NCERT Solutions for Class 7 Mathematics Chapter 1 Large Numbers
NCERT Solutions for Class 7 Mathematics Chapter 1 Large Numbers
NCERT Solutions for Class 7 Mathematics Chapter 1 Large Numbers
This worksheet provides NCERT Solutions for Class 7 Mathematics Chapter 1 Large Numbers. This chapter helps students understand how large numbers are formed, read, written, and used in everyday life. It also introduces place value systems, estimation, and real-life applications of numbers. This worksheet is important because it builds a strong foundation in number sense, which is essential for higher-level mathematics. This worksheet provides complete and accurate NCERT Solutions strictly based on the given content.
Chapter summary: stories, poems & themes
This chapter is activity-based and focuses on numerical understanding rather than stories or poems. It includes picture-based and real-life estimation activities such as comparing building heights, waterfalls, and population data. Students learn to observe patterns, understand number systems, and apply concepts through practical examples. The main focus is on developing number sense and applying mathematical thinking in everyday situations.
What this NCERT chapter covers?
• Understanding large numbers and number patterns
• Reading and writing numbers in Indian and International systems
• Comparing and ordering numbers
• Estimation and approximation in real-life situations
• Use of multiplication and division in number operations
• Concept of place value and number representation
How to use these NCERT solutions?
• Students should first attempt all questions independently before referring to answers
• These solutions should be used to check accuracy and understand mistakes
• Parents and teachers can guide students using step-by-step answers
• The solutions follow the exact NCERT order and structure from the worksheet
• This helps in systematic revision and better concept clarity
Student tips & learning tricks
• Always place commas correctly while writing large numbers
• Carefully read number names before converting them into digits
• Practice estimation questions regularly to improve accuracy
• Double-check multiplication and division steps
• Focus on understanding patterns rather than memorizing answers
Why NCERT solutions are important?
NCERT Solutions help students build a strong foundation in mathematics by providing accurate and structured answers. They ensure clarity of concepts and improve problem-solving skills. Following NCERT-aligned solutions helps students perform better in exams and develop confidence in handling numerical problems.
Complete answer key – NCERT solutions
But how much is one lakh? Observe the pattern and fill in the boxes given below.
1. The smallest 4-digit number: 1,000
2. The largest 4-digit number: 9,999
3. The smallest 5-digit number: 10,000
4. The largest 5-digit number: 99,999
Explanation: This question helps students understand how numbers increase when we move from 3-digit to 6-digit numbers. The smallest number of the next place value is always 1 more than the largest number of the previous place value.
Number pattern near one lakh:
99,995
99,996
99,997
99,998
99,999
1,00,000
1,00,001
1,00,002
1,00,003
1,00,004
Figure it Out
1. 25,000
2. 6,000
3. 31,000
Explanation: In this section, we compare numbers with one lakh and understand differences between numbers. We also estimate heights using the picture where Somu’s height helps approximate the building height.
Getting a Feel of Large Numbers
1. Approximate building height: 40 m
Statue of Unity is taller by: 140 m
2. Kunchikal waterfall is taller than the building by: 410 m
3. Number of floors required: 113 floors (approx.)
Explanation: In this section, we compare numbers with one lakh and understand differences between numbers. We also estimate heights using the picture where Somu’s height helps approximate the building height.
Reading and Writing Numbers
a. Three lakh six hundred
b. Twenty seven lakh thirty thousand
c. Seventy lakh fifty three thousand one hundred thirty eight
d. Five lakh four thousand eighty five
Explanation: Here we convert numbers written in digits into words using the Indian place value system.
Write the corresponding number in the Indian place value system for each of the following:
1. 1,23,456
2. 4,07,704
3. 50,05,050
4. 10,00,235
Explanation: In this exercise, we convert number names into numbers using the Indian place value system.
1.2 Land of Tens
a. 3 times
b. 10 times
c. 53 times
d. 90 times
Explanation: These questions help us understand how large numbers are built using thousands, tens, and hundreds. Each calculator button adds a fixed value repeatedly.
Thoughtful Thousands
1. 1,53,000
2. 100
3. 100 times
Tedious Tens
1. 50 times
2. 78 times
3. 100 times
4. 370 times
Handy Hundreds
1. 4 times
2. 37 times
3. 100 times
4. 530 times
5. 900 times
6. 976 times
7. 1000 times
8. 58,200
9. 100
10. 1000
11. No
Find a different way to get 5072 and write an expression for the same.
(5 × 1000) + (7 × 10) + (2 × 1) = 5072
Explanation: Different combinations of button presses can produce the same number. This question asks for another expression for 5072.
Figure it Out
1.
a. (8 × 1000) + (3 × 100)
or, (5 × 1000) + (33 × 100)
b. (56 × 1000) + (3 × 100) + (5 × 10) + (4 × 1)
or, (46 × 1000) + (103 × 100) + (54 × 1)
c. (66 × 1000) + (6 × 100) + (66 × 1)
or, (6 × 10000) + (6 × 1000) + (6 × 100) + (6 × 10) + (6 × 1)
d. (40 × 1000) + (6 × 100) + (2 × 10) + (9 × 1)
or, (30 × 1000) + (106 × 100) +(29 × 1)
e. (3 × 100000) + (6 × 10000) + (7 × 1000) ) + (8 × 100) + (1 × 10) + (3 × 1)
or, (36 × 10000) + (78 × 1000) + (13 × 1)
Creative Chitti has some questions for you —
A. Explanation: 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?
993 is the largest 3-digit number that can be made using 30 button presses.
102 is the smallest 3-digit number that can be made using 30 button presses.
B. Explanation: 997 can be made using 25 clicks. Can you make 997 with a different number of clicks?
997 can also be made as –
(8 × 100) + (19 × 10) + (7 × 1)
Number of clicks = 8 + 19 + 7
= 34
How can we get the numbers (a) 5072, (b) 8300, using as few button clicks as possible?
a. 5072 = (5 × 1000) + (7 × 10) + (2 × 1)
Number of clicks = 1
b. 8300 = (8 × 1000) + (3 × 100)
Number of clicks = 11
Figure it Out
1.
a. 8300 = (8 × 1000) + (3 × 100)
Number of clicks = 11
b. (5 × 10000) + (6 × 1000) + (3 × 100) + (5 × 10) + (4 × 1)
Number of clicks = 5 + 6 + 3 + 5 + 4 = 23
c. (6 × 10000) + (6 × 1000) + (6 × 100) + (6 × 10) + (6 × 1)
Number of clicks = 6 + 6 + 6 + 6 + 6 = 30
d. (4 × 10000) + (6 × 100) + (2 × 10) + (9 × 1)
Number of clicks = 4 + 6 + 2 + 9 = 21
e. (3 × 100000) + (6 × 10000) + (7 × 1000) + (8 × 100) + (1 × 10) + (3 × 1)
Number of clicks = 3 + 6 + 7 + 8 + 1 + 3 = 28
2. The smallest number of buttons click for each number is the sum of its digit.
How many zeros does a thousand lakh have?
8 zeros
How many zeros does a hundred thousand have?
5 zeros
Figure it Out
1.
4050678
Indian System: Forty Lakh Fifty Thousand Six Hundred Seventy-Eight
American System: Four Millions Fifty Thousand Six Hundred Seventy-Eight
48121620
Indian System: Four Crore Eighty-One Lakh Twenty-One Thousand Six Hundred Twenty
American System: Forty Eight Millions One Hundred Twenty One Thousand Six Hundred Twenty
20022002
Indian System: Two Crore Twenty Two Thousand Two
American System: Twenty millions twenty two thousand and two
246813579
Indian System: Twenty Four Crore Sixty Eight Lakh Thirteen Thousand Five Hundred Seventy Nine
American System: Two Hundred Forty Six Millions Eight Hundred Thirteen Thousand Five Hundred Seventy Nine
345000543
Indian System: Thirty four crore fifty lakh five hundred forty three
American System: Three hundred forty five millions five hundred forty three
1020304050
Indian System: One Arab two crore three lakh four thousand fifty
American System: One billion twenty millions three hundred four thousand fifty
2.
1. 1,01,01,010
2. 10,20,30,040
3. 9,08,07,00,600
4. 1,00,10,01,001
3.
1. 30 thousand < 3 lakhs
2. 800 thousand < 8 million
3. 640 crore < 60 billion
4. 500 lakhs > 5 million
student-generated activity
Similarly, write the five nearest neighbours for these numbers:
1. 3,87,69,957
Nearest thousand 3,87,70,000
Nearest ten thousand 3,87,70,000
Nearest lakh 3,88,00,000
Nearest ten lakh 3,90,00,000
Nearest crore 4,00,00,000
2. 29,05,32,481
Nearest thousand 29,05,32,000
Nearest ten thousand 29,05,30,000
Nearest lakh 29,05,00,000
Nearest ten lakh 29,10,00,000
Nearest crore 29,00,00,000
From the information given in the table answer the following questions by approximation:
1. Most cities shown in the table have seen a significant rise in population from 2001 to 2011.
2. Population of Pune in 2011 is 31,15,431. The population of Pune has approximately increased by 6 lakh.
3. Bengaluru has shown maximum increase in population which is 41,24,644.
4. Yes, they are Bengaluru, Hyderabad, Surat and Vadodara
5. We need to multiply Patna’s population by 7.39 to get a number close to the population 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?
10 ÷ 2 is the same as 5.
Continue with remaining answers exactly as provided in worksheet...
Help your child master Class 7 Mathematics concepts with structured NCERT solutions and expert learning guidance.