2-digit numbers to tell whether Roxie’s claim is true? Or is there a better way to find out?
- Can multiplying a 3-digit number with another 3-digit number give a 4-digit number?
- Can multiplying a 4-digit number with a 2-digit number give a 5-digit number?
- Observe the multiplication statements below. Do you notice any patterns? See if this pattern extends for other numbers as well. (1-digit × 1-digit = 1-digit or 2-digit; 2-digit × 1-digit = 2-digit or 3-digit; 2-digit × 2-digit = 3-digit or 4-digit; 3-digit × 3-digit = 5-digit or 6-digit; 5-digit × 5-digit = ___ or ___; 8-digit × 3-digit = ___ or ___; 12-digit × 13-digit = ___ or ___)
- 1250 × 380 = ______________ is the number of kīrtanas composed by Purandaradāsa according to legends. How many years did he live to compose so many songs? At what age did he start composing songs? If he composed 4,75,000 songs, how many songs per year did he have to compose?
- 2100 × 70,000 = _______________ is the approximate distance in kilometers, between the Earth and the Sun.
- 6400 × 62,500 = _________________ is the average number of litres of water the Amazon river discharges into the Atlantic Ocean every second.
- 13,95,000 ÷ 150 = _________________ is the distance (in kms) of the longest single-train journey in the world.
- Adult blue whales can weigh more than 10,50,00,000 ÷ 700 = _________________ kilograms.
- 52,00,00,00,000 ÷ 130 = _________________ was the weight, in tonnes, of global plastic waste generated in the year 2021.
- “Could the entire population of Mumbai fit into 1 lakh buses?” What do you think? How can we find out?
- The RMS Titanic ship carried about 2500 passengers. Can the population of Mumbai fit into 5000 such ships?
- Roxie wondered, “If I could travel 100 kilometers every day, could I reach the Moon in 10 years?” (The distance between the Earth and the Moon is 3,84,400 km.) How far would she have travelled in a year? How far would she have travelled in 10 years?
- Find out if you can reach the Sun in a lifetime, if you travel 1000 kilometers every day. (You had written down the distance between the Earth and the Sun in a previous exercise.)
- Make necessary reasonable assumptions and answer the questions below: (a) If a single sheet of paper weighs 5 grams, could you lift one lakh sheets of paper together at the same time? (b) If 250 babies are born every minute across the world, will a million babies be born in a day? (c) Can you count 1 million coins in a day? Assume you can count 1 coin every second.
- Using all digits from 0 – 9 exactly once (the first digit cannot be 0) to create a 10-digit number, write the — (a) Largest multiple of 5 (b) Smallest even number
- The number 10,30,285 in words is Ten lakhs thirty thousand two hundred eighty five, which has 42 letters. Give a 7-digit number name which has the maximum number of letters.
- Write a 9-digit number where exchanging any two digits results in a bigger number. How many such numbers exist?
- Strike out 10 digits from the number 12345123451234512345 so that the remaining number is as large as possible.
- The words ‘zero’ and ‘one’ share letters ‘e’ and ‘o’. The words ‘one’ and ‘two’ share a letter ‘o’, and the words ‘two’ and ‘three’ also share a letter ‘t’. How far do you have to count to find two consecutive numbers which do not share an English letter in common?
- Suppose you write down all the numbers 1, 2, 3, 4, …, 9, 10, 11, … The tenth digit you write is ‘1’ and the eleventh digit is ‘0’, as part of the number 10. (a) What would the 1000th digit be? At which number would it occur? (b) What number would contain the millionth digit? (c) When would you have written the digit ‘5’ for the 5000th time?
- A calculator has only ‘+10,000’ and ‘+100’ buttons. Write an expression describing the number of button clicks to be made for the following numbers: (a) 20,800 (b) 92,100 (c) 1,20,500 (d) 65,30,000 (e) 70,25,700
- How many lakhs make a billion?
- You are given two sets of number cards numbered from 1 – 9. Place a number card in each box below to get the (a) largest possible sum (b) smallest possible difference of the two resulting numbers. (The boxes make a 7-digit number above a 5-digit number.)
- You are given some number cards; 4000, 13000, 300, 70000, 150000, 20, 5. Using the cards get as close as you can to the numbers below using any operation you want. Each card can be used only once for making a particular number. (a) 1,10,000 (b) 2,00,000 (c) 5,80,000 (d) 12,45,000 (e) 20,90,800
- Find out how many coins should be stacked to match the height of the Statue of Unity. Assume each coin is 1 mm thick.
- Grey-headed albatrosses have a roughly 7-feet wide wingspan. They are known to migrate across several oceans. Albatrosses can cover about 900 – 1000 km in a day. One of the longest single trips recorded is about 12,000 km. How many days would such a trip take to cross the Pacific Ocean approximately?
- A bar-tailed godwit holds the record for the longest recorded non-stop flight. It travelled 13,560 km from Alaska to Australia without stopping. Its journey started on 13 October 2022 and continued for about 11 days. Find out the approximate distance it covered every day. Find out the approximate distance it covered every hour.
- Bald eagles are known to fly as high as 4500 – 6000 m above the ground level. Mount Everest is about 8850 m high. Aeroplanes can fly as high as 10,000 – 12,800 m. How many times bigger are these heights compared to Somu’s building?
- We can write digits using sticks as shown in the image. To make the digit 7, three sticks are needed. Write or make the number 5108. How many sticks are required?
- 1. Make or write the number 42,019. It would require exactly 23 sticks. 2. Starting with 42,019, add or write two more sticks, and make a bigger number. One example is 42,078. What other numbers bigger than 42,019 can you make in this way? 3. Preetham wants to insert the digit ‘1’ somewhere among the digits ‘4’, ‘2’, ‘0’, ‘1’ and ‘9’. Where should he place the digit ‘1’ to get the biggest possible number? 4. What other numbers can he make by placing the digit ‘1’?
- 1. Make or write the number 63,890. 2. Starting with 63,890, rearrange exactly four sticks and make a bigger number. One example is 88,078. What other numbers bigger than 63,890 can you make in this way?
- 1. Make any number using exactly 24 sticks or lines. 2. What is the biggest number that can be made using 24 sticks or lines? 3. What is the smallest number that can be made using 24 sticks or lines?
Chapter at a Glance
- 1 lakh = 1,00,000 (1 followed by 5 zeroes); 1 crore = 1,00,00,000 (7 zeroes); 1 arab = 1,00,00,00,000 (9 zeroes).
- Indian system groups digits 3-2-2-2 from the right (thousand, lakh, crore); the American/International system groups them 3-3-3 (thousand, million, billion).
- 1 million = 10 lakh, 1 billion = 100 crore = 1 arab, and 10,000 lakh make one billion.
- Big numbers become meaningful when you compare them with something familiar — Somu's 40 m building, a 100-year lifetime, the seats in a stadium.
- Rounding up, rounding down and the five 'nearest neighbours' (nearest thousand, ten thousand, lakh, ten lakh, crore) let you answer questions quickly without exact arithmetic.
- Regrouping factors makes multiplication easy: ×5 is ÷2 then ×10, ×25 is ×100 then ÷4, ×125 is ×1000 then ÷8.
- An m-digit number times an n-digit number always has either (m + n − 1) or (m + n) digits.
How to Download NCERT Solutions for Class 7 Maths Chapter 1 PDF
Follow these simple steps to get the Large Numbers Around Us questions-and-answers PDF from Ganita Prakash.
- Search NCERT Solutions for Class 7 Maths Chapter 1 aglasem and open this page.
- Read the exercise questions with answers for Large Numbers Around Us shown above.
- Click the Download PDF link to save the Large Numbers Around Us solutions to your device.
NCERT Solutions for Class 7 Maths – All Chapters
There are more chapters to study besides Large Numbers Around Us in Maths. Here are the NCERT Solutions for all chapters of Class 7 Maths.
- Chapter 1 Large Numbers Around Us
- Chapter 2 Arithmetic Expressions
- Chapter 3 a Peek Beyond the Point
- Chapter 4 Expressions Using Letter Numbers
- Chapter 5 Parallel and Intersecting Lines
- Chapter 6 Number Play
- Chapter 7 a Tale of Three Intersecting Lines
- Chapter 8 Working with Fractions
NCERT Solutions for Class 7 – All Subjects
Just like Chapter 1 of Maths, you can get the exercise questions with answers for every other subject of Class 7. Here are the NCERT Solutions for all subjects of Class 7.
NCERT Solutions for Class 7 Maths Chapter 1 – An Overview
The key highlights of this study material are as follows.
| Aspects | Details |
|---|---|
| Class | Class 7 |
| Subject | Maths |
| Chapter Number | Chapter 1 |
| Chapter Name | Large Numbers Around Us |
| Book Name | Ganita Prakash |
| Book By | NCERT (National Council of Educational Research and Training) |
| Educational Resource Here | NCERT Solutions of Class 7 Maths Chapter 1 for all exercises |
| More Questions Answers of This Subject | NCERT Solutions for Class 7 Maths |
| Download Book Chapter | NCERT Book Class 7 Maths |
| All Questions Answers For This Class | NCERT Solutions for Class 7 |
| Complete Solutions | NCERT Solutions |
NCERT Solutions for Class 7 Maths Chapter 1 Large Numbers Around Us – FAQs
What are the NCERT Solutions for Class 7 Maths Chapter 1 Large Numbers Around Us?
They are the complete, step-by-step answers to all the exercise and in-text questions of Chapter 1 Large Numbers Around Us from the NCERT Class 7 Maths textbook Ganita Prakash, written by experts as per the latest NCERT syllabus.
How can I download the Class 7 Maths Chapter 1 solutions PDF for free?
Open this page on aglasem, read the Large Numbers Around Us questions with answers, and click the “Download Solutions PDF” link. The Class 7 Maths Chapter 1 NCERT Solutions PDF is completely free to download.
Are these NCERT Solutions as per the latest 2026-27 syllabus?
Yes. The NCERT Solutions for Class 7 Maths Chapter 1 are based on the latest NCERT textbook Ganita Prakash and the current 2026-27 CBSE syllabus, so the questions and answers match what you study in class.
Where can I get NCERT Solutions for the other chapters of Class 7 Maths?
You can find the answers to every chapter on the NCERT Solutions for Class 7 Maths page, and solutions for every subject on the NCERT Solutions for Class 7 page.
How do NCERT Solutions help in exam preparation?
They show the correct method to solve each question, help you write answers the way they are expected in exams, let you check and correct your own work, and save revision time — which together improve your marks in Class 7 Maths.
If you have any queries on NCERT Solutions for Class 7 Maths Chapter 1 Large Numbers Around Us, then please ask in the comments below.
