Each of our Ganita Prakash Class 7 Worksheet and Class 7 Maths Chapter 1 Large Numbers Around Us Worksheet with Answers Pdf focuses on conceptual clarity.
Class 7 Maths Chapter 1 Large Numbers Around Us Worksheet with Answers Pdf
Large Numbers Around Us Class 7 Maths Worksheet
Class 7 Maths Chapter 1 Worksheet with Answers – Class 7 Large Numbers Around Us Worksheet
Tick (✓) for the correct option
Question 1.
The smallest 6-digit even number is
(a) 1, 00, 002
(b) 99,998
(c) 1,00,004
(d) 1,00,000
Question 2.
Which of the following is greater than 9,99,900?
(a) 9,98,999
(b) 9,99,907
(c) 9,98,984
(d) None of these
Question 3.
The population of a town is 1,06,570. How much more than 1,00,000 is the population of the town?
(a) 6,570
(b) 60,570
(c) 6,057
(d) None of these
Question 4.
The population of a city is 1 lakh less than 10 lakh. The population of the city is ________
(a) 9,00,999
(b) 9,09,000
(c) 9,00,000
(d) None of these
Question 5.
Which of the following does not represent 47600?
(a) 47 thousands 6 hundreds
(b) 40 thousands 76 hundreds
(c) 45 thousands 17 hundreds
(d) 476 hundreds
Question 6.
How many thousands make 2 lakh?
(a) 200
(6) 2000
(c) 20
(d) None of these
Question 7.
A calculator has a button of + 10 only. How many clicks are needed to represent 23800?
(a) 238
(b) 23800
(c) 2380
(d) None of these
Question 8.
A calculator has buttons of +1 and +10 only. What is the minimum number of clicks needed to represent 35?
(a) 35
(b) 8
(c) 24
(d) None of these
Question 9.
The numeral for thirty-five million, one thousand is
(a) 35,001,000
(b) 350,001,000
(c) 35,01,000
(d) 3,501,000
Question 10.
The number name for 12345000 in the Indian system is
(a) one crore twenty-three lakh forty-five thousand
(b) twelve crore three lakh forty-five thousand
(c) one hundred twenty-three lakh forty-five thousand
(d) None ofthe above
Question 11.
7020804050 can be written in American notation as
(a) 7,02,08,04,050
(b 70,208,040
(c) 70,20,80,40
(d) None of these
Question 12.
234578910 can be written in indian notation as
(a) 234,578,910
(b) 2,345,78,910
(c) 23,45,78,910
(d) 2,34,57,89,10
Question 13.
43,65,87,400 rounded to the nearest ten lakh is
(a) 44,00,00,000
(b) 43,70,00,000
(c) 40,00,00,000
(d) None of these
Question 14.
56,342,100 rounded to the nearest ten million is
(a) 5,000,000
(b) 60,000,000
(c) 50,000,000
(d) 56,000,000
Question 15.
Estimated value of 4,35,500 + 2,45,600 by rounding up to the nearest lakh is
(a) 8,00,000
(b) 7,00,000
(c) 6,80,000
(d) None of these
Question 16.
Estimated value of 12,85,00,000 – 4,45,25,000 by rounding up to the nearest crore is
(a) 7,00,00,000
(b) 9,00,00,000
(c) 8,20,00,000
(d) 8,00,00,000
Question 17.
How many thousands make a million?
(a) 1 lakh
(b) 10 lakh
(c) 1 crore
(d) 10 crore
Question 18.
One million is equal to ________ (NCERT Exemplar)
(a) 1000000
(b) 10000
(c) 100000
(d) 1000
Question 19.
The short name for number ‘13,78,425’ is
(a) 13 lakh 78 thousand 425
(b) Thirteen lakh seventy-eight thousand four hundred twenty-five
(c) One million 378 thousand four hundred twenty-five
(d) None of these
Question 20.
By using dot (•) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle? (NCERT Exemplar)
(a) 9
(b) 10
(c) 11
(d) 12
Assertion-Reason Questions
In questions 1 – 4, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Question 1.
Assertion (A): 2369758 can be written in the Indian system as 23,69,758.
Reason (R): In the Indian system, commas are placed to group the digits in a 3-2-2-2… pattern from right to left.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 2.
Assertion (A) : If I travel at 60 km per hour, I need to travel for 167 hours to cover 1,00,000 km.
Reason (R) : To find time we divide distance by time.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 3.
Assertion (A) : The sum of 6,90,300, and 6,98,500 is less than 14 lakh but more than 13 lakh.
Reason (R) : Any two numbers can he added.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 4.
Assertion (A) : The product of 725 and 196 may be a 6-digit number.
Reason (R) : The total number of digits in the two numbers is 6.
(а) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Fill in the blanks
1. The smallest 6-digit number with all digits different is ______.
2. 8054364 can be written using commas as ______.
3. 97,000 is ______ less than one lakh.
4. Fifty-seven lakh, thirty-nine thousand, four hundred two can be written in figures, using commas as ______.
5. A number is expressed using 2 thousands, 3 hundreds, and 4 ones. The number is ________.
6. 4900 can be expressed using ________ thousands and 19 hundreds.
7. A calculator has a button of +100 only. The button must be pressed ________ times to represent 38000.
8. A calculator has a button of +1000 only. The button must be pressed 300 times to represent ________.
9. To write one arab we write 1 followed by ________
10. The numeral for 9 arab 87 crore 65 lakhs 1 thousand and 234 is ________.
11. The numeral for one crore one lakh one thousand ten, written in the American system is ________
12. 8,45,52,75,500 can be written in words in the American system as ________
13. 71,258,236 rounded to the nearest million is ________
14. 31,96,20,231 rounded to the nearest crore is ________
15. 46,745 rounded up to the nearest thousand is ________.
16. 12,15,500 rounded down to the nearest lakh is ________
17. The product of a 6-digit number and a 4-digit number has at least ________ digits.
18. The product of a two 4-digit numbers has at most ________ digits.
19. Multiplying a number by 5 is same as multiplying by ________ and dividing by ________
20. Multiplying a number by 25 is same as multiplying by ________ and dividing by ________
Write (T) for true or (F) for false for the given statements
1. If we subtract 1 from the smallest 7-digit number, we get the largest 6-digit number.
2 The largest 6-digit number is 99,99,999.
3. 9,50,000 is 50,000 more than 10 lakh.
4. The height of one floor of a building is 3 m. The building has 7 floors. The height of the building is 21 m.
5. 37 thousands is the same as 370 hundreds.
6. 800 thousands is the same as 8 lakhs.
7. A calculator has a button for +100 only. To represent 5700 the button has to be pressed 57 times.
8. A calculator has buttons for + 10 and +100. To represent 1420 the button for + 10 has to be pressed 22 times and the button for +100 has to be pressed 11 times.
9. A hundred million will have 8 zeroes.
10. One billion is equal to one arab.
11. The cost of an apartment is ? 1 crore 45 lakh. This cost is more than 15 million.
12. The distance between the Earth and the sun is 152 million kilometers. This is a little less than 15 crore kilometers.
13. 4,27,660 + 3,45,900 will be more than 6 lakh but less than 7 lakh.
14. 9,54,200 – 5,55,700 will be more than 4 lakh.
15. 7,45,000 + 7,65,000 – 12,00,000 will be less than 4 lakh.
16. 15,25,000 + 16,35,450 – 25,00,450 will be less than 6 lakh.
17. 5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1
18. Estimated sum of 7826 and 12469 rounded off to hundred is 20,000.
19. The largest six digit telephone number that can be formed by using digits 5, 3, 4, 7, 0, 8 only once is 875403.
20. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760.
21. The number 85764 rounded off to nearest hundred is written as 85700.
22. The number 81652318 will be read as eighty one crore six lakh fifty two thousand three hundred eighteen.
23. 10 million = 1 crore
Match the following:
Match the numerals mentioned in Column I with the word form in Column II:
| Column I | Column II |
| (a) 2,35, 400 | (i) One lakh |
| (b) 2,25,420 | (ii) Ten thousand |
| (c) 10,000 | (iii) Two lakh twenty five thousand four hundred twenty |
| (d) 1,00,000 | (iv) Two lakh thirty five thousand four hundred |
Answer:
| Column I | Column II |
| (a) 2,35, 400 | |
| (b) 2,25,420 | |
| (c) 10,000 | |
| (d) 1,00,000 |
Very Short Answer Type Questions
Question 1.
Write 2,35,400 in words.
Solution:
______________________________________
______________________________________
Question 2.
Write the number which is five lakh thirty thousand more than ten lakh.
Solution:
______________________________________
______________________________________
Question 3.
If one lakh = 1,00,000, then how many zeroes does ten lakh have?
Solution:
______________________________________
______________________________________
Question 4.
How many thousands make a lakh?
Solution:
______________________________________
______________________________________
Question 5.
Write the largest 6-digit number.
Solution:
______________________________________
______________________________________
Question 6.
If a computer processes 1,000 files per minute, can it process 1 crore files in a day?
Solution:
______________________________________
______________________________________
Question 7.
If a person drinks 3 litres of water daily, can he drink 1000 litres in a year?
Solution:
______________________________________
______________________________________
Question 8.
If a tap fills 600 litres of water every hour, can it fill a 1,00,000-litre tank in a day?
Solution:
______________________________________
______________________________________
Question 9.
How many thousands make a crore?
Solution:
______________________________________
______________________________________
Question 10.
How many zeroes does a thousand lakh have?
Solution:
______________________________________
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Question 11.
Write 67800876 in Indian place value notation.
Solution:
______________________________________
______________________________________
Question 12.
Write 3020406070 in American place value notation.
Solution:
______________________________________
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Question 13.
Estimate 1,45,200 + 2,35,700 by rounding to nearest thousand.
Solution:
______________________________________
______________________________________
Question 14.
Estimate 12,75,900 – 9,85,900 by rounding to nearest ten-thousand.
Solution:
______________________________________
______________________________________
Question 15.
Write a 6-digit number which gives the same result when rounded to nearest thousand or ten-thousand.
Solution:
______________________________________
______________________________________
Question 16.
Write two 6-digit numbers whose difference rounded to the nearest thousand is 50,000.
Solution:
______________________________________
______________________________________
Question 17.
The distance between Delhi and Mumbai by road is 1,400 km. I travel by car at an average speed of 50 km per hour. How many hours of driving will it take to complete the journey?
Solution:
______________________________________
______________________________________
Question 18.
The population of my city is 45 lakh. A bus can carry 50 passengers. How many buses are needed to carry the entire population at the same time?
Solution:
______________________________________
______________________________________
Question 19.
If a rocket travels 1,000 km every day, how many years will it take to reach the sun.
Solution:
______________________________________
______________________________________
Short Answer Type Questions
Question 1.
How many days are there approximately in 100 years (ignoring leap years)?
Solution:
______________________________________
______________________________________
Question 2.
If Esha eats 2 varieties of mango every day for 1000 years, how many varieties will she try (ignoring leap years)?
Solution:
______________________________________
______________________________________
Question 3.
If Pooja eats 3 varieties of rice every day for 100 years, how many varieties will she try (ignoring leap years)?
Solution:
______________________________________
______________________________________
Question 4.
A calculator has buttons for +1, +10, and + 100. Give two ways in which you can represent 235.
Solution:
______________________________________
______________________________________
Question 5.
A calculator has buttons for +10, +100, and +1000. Give two ways in which you can represent 3642.
Solution:
______________________________________
______________________________________
Question 6.
A calculator has buttons for +1 and +10. What is the minimum number of clicks needed to represent the largest two-digit number?
Solution:
______________________________________
______________________________________
Question 7.
A calculator has buttons for +1, +10 and +100. What is the maximum number of clicks needed to represent the largest three-digit number?
Solution:
______________________________________
______________________________________
Question 8.
Compare 62 crores and half a billion.
Solution:
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Question 9.
Write the numbers given below in both the Indian as well as the International systems:
(a) 4735108
(b) 924860
Solution:
______________________________________
______________________________________
Question 10.
Find using a short-cut: 242 x 5
Solution:
_______________________
_______________________
Question 11.
Find using a short-cut: 484 x 25
Solution:
_______________________
_______________________
Question 12.
Give an example to show a 3-digit number × 3-digit number = 5-digit number
Solution:
_______________________
_______________________
Question 13.
Give an example to show a 2-digit number × 4-digit number = 6-digit number
Solution:
_______________________
_______________________
Question 14.
Complete the following number pattern:
(a) 7 × 2 = ________
77 × 2 = ________
777 × 2 = ________
7777 × 2 = ________
77777 × 2 = ________
777777 × 2 = ________
(6) 33 × 31 = ________
333 × 331 = ________
3333 × 3331 = ________
33333 × 33331 = ________
Solution:
_______________________
_______________________
Question 15.
If a single sheet of paper weighs 2 grams, could you lift ten thousand sheets of paper together at the same time?
Solution:
_______________________
_______________________
Question 16.
If 250 babies are born every minute across the world, will a million babies be born in a day?
Solution:
_______________________
_______________________
Question 17.
Can you count 10,000 coins in a day? Assume you can count 10 coins every minute.
Solution:
_______________________
_______________________
Question 18.
Of the following numbers which is the greatest? Which is the smallest?
38051425, 30040700, 67205602 (NCERT Exemplar)
Solution:
_______________________________________
_______________________________________
Question 19.
Make necessary reasonable assumptions and answer the following questions:
(a) If a bus covers 500 kilometres every day, can it travel 1 lakh kilometres in 6 months?
Solution:
_______________________________________
_______________________________________
(b) If a book weighs 200 g, could a person carry 500 books at once?
Solution:
_______________________________________
_______________________________________
Question 20.
Obtain the closest of the following numbers by using any operation on the values given in the box.
(a) 12020
Solution:
_______________________________________
_______________________________________
(6) 68650
Solution:
_______________________________________
_______________________________________
(c) 92480
Solution:
_______________________________________
_______________________________________
Case Based Questions
I. Creative Chitti is a fun calculator that can press multiple buttons like +1, +10, +100, +1000, and so on. It wants to find different ways to form large numbers using fewest clicks or most creative combinations. For example, to form 5072, it might use (50 × 100) + (7 × 10) + (2 × 1) or even (3 × 1000) + (20 × 100) + (72 × 1).
Question 1.
What is the smallest number of button clicks to make 10,000 using a +1000 button?
(a) 100
(b) 10
(c) 1
(d) 1000
Question 2.
How many zeroes does the number “1 crore” have in the Indian number system?
(a) 5
(b) 6
(c) 7
(d) 8
Question 3.
What is the American system equivalent of 1 crore?
(a) 10 million
(b) 1 billion
(c) 100 thousand
(d) 1 million
Question 4.
Which of the following is not a valid combination to get 5072?
(а) (5 × 1000) + (0 × 100) + (7 × 10) + (2 × 1)
(б) (500 × 10) + (7 × 10) + (2 × 1)
(c) (3 × 1000) + (20 × 100) + (72 × 1)
(d) (507 × 10) + (2 × 1)
II. Mr. Kamal purchased a house for ₹ 1,85,35,700. He spent ₹ 4,47,960 for repairs and painting. He also purchased a car for ₹ 15,35,456. He gave ₹ 45,802 for charity.
(i) Nearly how many crore rupees were spent on purchasing the house?
(it) Give the cost of the car, rounded up to the nearest lakh.
(iii) Check if the total cost of the house (including repairs) is more than 1 crore 90 lakh.
(iv) Check if the amount spent on charity and repairs together is less than 5 lakh.
Solution:
_______________________________________
_______________________________________
_______________________________________
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III. The population of India in the beginning of 2025 was around 1461163352. Year by year, there has been an explosion of population, which is making it difficult to provide resources to every person living in the country. Taking the right measures and keeping the resources in mind will help to control the population. The population of four cities A, B, C and D are 79836275, 67364212, 48936778 and 98796040, respectively.
Based on the above discussion, answer the following questions:
Question 1.
Write the population of India in Indian system of numeration.
Solution:
_______________________________________
_______________________________________
Question 2.
Write the population of city D in the International system.
Solution:
_______________________________________
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Question 3.
What is the total population of city A and city B?
Solution:
_______________________________________
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Question 4.
What is the difference in the population of city C and city D?
Solution:
_______________________________________
_______________________________________
Question 5.
Write the estimated population of city B to the nearest ten thousand.
Solution:
_______________________________________
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Crossword Puzzle
Complete the crossword puzzle using the given directions: Directions:
Across:
2. Largest 6-digit number
5. Four arab five crores six lakh seven hundred eighty
6. 80 crore 70 lakh 60 thousand 50
Down:
1. 38 lakh 97 thousand 420
3. (9 × 1000000) + (3 × 100000) + (4 × 1000) + (30 × 1)
4. (5 × 10000) + (6 × 1000) + (3 × 100) + (54 × 1)
