Large Numbers Around Us Class 7 Maths Worksheet with Answers Chapter 1

Ganita Prakash Part-I, Grade 7, NCERT Textbook of Mathematics – This is the first chapter of Ganita Prakash Part-I. Chapter 1 is “Large Numbers Around Us”. This chapter is about the big numbers we see around us every day – like the population of a city or the distance to the Sun. In this Class 7 Maths chapter, you will learn to read, write, and compare large numbers. You will also learn the Indian and the International (American) number systems, rounding, estimation, and some quick multiplication tricks.

In the worksheet below, we will cover all the important topics of this chapter. Below are the top ones –

• Reading and writing large numbers
• Indian number system – lakhs, crores, and arabs
• International (American) system – millions and billions
• Placing commas correctly in both systems
• Rounding numbers up and down
• Finding the nearest thousand, lakh, and crore
• Estimating sums and differences
• Number of digits in a product
• Quick ways to multiply by 5, 25, and 125

Before you start, keep these important points in mind –

• 1 lakh = 1,00,000 (1 followed by 5 zeros)
• 10 lakh = 1 million = 10,00,000 (1 followed by 6 zeros)
• 1 crore = 100 lakh = 1,00,00,000 (1 followed by 7 zeros)
• 1 arab = 1 billion = 100 crore = 1,00,00,00,000 (1 followed by 9 zeros)
• Indian system: place commas in a 3-2-2 pattern from the right (thousand, lakh, crore)
• International system: place commas in a 3-3-3 pattern from the right (thousand, million, billion)
• To multiply by 5: divide by 2, then multiply by 10
• To multiply by 25: divide by 4, then multiply by 100
• To multiply by 125: divide by 8, then multiply by 1000
• Digits in a product: multiply an m-digit number by an n-digit number, and the answer has either (m + n) digits or (m + n − 1) digits

The entire worksheet is divided into 4 parts – Basic, Standard, Advanced, and HOTS. The answers are given after the 24 questions in this worksheet.

Class 7 Maths Worksheet – Chapter 1: Large Numbers Around Us

Basic

1. Write the following numbers in words using the Indian place value system:
   • 4,05,060
   • 12,34,500
   • 3,00,07,008
2. Write the following in numerals using commas correctly:
   • Seven lakh eight thousand forty two
   • Twenty three lakh five hundred six
   • Five crore two lakh ten thousand nine
3. Fill in the blanks:
   • 1 lakh = ______ thousands
   • 1 crore = ______ lakhs
   • 10 lakhs = ______ crore
   • 1 million = ______ lakhs
4. A calculator has only a +1000 button. How many times must it be pressed to show:
   • 18,000
   • 75,000
   • 1,00,000
5. Write each number in expanded form:
   • 56,304
   • 4,08,072
   • 2,34,05,006
6. Arrange the following numbers in ascending order:
   • 9,99,999
   • 10,00,000
   • 99,999
   • 1,00,00,000

Standard

1. Put commas in the correct places according to both systems and write the number names:
   • 4567890
   • 25004006

   Write each in the Indian system and the International system.

2. Compare and write <, > or =:
   • 45 lakhs ______ 4.5 million
   • 8 crore ______ 80 million
   • 750 thousand ______ 7 lakhs
   • 2 billion ______ 200 crore
3. Find the nearest:
   • Thousand to 58,76,451
   • Ten thousand to 58,76,451
   • Lakh to 58,76,451
4. Estimate first and then find the exact answer:
   • 32,45,678 + 15,89,567
   • 75,00,000 − 18,75,450
5. A school library has 48,750 books. It receives 7,825 new books and gives away 2,460 old books.
   How many books are there in the library now?
6. Find quick ways to calculate:
   • 125 × 48 × 25
   • 2 × 3,465 × 50
   • 72 × 125

Advance

1. The population of a town was 8,75,420 in 2011 and 10,26,875 in 2021.
   Find:
   • The increase in population
   • The approximate increase to the nearest lakh
2. A stadium has a seating capacity of 1,25,000 people. During a cricket match, 75% of the seats are filled.
   How many people are watching the match?
3. A bus can carry 52 passengers. Can 75,000 people travel in 1,200 such buses at one time?
   If not, how many more buses are needed?
4. A student travels 120 km every day. The distance from Earth to the Moon is about 3,84,400 km.
   Find:
   • The distance travelled in 1 year, taking 365 days in a year
   • The distance travelled in 10 years
   • Whether the student can cover the Earth-Moon distance in 10 years
5. A number is made using the buttons +1, +10, +100, +1000 and +10,000.
   Find the least number of button presses needed to make 72,405.
6. Find the number of digits in the product without multiplying fully:
   • 87 × 95
   • 999 × 999
   • 4,500 × 68

HOTS

1. Using all digits from 0 to 9 exactly once, form:
   • The largest 10-digit number divisible by 5
   • The smallest 10-digit even number
2. A calculator has only +10,000 and +100 buttons.
   Can it show each of the following numbers? Give a reason.
   • 62,300
   • 91,600
   • 1,20,750
3. Riya says, “The product of any two 3-digit numbers must have either 5 digits or 6 digits.”
   Is she correct? Give examples to support your answer.
4. A number has the same nearest thousand, nearest ten thousand, nearest lakh, nearest ten lakh and nearest crore: 5,00,00,000.
   Write one possible number. Can there be more than one such number?
5. A website receives 9,98,750 views in one month. The owner says, “The website received 10 lakh views.”
   Is this statement reasonable? Explain using approximation.
6. Would You Rather:
   • Option A: Receive ₹10 every second for one day
   • Option B: Receive ₹10 lakh at the end of the day

   Find the amount received in Option A and decide which option gives more money.

Answer Key

Basic – Answers

1. • 4,05,060 = Four lakh five thousand sixty
   • 12,34,500 = Twelve lakh thirty four thousand five hundred
   • 3,00,07,008 = Three crore seven thousand eight
2. • Seven lakh eight thousand forty two = 7,08,042
   • Twenty three lakh five hundred six = 23,00,506
   • Five crore two lakh ten thousand nine = 5,02,10,009
3. • 1 lakh = 100 thousands
   • 1 crore = 100 lakhs
   • 10 lakhs = 1 crore
   • 1 million = 10 lakhs
4. • 18,000 = 18 presses
   • 75,000 = 75 presses
   • 1,00,000 = 100 presses

   Hint: Divide the required number by 1,000.

5. • 56,304 = (5 × 10,000) + (6 × 1,000) + (3 × 100) + (4 × 1)
   • 4,08,072 = (4 × 1,00,000) + (8 × 1,000) + (7 × 10) + (2 × 1)
   • 2,34,05,006 = (2 × 1,00,00,000) + (3 × 10,00,000) + (4 × 1,00,000) + (5 × 1,000) + (6 × 1)
6. 99,999 < 9,99,999 < 10,00,000 < 1,00,00,000

Standard – Answers

1. • 4567890
     Indian: 45,67,890 = Forty five lakh sixty seven thousand eight hundred ninety
     International: 4,567,890 = Four million five hundred sixty seven thousand eight hundred ninety
   • 25004006
     Indian: 2,50,04,006 = Two crore fifty lakh four thousand six
     International: 25,004,006 = Twenty five million four thousand six
2. • 45 lakhs = 4.5 million
   • 8 crore = 80 million
   • 750 thousand > 7 lakhs
   • 2 billion = 200 crore
3. • Nearest thousand = 58,76,000
   • Nearest ten thousand = 58,80,000
   • Nearest lakh = 59,00,000
4. • 32,45,678 + 15,89,567 = 48,35,245
     Estimate: about 48,00,000
   • 75,00,000 − 18,75,450 = 56,24,550
     Estimate: about 56,00,000
5. 54,115 books
   • Hint: 48,750 + 7,825 − 2,460 = 54,115.
6. • 125 × 48 × 25 = 1,50,000
   • 2 × 3,465 × 50 = 3,46,500
   • 72 × 125 = 9,000

   Hint: Make groups such as 125 × 8 = 1,000 and 2 × 50 = 100.

Advance – Answers

1. Increase = 1,51,455
   Approximate increase = 2,00,000
   • Hint: 10,26,875 − 8,75,420 = 1,51,455, which rounds to 2 lakh.
2. 93,750 people
   • Hint: 75% = 3/4, so 1,25,000 × 3/4 = 93,750.
3. No, 1,200 buses are not enough.
   Capacity of 1,200 buses = 62,400 passengers
   More buses needed = 243 buses
   • Hint: Remaining people = 75,000 − 62,400 = 12,600. Then 12,600 ÷ 52 = 242.3, so 243 buses are needed.
4. Distance in 1 year = 43,800 km
   Distance in 10 years = 4,38,000 km
   Yes, the student can cover the distance in 10 years.
   • Hint: 4,38,000 km is 53,600 km more than 3,84,400 km.
5. 18 button presses
   • Hint: 72,405 = (7 × 10,000) + (2 × 1,000) + (4 × 100) + (5 × 1). Add the digits: 7 + 2 + 4 + 5 = 18.
6. • 87 × 95 gives a 4-digit product.
   • 999 × 999 gives a 6-digit product.
   • 4,500 × 68 gives a 6-digit product.

HOTS – Answers

1. • Largest 10-digit number divisible by 5 = 9,876,543,210
   • Smallest 10-digit even number = 1,023,456,798
   • Hint: A number divisible by 5 ends in 0 or 5. An even number ends in 0, 2, 4, 6 or 8.
2. • 62,300: Yes, it can be shown.
   • 91,600: Yes, it can be shown.
   • 1,20,750: No, it cannot be shown.
   • Hint: Both buttons add multiples of 100, so the calculator can show only numbers ending in 00.
3. No, Riya is not correct.
   • Example: 100 × 100 = 10,000, which is a 4-digit number.
   • Example: 999 × 999 = 9,98,001, which is a 6-digit number.
4. One possible number is 5,00,00,001.
   Yes, there are many possible numbers.
   • Hint: Any number sufficiently close to 5 crore will round to 5 crore at all the stated places.
5. Yes, the statement is reasonable.
   • Hint: 9,98,750 rounds to 10,00,000, or 10 lakh, to the nearest lakh.
6. Option A = ₹8,64,000
   Option B = ₹10,00,000
   Option B gives more money.
   • Hint: One day = 24 × 60 × 60 = 86,400 seconds. So, ₹10 × 86,400 = ₹8,64,000.

Other Class 7 Maths worksheet

Ganita Prakash Part-I, Grade 7

• Large Numbers Around Us Class 7 Maths Worksheet
• Arithmetic Expressions Class 7 Maths Worksheet
• A Peek Beyond the Point Class 7 Maths Worksheet
• Number Play Class 7 Maths Worksheet
• Working with Fractions Class 7 Maths Worksheet

Ganita Prakash Part-II, Grade 7

• Operations with Integers Class 7 Maths Worksheet
• Another Peek Beyond the Point Class 7 Maths Worksheet
• Finding the Unknown Class 7 Maths Worksheet

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