CBSE Important Questions Class 7 Maths Chapter 1 Large Numbers Around Us

Large numbers help us describe populations, distances, heights, money, measurements and real-world quantities. In India, numbers are grouped as thousands, lakhs, crores and arabs using the Indian place value system.

Large numbers become confusing when students only count zeroes and ignore place-value groups. CBSE Important Questions Class 7 Maths Chapter 1 helps students prepare Large Numbers Around Us from the 2026 NCERT Ganita Prakash syllabus through lakhs, crores, millions, billions, rounding, estimation, button-click expressions, city populations and product patterns. The chapter expects students to read big numbers correctly, compare Indian and American systems, estimate real quantities and simplify multiplication. NCERT introduces large numbers through real examples such as rice varieties, populations, statues, waterfalls and distances.

Key Takeaways

• 1 Lakh: 1,00,000 has five zeroes and equals one hundred thousand.
• 1 Crore: 1,00,00,000 has seven zeroes and equals ten million.
• Indian System: Commas follow the 3-2-2 pattern from right to left.
• Approximation: Rounded values help compare large quantities when exact counts are unnecessary.

CBSE Important Questions Class 7 Maths Chapter 1 Structure 2026

Class 7 Maths Chapter 1 Important Questions with Answers

Students lose marks in this chapter when they write correct digits but wrong commas or number names. These class 7 maths chapter 1 important questions focus on the exact place-value habits needed for CBSE 2026.

1. What is one lakh?

One lakh is 1,00,000.

1. The largest 5-digit number is 99,999.
2. Add 1 to 99,999.
3. The result is 1,00,000.

Final Answer: 1 lakh = 1,00,000

2. How many zeroes are there in one lakh?

One lakh has five zeroes.

1. One lakh is written as 1,00,000.
2. Count the zeroes after 1.
3. There are five zeroes.

Final Answer: 5 zeroes

3. How much less than one lakh is 75,000?

75,000 is 25,000 less than one lakh.

1. One lakh = 1,00,000.
2. Subtract 75,000 from 1,00,000.
3. 1,00,000 − 75,000 = 25,000.

Final Answer: 25,000

4. How much more than one lakh is 1,06,000?

1,06,000 is 6,000 more than one lakh.

1. One lakh = 1,00,000.
2. Subtract 1,00,000 from 1,06,000.
3. 1,06,000 − 1,00,000 = 6,000.

Final Answer: 6,000

5. By how much did Chintamani’s population increase from 75,000 to 1,06,000?

The population increased by 31,000.

1. Population in 2011 = 75,000.
2. Population in 2024 = 1,06,000.
3. Increase = 1,06,000 − 75,000.

Calculation:
1,06,000 − 75,000 = 31,000

Final Answer: 31,000

6. If someone eats one rice variety every day, can they taste one lakh varieties in 100 years?

No, they cannot taste one lakh varieties in 100 years.

1. Days in 100 years ≈ 365 × 100.
2. 365 × 100 = 36,500.
3. 36,500 is much less than 1,00,000.

Final Answer: No, they can taste about 36,500 varieties

Class 7 Maths Chapter 1 Large Numbers Around Us Questions

Large-number questions become easier when students compare unknown quantities with familiar ones. The chapter uses heights, populations and lifetimes to build this sense.

7. Is one lakh always a very large number?

One lakh can feel large or small depending on the context.

1. One lakh days means about 274 years.
2. One lakh people can fill a large stadium.
3. One lakh hairs can fit on a human head.

Final Answer: One lakh depends on the situation.

8. How many days are there in 100 years if leap years are ignored?

There are 36,500 days in 100 years.

1. One year has 365 days.
2. Multiply 365 by 100.
3. 365 × 100 = 36,500.

Final Answer: 36,500 days

9. How many years are close to one lakh days?

One lakh days is close to 274 years.

1. One year has about 365 days.
2. Divide 1,00,000 by 365.
3. 1,00,000 ÷ 365 ≈ 274.

Final Answer: About 274 years

10. If Somu’s building is 40 m tall, how much taller is the Statue of Unity at about 180 m?

The Statue of Unity is about 140 m taller.

1. Statue height = 180 m.
2. Building height = 40 m.
3. Difference = 180 − 40.

Final Answer: 140 m

11. If Kunchikal waterfall is about 450 m high, how much taller is it than a 40 m building?

Kunchikal waterfall is about 410 m taller.

1. Waterfall height = 450 m.
2. Building height = 40 m.
3. 450 − 40 = 410.

Final Answer: 410 m

12. How many floors of height 4 m make a building about 450 m tall?

About 113 floors are needed.

1. Height of one floor = 4 m.
2. Required height = 450 m.
3. 450 ÷ 4 = 112.5.

Final Answer: About 113 floors

Indian Place Value System Class 7 Questions

The Indian system becomes simple when students read numbers in groups: ones, thousands, lakhs, crores and arabs. These Indian place value system class 7 questions train correct comma placement and number names.

13. How are commas placed in the Indian place value system?

Commas are placed in a 3-2-2 pattern from right to left.

1. The first comma comes after three digits.
2. Later commas come after every two digits.
3. This creates groups for thousands, lakhs and crores.

Final Answer: Indian commas follow the 3-2-2 pattern.

14. Write 3,00,600 in words.

3,00,600 is written as three lakh six hundred.

1. 3 is in the lakh place.
2. 600 is in the hundreds group.
3. There is no thousands value.

Final Answer: Three lakh six hundred

15. Write 5,04,085 in words.

5,04,085 is written as five lakh four thousand eighty five.

1. 5 is in the lakh place.
2. 04 gives four thousand.
3. 085 gives eighty five.

Final Answer: Five lakh four thousand eighty five

16. Write 27,30,000 in words.

27,30,000 is written as twenty seven lakh thirty thousand.

1. 27 is in the lakh group.
2. 30 is in the thousand group.
3. The last three digits are zero.

Final Answer: Twenty seven lakh thirty thousand

17. Write 70,53,138 in words.

70,53,138 is written as seventy lakh fifty three thousand one hundred thirty eight.

1. 70 is in the lakh group.
2. 53 is in the thousand group.
3. 138 is in the ones group.

Final Answer: Seventy lakh fifty three thousand one hundred thirty eight

18. Write one lakh twenty three thousand four hundred fifty six in numerals.

The numeral is 1,23,456.

1. One lakh gives 1,00,000.
2. Twenty three thousand gives 23,000.
3. Add 456.

Final Answer: 1,23,456

19. Write fifty lakhs five thousand fifty in numerals.

The numeral is 50,05,050.

1. Fifty lakhs gives 50,00,000.
2. Five thousand gives 5,000.
3. Fifty gives 50.

Final Answer: 50,05,050

Lakh Crore Million Billion Class 7 Questions

Students often mix Indian and American systems because both use commas differently. The NCERT chapter explains that Indian commas follow 3-2-2, while American commas follow 3-3-3.

20. What is one crore?

One crore is 1,00,00,000.

1. One crore has seven zeroes.
2. It equals 100 lakhs.
3. It also equals 10 million.

Final Answer: 1 crore = 1,00,00,000

21. How many zeroes are there in one crore?

One crore has seven zeroes.

1. One crore is written as 1,00,00,000.
2. Count the zeroes after 1.
3. There are seven zeroes.

Final Answer: 7 zeroes

22. How many lakhs make one crore?

100 lakhs make one crore.

1. 1 lakh = 1,00,000.
2. 100 lakhs = 100 × 1,00,000.
3. That equals 1,00,00,000.

Final Answer: 100 lakhs

23. How many lakhs make one billion?

10,000 lakhs make one billion.

1. One billion = 1,000,000,000.
2. One lakh = 100,000.
3. 1,000,000,000 ÷ 100,000 = 10,000.

Final Answer: 10,000 lakhs

24. Compare 30 thousand and 3 lakhs.

30 thousand is less than 3 lakhs.

1. 30 thousand = 30,000.
2. 3 lakhs = 3,00,000.
3. 30,000 < 3,00,000.

Final Answer: 30 thousand < 3 lakhs

25. Compare 500 lakhs and 5 million.

500 lakhs is greater than 5 million.

1. 500 lakhs = 5,00,00,000.
2. 5 million = 50,00,000.
3. 5,00,00,000 > 50,00,000.

Final Answer: 500 lakhs > 5 million

26. Compare 640 crore and 60 billion.

640 crore is less than 60 billion.

1. 640 crore = 6.4 billion.
2. 60 billion is much larger.
3. Therefore, 640 crore < 60 billion.

Final Answer: 640 crore < 60 billion

American Place Value System Class 7 Questions

American place value groups digits uniformly in threes. Students should convert carefully between lakhs-crores and millions-billions.

27. What is the American place value system?

The American place value system groups digits in threes from right to left.

1. The groups are ones, thousands, millions and billions.
2. Commas follow the 3-3-3 pattern.
3. 1,000,000 is read as one million.

Final Answer: American commas follow the 3-3-3 pattern.

28. Write 40,50,678 in the American system.

40,50,678 becomes 4,050,678 in the American system.

1. Write the number without Indian commas.
2. Place commas after every three digits from the right.
3. Read it as 4 million 50 thousand 678.

Final Answer: 4,050,678

29. Write 4,81,21,620 in the American system.

4,81,21,620 becomes 48,121,620 in the American system.

1. Remove Indian commas.
2. Regroup as 48,121,620.
3. Read it as forty eight million one hundred twenty one thousand six hundred twenty.

Final Answer: 48,121,620

30. Write 1,02,03,04,050 in the American system.

1,02,03,04,050 becomes 1,020,304,050 in the American system.

1. The Indian grouping shows arab, crore and lakh.
2. American grouping uses billions and millions.
3. The same digits get regrouped.

Final Answer: 1,020,304,050

31. Write one billion one million one thousand one in Indian notation.

The number is 1,00,10,01,001.

1. One billion = 1,000,000,000.
2. Add one million, one thousand and one.
3. Write the result in Indian comma grouping.

Final Answer: 1,00,10,01,001

32. Write nine billion eighty million seven hundred thousand six hundred in Indian notation.

The number is 9,08,07,00,600.

1. Nine billion = 9,000,000,000.
2. Add eighty million and seven hundred thousand.
3. Add six hundred and place Indian commas.

Final Answer: 9,08,07,00,600

Place Value Notation Class 7 and Button-Click Questions

The calculator activities test whether students understand place value beyond reading number names. Fewer button clicks usually come from using the largest possible place-value buttons.

33. How many thousands make one lakh?

100 thousands make one lakh.

1. One thousand = 1,000.
2. One lakh = 1,00,000.
3. 1,00,000 ÷ 1,000 = 100.

Final Answer: 100

34. How many tens make one lakh?

10,000 tens make one lakh.

1. One ten = 10.
2. One lakh = 1,00,000.
3. 1,00,000 ÷ 10 = 10,000.

Final Answer: 10,000

35. How many hundreds make one lakh?

1000 hundreds make one lakh.

1. One hundred = 100.
2. One lakh = 1,00,000.
3. 1,00,000 ÷ 100 = 1000.

Final Answer: 1000

36. Write 8300 using button clicks in two ways.

8300 can be written in more than one button-click expression.

1. First way: (8 × 1000) + (3 × 100).
2. Second way: (5 × 1000) + (33 × 100).
3. Both expressions give 8300.

Final Answer: (8 × 1000) + (3 × 100) and (5 × 1000) + (33 × 100)

37. Write 40629 using minimum button clicks.

40629 needs 21 minimum button clicks.

1. 40629 = (4 × 10000) + (6 × 100) + (2 × 10) + (9 × 1).
2. Count clicks: 4 + 6 + 2 + 9.
3. Total clicks = 21.

Final Answer: 21 clicks

38. Write 66666 using minimum button clicks.

66666 needs 30 minimum button clicks.

1. 66666 = (6 × 10000) + (6 × 1000) + (6 × 100) + (6 × 10) + (6 × 1).
2. Add the digit counts.
3. 6 + 6 + 6 + 6 + 6 = 30.

Final Answer: 30 clicks

39. What is the connection between minimum button clicks and digits?

The minimum number of button clicks equals the sum of the digits.

1. Use the correct place-value button for each digit.
2. Each digit tells how many times to press that button.
3. Adding the digits gives the total clicks.

Final Answer: Minimum clicks = digit sum.

40. How can 5072 be made using the fewest clicks?

5072 can be made in 14 clicks.

1. 5072 = (5 × 1000) + (7 × 10) + (2 × 1).
2. Number of clicks = 5 + 7 + 2.
3. Total clicks = 14.

Final Answer: 14 clicks

Exact and Approximate Values Class 7 Questions

Approximation is not random rounding. Students must choose whether to round up, round down or keep the exact value based on the situation.

41. When should we use exact values?

We should use exact values when accuracy is necessary.

1. Bank transactions need exact values.
2. Phone numbers cannot be rounded.
3. Exam marks also need exact records.

Final Answer: Exact values are needed for precise records.

42. When is rounding up useful?

Rounding up is useful when we must avoid shortage.

1. A principal may order 750 sweets for 732 people.
2. Ordering 700 would not be enough.
3. Rounding up gives a safer quantity.

Final Answer: Round up when shortage creates a problem.

43. When is rounding down useful?

Rounding down is useful when giving a lower approximate estimate is acceptable.

1. A shopkeeper may say ₹470 is around ₹450.
2. It gives a nearby lower amount.
3. This works in casual estimation.

Final Answer: Round down when a lower estimate suits the context.

44. What is the nearest thousand of 3,87,69,957?

The nearest thousand is 3,87,70,000.

1. Look at the hundreds part.
2. 957 is closer to 1000 than 0.
3. Round the number up to the next thousand.

Final Answer: 3,87,70,000

45. What is the nearest lakh of 3,87,69,957?

The nearest lakh is 3,88,00,000.

1. The number lies between 3,87,00,000 and 3,88,00,000.
2. It is closer to 3,88,00,000.
3. Therefore, round up.

Final Answer: 3,88,00,000

46. What is the nearest crore of 29,05,32,481?

The nearest crore is 29,00,00,000.

1. The number is close to 29 crore.
2. It is much below 29.5 crore.
3. So, it rounds to 29 crore.

Final Answer: 29,00,00,000

Large Number Estimation Class 7 Word Problems

Estimation questions in this chapter are designed to test reasoning, not exact arithmetic alone. Students should write assumptions clearly before multiplying or dividing.

47. Estimate whether one lakh sheets of paper can be lifted together if one sheet weighs 5 g.

No, one lakh sheets cannot be lifted together by one person.

1. Weight of one sheet = 5 g.
2. Weight of 1,00,000 sheets = 5 × 1,00,000 g.
3. This equals 5,00,000 g = 500 kg.

Final Answer: No, the weight is about 500 kg

48. If 250 babies are born every minute, will one million babies be born in a day?

No, one million babies will not be born in a day.

1. Minutes in a day = 24 × 60 = 1440.
2. Babies born = 250 × 1440.
3. 250 × 1440 = 3,60,000.

Final Answer: No, about 3,60,000 babies

49. Can you count one million coins in a day if you count one coin each second?

No, you cannot count one million coins in a day.

1. Seconds in a day = 24 × 60 × 60.
2. This equals 86,400 seconds.
3. You can count only 86,400 coins in one day.

Final Answer: No, only 86,400 coins

50. Can someone reach the Moon in 10 years by travelling 100 km every day?

No, they cannot reach the Moon in 10 years at 100 km per day.

1. Distance travelled in 10 years = 100 × 365 × 10.
2. This equals 3,65,000 km.
3. The Moon is about 3,84,400 km away.

Final Answer: No, they fall short by about 19,400 km

51. How many coins of 1 mm thickness match the height of the Statue of Unity?

1,80,000 coins are needed.

1. Statue height = 180 m.
2. 180 m = 1,80,000 mm.
3. One coin thickness = 1 mm.

Final Answer: 1,80,000 coins

52. How far does a bar-tailed godwit travel per day if it covers 13,560 km in 11 days?

It travels about 1233 km per day.

1. Total distance = 13,560 km.
2. Time = 11 days.
3. 13,560 ÷ 11 ≈ 1233.

Final Answer: About 1233 km per day

Rounding Off Large Numbers Class 7 and City Population Questions

Population tables train students to compare lakhs and crores in real Indian contexts. Approximation helps answer quickly when exact values are not required.

53. What was Pune’s population in 2011?

Pune’s population in 2011 was 31,15,431.

1. Read the value from the 2011 population table.
2. It is a 7-digit number.
3. In words, it is about thirty one lakh.

Final Answer: 31,15,431

54. Approximately how much did Pune’s population increase from 2001 to 2011?

Pune’s population increased by about 6 lakh.

1. 2011 population = 31,15,431.
2. 2001 population = 25,38,473.
3. Difference is about 5.77 lakh.

Final Answer: About 6 lakh

55. Which city’s population increased the most between 2001 and 2011?

Bengaluru’s population increased the most.

1. Bengaluru in 2011 = 84,25,970.
2. Bengaluru in 2001 = 43,01,326.
3. Increase = 41,24,644.

Final Answer: Bengaluru

56. Which cities almost doubled in population between 2001 and 2011?

Bengaluru, Hyderabad, Surat and Vadodara almost doubled.

1. Each city shows a large rise from 2001.
2. Their 2011 populations are close to twice their 2001 values.
3. This can be seen by approximate comparison.

Final Answer: Bengaluru, Hyderabad, Surat and Vadodara

57. By what number should Patna’s population be multiplied to get close to Mumbai’s population?

Patna’s population should be multiplied by about 7.4.

1. Mumbai population ≈ 1,24,42,373.
2. Patna population ≈ 16,84,222.
3. 1,24,42,373 ÷ 16,84,222 ≈ 7.4.

Final Answer: About 7.4

Multiplication Shortcuts Class 7 Questions

Multiplication shortcuts work when students rewrite numbers like 5, 25 and 125 using 10, 100 and 1000. This reduces difficult products to halving, quartering or dividing by 8.

58. Why is multiplying by 5 the same as multiplying by 10 and dividing by 2?

Multiplying by 5 is the same because 5 = 10 ÷ 2.

1. 116 × 5 = 116 × (10 ÷ 2).
2. First halve 116 to get 58.
3. Then multiply by 10.

Calculation:
116 × 5 = 58 × 10 = 580

Final Answer: 580

59. Calculate 2 × 1768 × 50 quickly.

The product is 1,76,800.

1. Group 2 and 50.
2. 2 × 50 = 100.
3. 100 × 1768 = 1,76,800.

Final Answer: 1,76,800

60. Calculate 72 × 125 quickly.

The product is 9000.

1. 125 = 1000 ÷ 8.
2. 72 ÷ 8 = 9.
3. 9 × 1000 = 9000.

Final Answer: 9000

61. Calculate 125 × 40 × 8 × 25 quickly.

The product is 10,00,000.

1. Group 125 × 8 = 1000.
2. Group 40 × 25 = 1000.
3. 1000 × 1000 = 10,00,000.

Final Answer: 10,00,000

62. Calculate 25 × 240 quickly.

The product is 6000.

1. 25 = 100 ÷ 4.
2. 240 ÷ 4 = 60.
3. 60 × 100 = 6000.

Final Answer: 6000

Patterns in Products Class 7 Important Questions

Product length questions help students avoid unnecessary multiplication. The trick is to compare the smallest and largest possible products.

63. Can the product of two 2-digit numbers be only 3-digit or 4-digit?

Yes, the product of two 2-digit numbers is always 3-digit or 4-digit.

1. Smallest product = 10 × 10 = 100.
2. Largest product = 99 × 99 = 9801.
3. So, the product has 3 or 4 digits.

Final Answer: Yes

64. Can multiplying a 3-digit number by another 3-digit number give a 4-digit number?

No, multiplying two 3-digit numbers cannot give a 4-digit number.

1. Smallest 3-digit number = 100.
2. 100 × 100 = 10,000.
3. 10,000 is a 5-digit number.

Final Answer: No

65. Can multiplying a 4-digit number by a 2-digit number give a 5-digit number?

Yes, multiplying a 4-digit number by a 2-digit number can give a 5-digit number.

1. Example: 1000 × 10 = 10,000.
2. 10,000 has 5 digits.
3. Other examples are also possible.

Final Answer: Yes

66. How many digits can a product of 5-digit and 5-digit numbers have?

The product can have 9 or 10 digits.

1. Smallest case: 10000 × 10000 = 100000000.
2. This has 9 digits.
3. Largest case gives a number below 10,000,000,000.

Final Answer: 9 or 10 digits

67. How many digits can a product of 8-digit and 3-digit numbers have?

The product can have 10 or 11 digits.

1. Minimum digit count is 8 + 3 − 1.
2. Maximum digit count is 8 + 3.
3. So, the product has 10 or 11 digits.

Final Answer: 10 or 11 digits

68. How many digits can a product of 12-digit and 13-digit numbers have?

The product can have 24 or 25 digits.

1. Minimum digit count = 12 + 13 − 1.
2. Maximum digit count = 12 + 13.
3. So, the answer is 24 or 25 digits.

Final Answer: 24 or 25 digits

Class 7 Maths Chapter 1 Extra Questions for CBSE Practice

These class 7 maths chapter 1 extra questions match the CBSE 2026 pattern through place value, approximation, operations and real-world number sense.

69. Write the largest 10-digit multiple of 5 using digits 0 to 9 exactly once.

The largest 10-digit multiple of 5 is 9876543210.

1. A multiple of 5 must end in 0 or 5.
2. To make the largest number, keep 0 at the end.
3. Arrange remaining digits in descending order.

Final Answer: 9876543210

70. Write the smallest even 10-digit number using digits 0 to 9 exactly once.

The smallest even number is 1023456798.

1. The first digit cannot be 0.
2. Start with 1, then use 0.
3. Use the smallest possible order and end with an even digit.

Final Answer: 1023456798

71. How many lakhs are there in 1 arab?

There are 10,000 lakhs in 1 arab.

1. 1 arab = 1,00,00,00,000.
2. 1 lakh = 1,00,000.
3. Divide arab by lakh.

Calculation:
1,00,00,00,000 ÷ 1,00,000 = 10,000

Final Answer: 10,000 lakhs

72. Write 20,800 using only +10,000 and +100 buttons.

20,800 = (2 × 10,000) + (8 × 100).

1. Two clicks of +10,000 give 20,000.
2. Eight clicks of +100 give 800.
3. Total = 20,800.

Final Answer: 10 clicks

73. Write 1,20,500 using only +10,000 and +100 buttons.

1,20,500 = (12 × 10,000) + (5 × 100).

1. Twelve clicks of +10,000 give 1,20,000.
2. Five clicks of +100 give 500.
3. Total = 1,20,500.

Final Answer: 17 clicks

74. How many buses are needed for 50 lakh people if one bus holds 50 people?

1 lakh buses are needed.

1. People per bus = 50.
2. Total people = 50 lakh = 50,00,000.
3. 50,00,000 ÷ 50 = 1,00,000.

Final Answer: 1 lakh buses

75. Can Mumbai’s population of more than 1 crore fit in 1 lakh buses of 50 people each?

No, more than 1 crore people cannot fit in 1 lakh buses.

1. 1 lakh buses hold 50 lakh people.
2. Mumbai’s population is more than 1 crore.
3. 50 lakh is less than 1 crore.

Final Answer: No

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