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Case Study Questions for Class 6 Maths Chapter 1 Knowing Our Numbers

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Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for Class 6 Maths Chapter 1 Chapter 1 Knowing Our Numbers.

Knowing Our Numbers Case Study Questions

Case Study Question 1:

The population of Delhi in 2017 was 19072564 and it increased to 25704625 in 2021.

(i) Write the population of 2021 in words. (a) two crore fifty seven lakh four thousand six hundred twenty five (b) twenty five lakh seventy thousand six hundred twenty five (c) two hundred fifty seven thousand four hundred twenty five. (d) twenty five crore seventy lakh forty six thousand and twenty five.

(ii) The successor of 19072564 is. (a) 19072563 (b) 19072565 (c) 29072564 (d) 19072574

(iii) What is the place value of ‘ 7 ‘ in 19072564 (a) 7 (b) 70000 (c) 7000 (d) 700

(iv) Write the population of 2017 in words according to International system of numeration.

(v) Write the population of 2021 in expanded form.

Maths Class 6 Chapter List

Latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions

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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide   website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in CBSE Class 6 Mathematics   syllabus and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

CBSE Class 6 Maths Extra Questions

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CBSE Class 6 Maths Chapter 1 Important Questions

Ch – 1 Knowing our Numbers

• None of these
• 10000000, 10000001, 10000002, 10000003, 10000004
• 10000001, 10000002, 10000003, 10000004, 10000005
• 10000004, 10000003, 10000002, 10000001, 10000000
• 7 8,92,10,92
• 7,89,21,092
• 1 2202, 7691

Match the following-

Fill in the blanks:

• 1 million = _____ hundred thousand.
• 1 crore = _____ ten lakh.
• 1 crore = _____ million.
• 1 million = _____ lakh.

State whether the following statements are true or false.

• 1 Thousand = 10 hundred.
• There are many Roman Numbers.
• You are using estimation to get rough idea.
• Standard unit of mass is centimetre.
• How many crores makes a billion?
• Find the greatest number from below number 763298 and 764298
• Place commas correctly and write the numerals : a) Seventy three lakh seventy five thousand three hundred seven. b) Nine crore five lakh forty one. c) Seven crore fifty two lakh twenty one thousand three hundred two. d) Fifty eight millions four hundred twenty three thousand two hundred two.
• On Sunday 6000 people visited a zoo. Among them 2615 were children then how many adult visited zoo?
• Kirti Bookstore sold books worth Rs.2,85,891 in the first week of June and books worth Rs.4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
• Find the greatest and the smallest number. 42375, 42367, 42329, 42338.
• Write and solve the expression: Thirteen multiplied by sum of four and eleven. Now reverse the result and add it to earlier result, what you obtain multiply it by 13.
• 10000000, 10000001, 10000002, 10000003, 10000004 Explanation: The smallest 8-digit number is 1,00,00,000 and the next four numbers are 1,00,00,001, 1,00,00,002, 1,00,00,003 and 1,00,00,004
• 24657 Explanation: The number has 4 in thousands place and 6 in hundreds place
• 1410 Explanation: 567 + 843 = 1410
• 12202, 124 Explanation: The number containing 5 digits is greater than the numbers containing digits 4 or 3 in short 5 digit number > 4 digit number > 3 digit number The number containing 3 digits is smaller than the numbers containing digits 4 or 5 in short 3 digit number < 4 digit number < 5 digit number
• {tex} \to {/tex} q
• {tex} \to {/tex} p
• {tex} \to {/tex} s
• {tex} \to {/tex} r
• 1 million = ten hundred thousand.
• 1 crore = ten ten lakh.
• 1 crore = ten million.
• 1 million = ten lakh.
• 1 billion= 100 crore
• 764298 is the greatest number
• a) 73,75,307 b) 9,05,00,041 c) 7,52,21,302 d) 58,423,202
• Total number of people visited the zoo = 6000 people Total number of children = 2615 children Then number of adults = 6000 – 2615 = 3385
• Sale of books in the first week = Rs.2,85,891. Sale of books in the second week = Rs.4,00,768 ∴ Sale for the two weeks together = Rs.2,85,891 + Rs.4,00,768 = Rs.6,86,659. The sale was greater in the second week by Rs. 4,00,768 – Rs.2,85,891 i.e., by Rs.1,14,877.
• The greatest number is 42375 The smallest number is 42329
• Expression 13 {tex} \times {/tex} (4 + 11) = 13 {tex} \times {/tex} 15= 195 On reversing the answer = 591 Adding reversing number to the result i.e. 591 + 195 = 786 Multiplying it by 13 i.e. 786 {tex} \times {/tex} 13= 10218.

Chapter Wise Extra Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers

• NCERT Solutions

Important Topics under NCERT Solutions for Class 6 Maths Chapter 1

Chapter 1 of the class 6 maths syllabus is on ‘Knowing Our Numbers’. This is a very important chapter in class 6 that develops a student’s number sense. This crucial chapter in the class 6 maths syllabus is divided into 5 major sections or topics. The following is a list of the important topics covered under NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers. We recommend that students carefully read through each one of these topics to get a clear understanding of the concepts introduced in the chapter and be able to utilize the provided solutions appropriately and efficiently.

Introduction

Comparing Numbers

Large Numbers in Practice

Using Brackets

Roman Numerals

Vedantu’s expert teachers have meticulously curated these solutions for the betterment of clarity in internalizing the concepts included in this chapter and to ensure that students are able to score well in exams easily after going through and practicing these solutions.

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers is prepared by well-experienced Maths teachers for the sake of 6th-grade students. It explains every concept of all chapters with plenty of solid questions and with a clarified explanation. It helps the students to understand slowly and to get practice well to become perfect and again a good score in their examination. Download Vedantu NCERT Book Solutions to get a better understanding of all the exercises questions. You can also register Online for NCERT Solutions Class 6 Science tuition on Vedantu.com to score more marks in your examination.

The scholars use an easy and straightforward language which is understandable to all the levels of students. It is also available in PDF format to download at Vedantu for free.

Knowing Our Numbers Class 6 Maths Chapter 1

Given below are some of the important concepts that students can learn in Class 6 Chapter 1: Knowing Our Numbers

Numbers are basically the arithmetic values.

Numbers generally convey the magnitude of everything that is around us.

Ascending Order: If numbers are arranged from the smallest to the greatest.

Descending Order: If numbers are arranged from the greatest to the smallest number.

For example, if we consider a group of numbers: 31, 13, 95, 466, 9678 and 10802. They can be arranged in descending order as 10802, 9678, 466, 95, 31 and 13, and in ascending order as 13, 31, 95, 466, 9678 and 10802.

BODMAS Rule: It describes the sequence of operations to be carried out while solving an expression. If an expression has brackets ((), []), we must first solve the bracket, then 'order' (powers and roots, etc.), then division, multiplication, addition, and subtraction from left to right. If you solve the problem in the wrong order, you'll get the wrong answer.

Access NCERT Solutions for Class 6 Maths Chapter 1- Knowing Our Numbers

Exercise 1.1

1. Fill in the blanks:

(a) 1 lakh = ____ ten thousand

(b) 1 million =____ hundred thousand

(c) 1 crore = ____ ten lakh

(d) 1 crore =____ million

(e) 1 million = ____ lakh

(a) 1 lakh = \[10\] ten thousand

(b) 1 million = \[10\] hundred thousand

(c) 1 crore =  \[10\] ten lakh

(d) 1 crore = \[10\] million

(e) 1 million =  \[10\] lakh

2. Place commas correctly and write the numerals:

(a) Seventy-three lakh seventy-five thousand three hundred seven.

(b) Nine crore five lakh forty-one.

(c) Seven crore fifty-two lakh twenty-one thousand three hundred two.

(d) Fifty-eight million four hundred twenty-three thousand two hundred two.

(e) Twenty-three lakh thirty thousand ten.

(a) Seventy-three lakh seventy-five thousand three hundred seven  \[=\text{ }73,75,307\text{ }\]

(b) Nine crore five lakh forty-one \[=\text{ }9,05,00,041\]

(c) Seven crore fifty-two lakh twenty-one thousand three hundred two \[=\text{ }7,52,21,302\text{ }\]

(d) Fifty-eight million four hundred twenty-three thousand two hundred two \[=\text{ }58,423,202\]

(e) Twenty-three lakh thirty thousand ten \[=\text{ }23,30,010\]

3. Insert commas suitable and write the names according to Indian system of numeration: 

(a) 87595762

(b) 8546283

(c) 99900046

(d) 98432701

(a) \[8,75,95,762=\] Eight-crore seventy five lakh ninety-five thousand seven hundred sixty two

(b) \[85,46,283=\] Eighty-five lakh forty-six thousand two hundred eighty three

(c) \[9,99,00,046=\] Nine crore ninety-nine lakh forty six

(d) \[9,84,32,701=\] Nine crore eighty-four lakh thirty-two thousand seven hundred one

4. Insert commas suitable and write the names according to International system of numeration:

(a) 78921092

(b) 7452283

(c) 99985102

(d) 48049831

(a) \[78,921,092=\] Seventy eight million nine hundred twenty one thousand ninety two

(b) \[7,452,283=\] Seven million four hundred fifty two thousand two hundred eighty three

(c) \[99,985,102=\] Ninety nine million nine hundred eighty five thousand one hundred two

(d) \[48,049,831=\] Forty eight million forty nine thousand eight hundred thirty one

Exercise 1.2

1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively \[\mathbf{1094},\mathbf{1812},\mathbf{2050}\text{ }\mathbf{and}\text{ }\mathbf{2751}\]. Find the total number of tickets sold on all the four days.

Tickets sold of first day \[=\text{ }1,094\]

Tickets sold of second day \[=\text{ }1,812\]

Tickets sold of third day = 2,050

Tickets sold of fourth day \[=~2,751\]

Total tickets sold \[\begin{align} & =\text{ }1,094+1,812+2,050+2,751 \\ & =\text{ }7,707 \\ \end{align}\]

2. Shekhar is a famous cricket player. He has so far scored \[\mathbf{6980}\] runs in test matches. He wishes to complete \[\mathbf{10},\mathbf{000}\] runs. How many more runs does he need?

Runs scored by Shekhar \[=\text{ }6980\]

Total number of runs he need \[\begin{align} & =\text{ }10,000-6980 \\ & =\text{ }3020 \\ \end{align}\].

3. In an election, the successful candidate registered \[\mathbf{5},\mathbf{77},\mathbf{500}\] votes and his nearest rival secured \[\mathbf{3},\mathbf{48},\mathbf{700}\] votes. By what margin did the successful candidate win the election?

Ans: Successful candidate secured votes \[=\text{ }5,77,500\]

Rival candidate secured votes \[=\text{ }3,48,700\]

Margin of votes \[\begin{align} & =\text{ }5,77,500-3,48,700 \\ & =\text{ }2,28,800 \\ \end{align}\]

4. Kirti Bookstore sold books worth \[\mathbf{2},\mathbf{85},\mathbf{891}\] in the first week of June and books worth \[\mathbf{4},\mathbf{00},\mathbf{768}\] in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Ans: Books sold in week one \[=\text{ }2,85,891\]

Books sold in week second \[=\text{ }4,00,768\]

Total sale \[=\text{ }4,00,768+2,85,891=6,86,659\]

Clearly, sale of second week is more than the first week sale

Difference \[\begin{align} & =\text{ }4,00,768-2,85,891 \\ & =\text{ }1,14,877 \\ \end{align}\]

5. Find the difference between the greatest and the least number that can be written using the digits \[\mathbf{6},\mathbf{2},\mathbf{7},\mathbf{4},\mathbf{3}\] each only once.

Ans: Largest five digit number  \[=76432\]

Smallest five-digit number  \[=\text{ }23467\]

Therefore, the difference between then  \[\begin{align} & =\text{ }76432-23467 \\ & =\text{ }52965 \\ \end{align}\]

6. A machine, on an average, manufactures \[\mathbf{2},\mathbf{825}\]screws a day. How many screws did it produce in the month of January \[\mathrm{2006}\]?

Screws produced in one day \[=\text{ }2,825\]

Total Screws produced in \[31\] days \[\begin{align} & =\text{ }2,825\times 31\text{ } \\ & =\text{ }87,575 \\ \end{align}\]

Hence, the machine produced \[87,575\] screws in the month of January.

7. A merchant had \[\mathbf{78},\mathbf{592}\]with her. She placed an order for purchasing \[\mathbf{40}\] radio sets at \[\mathbf{1},\mathbf{200}\] each. How much money will remain with her after the purchase?

Total money merchant had \[=\text{ }Rs.\text{ }78,592\]

Cost of one radio \[=\text{ }Rs.\text{ }1200\]

Cost of \[40\] radios \[=\text{ }1200\times 40=\text{ }Rs.\text{ }48,000\]

Money left \[\begin{align} & =\text{ }78,592-48,000 \\ & =\text{ }30,592 \\ \end{align}\]

8. A student multiplied \[\mathbf{7236}\text{ }\mathbf{by}\text{ }\mathbf{65}\] instead of multiplying \[\mathbf{by}\text{ }\mathbf{56}\]. By how much was his answer greater than the correct answer?

Wrong answer \[\begin{align} & =\text{ }7236\times 65\text{ } \\ & =\text{ }470340 \\ \end{align}\]

Correct answer \[\begin{align} & =\text{ }7236\times 56\text{ } \\ & =\text{ }405216 \\ \end{align}\]

Difference in answers \[\begin{align} & =\text{ }470340-405216\text{ } \\ & =\text{ }65,124 \\ \end{align}\]

9. To stitch a shirt \[\mathbf{2}\text{ }\mathbf{m}\text{ }\mathbf{15}\text{ }\mathbf{cm}\] cloth is needed. Out of \[\mathbf{40}\text{ }\mathbf{m}\] cloth, how many shirts can be stitched and how much cloth will remain?

Cloth required for stitch one shirt 

\[\begin{align} & =\text{ }2\text{ }m\text{ }15\text{ }cm \\ & =\text{ }2\times 100\text{ }cm+15\text{ }cm \\ & =215cm \\ \end{align}\]

Total length of cloth \[\begin{align} & =\text{ }40\text{ }m\text{ } \\ & =\text{ }40\times 100\text{ }cm \\ & =4000\text{ }cm \\ \end{align}\]

Number of shirts that can be stitched = \[\frac{4000}{215}\] \[215\overset{18}{\overline{\left){\begin{align} & 4000 \\ & \frac{-215}{\begin{align} & 1850 \\ & \frac{-1720}{130} \\ \end{align}} \\ \end{align}}\right.}}\]

Hence, \[18\] shirts can be stitched and \[130\text{ }cm\text{ }\left( 1\text{ }m\text{ }30\text{ }cm \right)\] cloth will be left.

10. Medicine is packed in boxes, each weighing \[\mathbf{4}\text{ }\mathbf{kg}\text{ }\mathbf{500}\text{ }\mathbf{g}\] . How many such boxes can be loaded in a can which cannot carry beyond \[\mathbf{800}\text{ }\mathbf{kg}\]?

Weight of a box \[\begin{align} & =\text{ }4\text{ }kg\text{ }500\text{ }g\text{ } \\ & =\text{ }4500\text{ }g \\ \end{align}\]

Number of boxes \[=\text{ }\frac{800000}{4500}\]

\[4500\overset{177}{\overline{\left){\begin{align} & 800000 \\ & \frac{-4500}{\begin{align} & 35000 \\ & \frac{-31500}{\begin{align} & 35000 \\ & \frac{-31500}{3500} \\ \end{align}} \\ \end{align}} \\ \end{align}}\right.}}\]

Hence, \[177\] boxes can be loaded in the Van.

11. The distance between the school and the house of a student’s house is \[\mathbf{1}\text{ }\mathbf{km}\text{ }\mathbf{875}\text{ }\mathbf{m}\]. Every day she walks both ways. Find the total distance covered by her in six days.

Distance between school and her house \[=\text{ }1875\text{ }m\]

Total distance covered \[\begin{align} & =\text{ }2\times 1875\text{ } \\ & =\text{ }3750\text{ }m \\ \end{align}\]

Distance covered in \[6\text{ }days\] \[\begin{align} & =\text{ }6\times 3750\text{ } \\ & =\text{ }22500\text{ }m \\ \end{align}\]

Thus, she covers \[22\text{ }km\text{ }500\text{ }m\] distance in \[6\text{ }days\]

12. A vessel has \[\mathbf{4}\text{ }\mathbf{liters}\text{ }\mathbf{and}\text{ }\mathbf{500}\text{ }\mathbf{ml}\] of curd. In how many glasses each of \[\mathbf{25}\text{ }\mathbf{ml}\] capacity, can it be filled?

Capacity of vessel \[\begin{align} & =\text{ }4\text{ }liters\text{ }500\text{ }ml\text{ } \\ & =\text{ }4500\text{ }ml \\ \end{align}\]

Capacity of a glass \[=\text{ }25\text{ }ml\]

Number of glasses can be filled \[=\text{ }\frac{4500}{25}\] \[25\overset{180}{\overline{\left){\begin{align} & 4500 \\ & \frac{-25}{\begin{align} & 200 \\ & \frac{-200}{0} \\ \end{align}} \\ \end{align}}\right.}}\]

Therefore, \[180\] glasses are required.

Exercise 1.3

1. Estimate each of the following using general rules:

\[\begin{array}{*{35}{l}} \left( \mathrm{a} \right)\mathrm{ 730+998} \\ \left( \mathrm{b} \right)\mathrm{ 796--314} \\ \left( \mathrm{c} \right)\mathrm{ 12,904+2,888} \\ \left( \mathrm{d} \right)\mathrm{ 28,292--21,496} \\ \end{array}\]

(a) \[730\] round off to \[=700\]

\[998\] round off to \[=1000\]

Estimated sum \[=\text{ }1700\]

(b) \[796\]round off to \[=800\]

\[314\] round off to \[=300\]

Estimated sum \[=\text{ }500\]

(c) \[12904\] round off to \[=13000\]

\[2888\] round off to \[=3000\]

Estimated sum \[=\text{ }16000\]

(d) \[28292\] round off to \[=28000\]

\[21496\] round off to \[=21000\]

Estimated difference \[=\text{ }7000\]

2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):

\[\begin{align} & \begin{array}{*{35}{l}} \left( \mathrm{a} \right)\mathrm{ 439+334+4317} \\ \left( \mathrm{b} \right)\mathrm{ 1,08,737--47,599} \\ \left( \mathrm{c} \right)\mathrm{ 8325--491} \\ \end{array} \\ & \left( \mathrm{d} \right)\mathrm{ 4,89,348--48,365} \\ \end{align}\]

(a) Rough estimate by rounding off to nearest hundreds:

\[439\] round off to \[=400\]

\[334\] round off to \[=300\]

\[4317\] round off to \[=4300\]

Estimated sum \[=\text{ }5000\]

Rough estimate by rounding off to nearest tens:

\[439\] round off to \[=440\]

\[334\] round off to \[=330\]

\[4317\] round off to \[=4320\]

Estimated sum \[=\text{ }5090\]

(b) Rough estimate by rounding off to nearest hundreds:

\[108734\] round off to \[=108700\]

\[47599\] round off to \[=47600\]

Estimated difference \[=\text{ }61100\]

\[108734\] round off to \[=108730\]

Estimated difference \[=\text{ }61130\]

(c) Rough estimate by rounding off to nearest hundreds:

\[8325\] round off to \[=8300\]

\[491\] round off to \[=500\]

Estimated difference \[=\text{ }7800\] 

\[8325\] round off to \[=8330\]

\[491\] round off to \[=490\]

Estimated difference \[=\text{ }7840\] 

(d) Rough estimate by rounding off to nearest hundreds:

\[489348\] round off to \[=489300\]

\[48365\] round off to \[=48400\]

Estimated difference \[=\text{ }440900\]

\[489348\] round off to \[=489350\]

\[48365\] round off to \[=48370\]

Estimated difference \[=\text{ 440980}\]

3. Estimate the following products using general rule: 

\[\begin{array}{*{35}{l}} \left( \mathrm{a} \right)\mathrm{ 578 }\!\!\times\!\!\text{ 161} \\ \left( \mathrm{b} \right)\mathrm{ 5281 }\!\!\times\!\!\text{ 3491} \\ \left( \mathrm{c} \right)\mathrm{ 1291 }\!\!\times\!\!\text{ 592} \\ \left( \mathrm{d} \right)\mathrm{ 9250 }\!\!\times\!\!\text{ 29} \\ \end{array}\]

(a) \[578\times 161\]

\[578\] rounds off to \[=600\]

\[161\] rounds off to \[=200\]

Product \[\begin{align} & =\text{ }600\times 200\text{ } \\ & =\text{ }1,20,000 \\ \end{align}\]

(b) \[5281\times 3491\]

\[5281\] rounds of to \[=5,000\]

\[3491\] rounds off to \[=3,500\]

Product \[\begin{align} & =\text{ }5,000\times 3,500\text{ } \\ & =\text{ }1,75,00,000 \\ \end{align}\]

(c) \[1291\times 592\]

\[1291\] rounds off to \[=1300\]

\[592\] rounds off to \[=600\]

Product \[\begin{align} & =\text{ }1300\times 600\text{ } \\ & =\text{ }7,80,000 \\ \end{align}\]

(d) \[9250\times 29\]

\[9250\] rounds off to \[=9,000\]

\[29\] rounds off to \[=30\]

Product \[\begin{align} & =\text{ }9,000\times 30\text{ } \\ & =\text{ }2,70,000 \\ \end{align}\]

NCERT Solutions Class 6 of Mathematics chapter-Wise PDF

The NCERT solutions Class 6 Maths Chapter 1 PDF is available on our official website ABC.com for free. It allows students to practice themselves at their feasible timings and also prevents them from sitting in front of the electronic gadget. It is useful to recall and revise during the time of examinations as well as no need to get worried about the internet connection. Also, the professors were available to clarify the doubts of students through live chat, or they can share their questions in the chat box.

Knowing Our Numbers: NCERT Class 6 Maths Chapter 1 Solutions Summary

The concept of numbers was developed to define the quantity of things, people, etc. Apart from simple numerical concepts, the Class 6 students will learn what kind of number exists and how they are identified. With the help of NCERT Solutions Class 6 Maths Chapter 1, the students will be able to understand these new concepts. A clear foundation will be constructed that will help them to learn advanced concepts in the next chapters and higher classes.

The NCERT Solutions for Class 6 Maths Ch 1 will focus on the exercises related to the chapter. The chapter will discuss thoroughly the concepts used to define numbers, the mathematical operations we perform with numbers, and how these concepts are used to solve mathematical problems. Hence, the use of NCERT Solutions for Class 6th Maths Chapter 1 will be a smart step to complete the chapter efficiently.

Chapter 1 - Knowing Our Numbers

1.1 Introduction

As students entered into the sixth standard, the NCERT solutions try to recall all their knowledge on numbers at the beginning of the chapter. As the students already learned different calculations like Asian, subtraction, multiplication, and division with the numbers, here, they may learn other ways to calculate or count the big numbers to express huge quantities.

1.2 Comparing Numbers

The NCERT solutions of Class 6 Maths Chapter 1 Knowing Our Numbers like to teach the students of grade 6 about comparing the larger numbers in different ways. Students can learn how to change the value of a number by shifting the digits, changing their places. Also, the subject experts explained the introduction of big numbers like 10,000 and 1,00,000. Not only numbers of students also taught how to find out the place value as well as keeping commas for the big numbers.

It ultimately deals with the reading and writing strategies of 5 - digit and 6 - digit numbers. So that the students can calculate more values while finding different problems as well as they are useful in their daily routine also.

1.2.1 How many numbers can you make?

1.2.2 Shifting of numbers.

1.2.3 Introducing 10,000.

1.2.4 Revisiting place value.

1.2.5 Introducing 1,00,000.

1.2.6 Larger numbers.

1.2.7 An aid in reading and writing large numbers.

1.3 Large Numbers in Practice

This part of Chapter 1 is essential for the students of Class 6 to improve their thinking skills. Here the NCERT Solutions of Class 6 Maths Chapter 1 has introduced the concept of estimation. That means students can learn how to estimate future things and how they can plan to reach that estimation because it can be faced in plenty of situations for them.

The NCERT Class 6 Maths Chapter 1 PDF Gail several solid examples and different scenarios to make the student understand and to make them perfect in the estimating and to forecast the future. They gave instances like, if the birthday party has been planned to celebrate in our house, the first thing we need to discuss that event is estimating the presence of members. Because it helps to plan for the food, return gifts, the quantity of cake, budget, etc. Also, the students are getting awareness of rounding those estimations into your perfect figure with various place values starting from tens to thousands. Students will practice addition, subtraction, multiplication with the large numbers as well as the estimating figures.

1.3.1 Estimation

1.3.2 Estimating to the nearest tens by rounding off.

1.3.3 Estimating to the nearest hundreds by rounding off.

1.3.4 Estimating to the nearest thousands by rounding off.

1.3.5 Estimating outcomes of number situations.

1.3.6 To estimate sum or difference.

1.3.7 To estimate products.

1.4 Using Brackets

Introducing the usage of brackets is essential for 6th-grade students. The usage of brackets will occur mostly and two or more different things with one common point.so the students need to place the different things in a bracket, and the common thing will be outside the bracket. Students also learn the distribution of common things, which is outside the bracket to the different parts available within the brackets.

1.5 Roman Numerals

As the students knew the Hindu Arabic numeral system till primary classes, here they are introduced to the Roman numeric system, which is widely spread in the society. So, it is mandatory to teach them with several examples and perfect explanations. It can be easily done by NCERT Solutions Class 6 Maths Chapter 1.

We cover all exercises in the chapter given below:-

Chapter wise NCERT Solutions for Class 6 Maths

Chapter 2 - Whole Numbers

Chapter 3 - Playing with Numbers

Chapter 4 - Basic Geometrical Ideas

Chapter 5 - Understanding Elementary Shapes

Chapter 6 - Integers

Chapter 7 - Fractions

Chapter 8 - Decimals

Chapter 9 - Data Handling

Chapter 10 - Mensuration

Chapter 11 - Algebra

Chapter 12 - Ratio and Proportion

Chapter 13 - Symmetry

Chapter 14 - Practical Geometry

FAQs on NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers

1. What Makes NCERT Solutions the Best Choice?

Of course, the NCERT solutions are a perfect choice for the students with their distinct features. They are concerned more about the level of the students, and the subject experts will prepare the material in such a way which is easy to understand and good to practice.

The availability of PDF for free download is another positive feature that makes it more weight. Session of doubts clarification was fabulous for the students to get the clarification as well as confidence while solving problems.

2. To Stitch a Shirt, 2 m 15 cm Cloth is Needed. Out of 40 m Cloth, How many Shirts can be Stitched, and How much Cloth will Remain?

Cloth needed to stitch a single shirt  = 2m 15cm

= 200 cms + 15 cms

Total cloth = 40 m

                    = 4000 cms

Number of shirts can be stitched with 4000 cm = 4000/ 215 cms

      = 215*18 = 3870

      = 18 shirts.

Remaining cloth = 4000 - 3870 = 130 cms.

So 18 shirts can be stitched with 40 m of cloth with 130 cm cloth will remain.

3. What are the topics covered in Chapter 1 of NCERT Solutions for Class 6 Maths?

The topics covered in the NCERT Solutions for Chapter 1 of NCERT Class 6 Maths are:

Comparing numbers- reading and writing 5 and 6 digit numbers

Estimation of figures

Usage of brackets

Roman numerals

This chapter is important as students will use the basics learnt here in various life situations too. Therefore students should make it a point to clear the fundamentals of this chapter.

4. How many problems are there in each exercise of NCERT Solutions for Chapter 1 of Class 6 Maths?

There are three exercises in NCERT Solutions for  Chapter 1 of Class 6 Maths-

Exercise1.1- four questions with answers

Exercise 1.2- 12 questions with answers

E xercise 1.3- three questions with answers

Students can find the NCERT solutions to all exercises free of cost on Vedantu’ s website. Solving all these exercise questions will make the fundamentals of students clear and will help them score well in exams.

5. Why should I refer to NCERT solutions for Chapter 1 of Class 6 Maths?

NCERT solutions for Class 6 Maths Chapter 1 builds from the fundamentals so that students can grasp the basics and progress to advanced concepts easily. You can refer to Vedantu’s NCERT solutions for free of cost to get an in-depth understanding of Chapter 1 Class 6 Maths. These solutions are prepared by experts who have decades of teaching experience and are written in easy to understand language.

6. How can I learn Maths in Chapter 1 of Class 6 Maths?

Students can learn Class 6 Maths from the NCERT textbook. The concepts are explained easily and taught from the basics so that all students can understand them. There are exercise questions at the end of each chapter that will test the student’s understanding of the concepts. Students can practice those questions to better understand the topic. Vedantu app and the website offers solutions to all exercise questions so that students can solve their doubts and learn how to solve each problem.

7. What are the rules of the Roman numeral system?

The rules followed while writing numbers in Roman numerals are-

The value of a symbol is added as many times as it repeats.

A symbol is never repeated more than three times except for V, Land D where it is never repeated.

The lower value symbol is added when it is present on the right side of a higher value symbol.

The lower value symbol is subtracted when it is present on the left side of a higher value symbol.

V, L and D are never subtracted.

NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers will help the students take their understanding of numbers a bit further and explore topics like shifting digits, expanding brackets, roman numerals, estimating sum or difference, products, outcomes of number situations, and many more. This chapter will also help the students revise all the operations on numbers like multiplication , addition , subtraction , and division covered in the previous classes. Presented below is an in-depth analysis of Class 6 Maths NCERT Solutions Chapter 1.

These solutions will help the students understand large numbers through real-life examples while also exploring their unit conversions. They will also get to learn about the International and Indian systems of numeration along with an introduction to the concept of roman numerals. Let us now take a deeper look at the different sub-topics covered in NCERT Solutions Class 6 Maths Chapter 1 and also you can find some of these in the exercises given below.

• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.1
• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.2
• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.3

NCERT Solutions for Class 6 Maths Chapter 1 PDF

NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers contains all the important questions, images, explanations, and formulas covered in the chapter. These solutions are aimed at helping the students understand and solve complex concepts such as the use of commas in larger numbers. Commas are used to mark thousands, lakhs, and crores. Let us do a detailed exercise-wise overview of this chapter using the PDF links given below :

☛ Download Class 6 Maths NCERT Solutions Chapter 1 Knowing Our Numbers

NCERT Class 6 Maths Chapter 1   Download PDF

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

Students must have already studied the formation of numbers in the previous classes. In this chapter, they will be introduced to the concept of arranging numbers in ascending as well as in descending order and shifting the digits to form new numbers. All these ideas are explained along with real-life examples in the NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers.

• Class 6 Maths Chapter 1 Ex 1.1 - 4 Questions
• Class 6 Maths Chapter 1 Ex 1.2 - 12 Questions
• Class 6 Maths Chapter 1 Ex 1.3 - 5 Questions

☛ Download Class 6 Maths Chapter 1 NCERT Book

Topics Covered: The important topics covered under Class 6 maths NCERT Solutions Chapter 1 are natural numbers , comparison of numbers, place value of a digit, estimation of the numbers, roman numerals , and importance of brackets. Questions related to all these topics must be practiced regularly to score excellent marks in the exams.

Total Questions: Class 6 Maths Chapter 1 Knowing Our Numbers has a total of 21 well-researched questions out of which 12 are straightforward, 3 are of moderate level, and 6 are complex level problems. 

List of Formulas in NCERT Solutions Class 6 Maths Chapter 1

NCERT solutions class 6 maths chapter 1 does not cover any formulas . However, there are some pointers that the students must remember while solving problems from this chapter. These pointers will help them avoid mistakes while giving a crystal clear understanding of the topics covered in this chapter. Let us now go through these pointers one by one :

• Given two numbers, if one has a large number of digits, then it is greater. In the case where the number of digits is the same, the number with the larger leftmost digit is considered to be the greater number.
• We put commas after 3 digits in the Indian system. These commas are put after 3,5,7, thus separating the thousand, lakh, and crore. However, in the International System, we put commas after every 3 and 6 digits from right, separating thousands, billions, and further billions.
• We use estimation in order to get a rough figure of the numbers involved. This gives us a quick idea of the answer. Estimation is done by rounding numbers.

Important Questions for Class 6 Maths NCERT Solutions Chapter 1

Faqs on ncert solutions for class 6 maths chapter 1, why are ncert solutions class 6 maths chapter 1 important.

NCERT Solutions Class 6 Maths Chapter 1 will help kids identify pain points and find ways to solve questions in an efficient manner. They focus on some of the fundamental concepts that act as a building block for a kid’s mathematical journey. Topics such as estimation have practical applications in our daily life as it gives an idea of the quantity. Thus these solutions are extremely important for students considering their utility in everyday life.

Do I Need to Practice all Questions Provided in NCERT Solutions for Class 6 Maths Knowing Your Numbers?

All the questions in NCERT Solutions are curated by experts covering a range of topics. NCERT Solutions for Class 6 Maths Chapter 1 will help you explore all the topics in detail by solving a range of problems. Thus practicing all the questions of this chapter is important for a strong mathematical foundation.

What are the Important Topics Covered in NCERT Solutions Class 6 Maths Chapter 1?

NCERT Solutions Class 6 Maths Chapter 1 covers a range of essential topics such as estimating numbers, use of commas, place value, expanding brackets, and roman numerals. Questions related to all these topics are explained in a step-wise manner in the NCERT solutions.

How Many Questions are there in Class 6 Maths NCERT Solutions Chapter 1 Knowing Your Numbers?

There are a total of 21 sums in the NCERT Solutions Class 6 Maths Chapter 1 Knowing Your Numbers. These questions are distributed in 3 exercises. Out of 21 questions, 10 are easy sums, 5 are moderately difficult problems, while 6 are complex sums that need brainstorming.

How can CBSE Students utilize NCERT Solutions for Class 6 Maths Chapter 1 effectively?

In order to effectively utilize the NCERT Solutions Class 6 Maths Chapter 1 students must go through the detailed solutions of all the questions, explore the chapter summary, and theory of the chapter. Students must give adequate time to all the exercises and solve questions in a step-wise manner.

Why Should I Practice NCERT Solutions Class 6 Maths Knowing Your Numbers?

NCERT Solutions Class 6 Maths Chapter 1 Knowing Your Numbers will help you revise the previous concepts from earlier classes like place values, whole numbers, number system, etc. Apart from that, this chapter will help you understand the applications of interesting concepts in your day-to-day life.

• Class 6 Maths
• Class 6 Science
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Chapter 1 Class 6 Knowing our Numbers

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Updated for new NCERT Book.

Get NCERT Solutions of Chapter 1 Class 6 Knowing our Numbers with Videos of all questions. All exercise questions and examples are solved with step-by-step answers.

In this chapter, we will

• First revise our concepts of Place Value
• Learn about Indian Number System and International Number System
• Then, we learn how to compare large numbers
• And, add , subtrac t, multiply large numbers
• We study what rounding off is, and how to round off to nearest tens, hundreds, thousands
• We learn about  General rule for rounding off , which is used in sum, subtraction and multiplication
• What are Roman Numerals
• Rules for forming Roman Numerals
• List of Roman Numerals for reference
• Roman Numerals for big numbers

Click on an exercise link below to start learning.

Or you can also check the topics from Concept wise, where we have first explained the topic and then ordered the questions from easy to difficult.

Serial order wise

Concept wise.

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Unit 1: Knowing our numbers

Comparing numbers.

• Comparing multi-digit numbers (Opens a modal)
• Comparing multi-digit whole numbers word problems (Opens a modal)
• Compare multi-digit numbers Get 5 of 7 questions to level up!
• Compare multi-digit numbers word problems Get 3 of 4 questions to level up!

Large numbers

• Intro to lakhs and crores (Opens a modal)
• Reading and writing large numbers (Opens a modal)
• Intro to millions and billions (Opens a modal)
• Convert between lakhs, crores, millions, and billions Get 5 of 7 questions to level up!
• Word problems involving lakhs and crores Get 3 of 4 questions to level up!

Large numbers in practice

• Metric system: units of distance (Opens a modal)
• Metric system: units of volume (Opens a modal)
• Metric system: units of weight (Opens a modal)
• Multi-step unit conversion examples (metric) (Opens a modal)
• Convert to smaller units (mm, cm, m, & km) Get 5 of 7 questions to level up!
• Convert to smaller units (mL and L) Get 3 of 4 questions to level up!
• Convert to smaller units (g and kg) Get 3 of 4 questions to level up!
• Metric conversions word problems Get 3 of 4 questions to level up!

Estimating to nearest ten, hundred, or thousand

• Rounding to nearest 10 and 100 (Opens a modal)
• Rounding whole numbers to nearest thousand (Opens a modal)
• Round to nearest 10 or 100 on the number line Get 5 of 7 questions to level up!
• Round whole numbers Get 5 of 7 questions to level up!

Estimating sum, difference, or product

• Estimating adding and subtracting 3-digit numbers (Opens a modal)
• Multiplication estimation example (Opens a modal)
• Estimate to add multi-digit whole numbers Get 3 of 4 questions to level up!
• Estimate multi-digit multiplication Get 3 of 4 questions to level up!

Using brackets

• Evaluating expressions with & without parentheses (Opens a modal)
• Constructing numerical expressions (Opens a modal)
• Evaluate expressions with parentheses Get 5 of 7 questions to level up!
• Translate expressions with parentheses Get 3 of 4 questions to level up!

Roman numerals

• Intro to Roman numerals (Opens a modal)
• Reading and writing Roman numerals (Opens a modal)
• Roman numerals worked example (Opens a modal)
• Read Roman numerals Get 3 of 4 questions to level up!
• Convert to Roman numerals Get 3 of 4 questions to level up!

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. It helps the students to understand slowly and to get practice well to become perfect and again a good score in their examination.

These materials are prepared based on Class 6 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 6 Solutions Maths Chapter 1 Knowing Our Numbers are in accordance with the latest CBSE guidelines and marking schemes

Class 6 Maths Chapter 1 Exercise 1.1 Solutions

Class 6 Maths Chapter 1 Exercise 1.2 Solutions

Class 6 Maths Chapter 1 Exercise 1.3 Solutions

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NCERT Solutions For Class 6 Maths Chapter 1: Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers help the students who aspire to obtain a good academic score in exams. Experts at CoolGyan’S designed these solutions to boost the confidence of students by assisting them in understanding the concepts covered in this chapter.  NCERT Solutions for Class 6  contains the methods to solve problems present in the book quickly and easily. These materials are prepared based on Class 6 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration.

Utilizing the  NCERT Solutions  will aid students to understand the key concepts effortlessly. Further, all the solutions are in accordance with the latest CBSE guidelines and marking schemes. Download the solutions of this chapter in PDF format from the link attached below to kickstart preparations.

• Chapter 1 Knowing our Numbers
• Chapter 2 Whole Numbers
• Chapter 3 Playing With Numbers
• Chapter 4 Basic Geometrical Ideas
• Chapter 5 Understanding Elementary Shapes
• Chapter 6 Integers
• Chapter 7 Fractions
• Chapter 8 Decimals
• Chapter 9 Data Handling
• Chapter 10 Mensuration
• Chapter 11 Algebra
• Chapter 12 Ratio And Proportion
• Chapter 13 Introduction To Symmetry
• Chapter 14 Practical Geometry
• Exercise 1.1 Chapter 1 Knowing our Numbers
• Exercise 1.2 Chapter 1 Knowing our Numbers
• Exercise 1.3 Chapter 1 Knowing our Numbers

NCERT Solutions for Class 6 Chapter 1: Knowing Our Numbers Download PDF

Access NCERT Solutions for Class 6 Chapter 1: Knowing Our Numbers

Exercise 1.1 PAGE NO: 12

1. Fill in the blanks:

(a) 1 lakh = ………….. ten thousand.

(b) 1 million = ………… hundred thousand.

(c) 1 crore = ………… ten lakh.

(d) 1 crore = ………… million.

(e) 1 million = ………… lakh.

(a) 1 lakh = 10 ten thousand

(b) 1 million = 10 hundred thousand

= 10,00,000

(c) 1 crore = 10 ten lakh

= 1,00,00,000

(d) 1 crore = 10 million

(e) 1 million = 10 lakh

= 1,000,000

2. Place commas correctly and write the numerals:

(a) Seventy three lakh seventy five thousand three hundred seven.

(b) Nine crore five lakh forty one.

(c) Seven crore fifty two lakh twenty one thousand three hundred two.

(d) Fifty eight million four hundred twenty three thousand two hundred two.

(e) Twenty three lakh thirty thousand ten.

(a) The numeral of seventy three lakh seventy five thousand three hundred seven is 73,75,307

(b) The numeral of nine crore five lakh forty one is 9,05,00,041

(c) The numeral of seven crore fifty two lakh twenty one thousand three hundred two is 7,52,21,302

(d) The numeral of fifty eight million four hundred twenty three thousand two hundred two is 5,84,23,202

(e) The numeral of twenty three lakh thirty thousand ten is 23,30,010

3. Insert commas suitably and write the names according to Indian System of Numeration:

(a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701

(a) 87595762 – Eight crore seventy five lakh ninety five thousand seven hundred sixty two

(b) 8546283 – Eighty five lakh forty six thousand two hundred eighty three

(c) 99900046 – Nine crore ninety nine lakh forty six

(d) 98432701 – Nine crore eighty four lakh thirty two thousand seven hundred one

4. Insert commas suitably and write the names according to International System of Numeration:

(a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831

(a) 78921092 – Seventy eight million nine hundred twenty one thousand ninety two

(b) 7452283 – Seven million four hundred fifty-two thousand two hundred eighty three

(c) 99985102 – Ninety-nine million nine hundred eighty five thousand one hundred two

(d) 48049831 – Forty-eight million forty-nine thousand eight hundred thirty-one

Exercise 1.2 PAGE NO: 16

1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Number of tickets sold on 1st day = 1094

Number of tickets sold on 2nd day = 1812

Number of tickets sold on 3rd day = 2050

Number of tickets sold on 4th day = 2751

Hence, number of tickets sold on all the four days = 1094 + 1812 + 2050 + 2751 = 7707 tickets

2. Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

Shekhar scored = 6980 runs

He want to complete = 10000 runs

Runs need to score more = 10000 – 6980 = 3020

Hence, he need 3020 more runs to score

3. In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

No. of votes secured by the successful candidate = 577500

No. of votes secured by his rival = 348700

Margin by which he won the election = 577500 – 348700 = 228800 votes

∴ Successful candidate won the election by 228800 votes

4. Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Price of books sold in June first week = Rs 285891

Price of books sold in June second week = Rs 400768

No. of books sold in both weeks together = Rs 285891 + Rs 400768 = Rs 686659

The sale of books is the highest in the second week

Difference in the sale in both weeks = Rs 400768 – Rs 285891 = Rs 114877

∴ Sale in second week was greater by Rs 114877 than in the first week.

5. Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, 3 each only once.

Digits given are 6, 2, 7, 4, 3

Greatest 5-digit number = 76432

Least 5-digit number = 23467

Difference between the two numbers = 76432 – 23467 = 52965

∴ The difference between the two numbers is 52965

6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Number of screws manufactured in a day = 2825

Since January month has 31 days

Hence, number of screws manufactured in January = 31 × 2825 = 87575

Hence, machine produce 87575 screws in the month of January 2006

7. A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?

Total money the merchant had = Rs 78592

Number of radio sets she placed an order for purchasing = 40 radio sets

Cost of each radio set = Rs 1200

So, cost of 40 radio sets = Rs 1200 × 40 = Rs 48000

Money left with the merchant = Rs 78592 – Rs 48000 = Rs 30592

Hence, money left with the merchant after purchasing radio sets is Rs 30592

8. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?

Difference between 65 and 56 i.e (65 – 56) = 9

The difference between the correct and incorrect answer = 7236 × 9 = 65124

Hence, by 65124, the answer was greater than the correct answer

9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

Total length of the cloth = 40 m

= 40 × 100 cm = 4000 cm

Cloth required to stitch one shirt = 2 m 15 cm

= 2 × 100 + 15 cm = 215 cm

Number of shirts that can be stitched out of 4000 cm = 4000 / 215 = 18 shirts

Hence 18 shirts can be stitched out of 40 m and 1m 30 cm of cloth is left out

10. Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?

Weight of one box = 4 kg 500 g = 4 × 1000 + 500

Maximum weight carried by the van = 800 kg = 800 × 1000

Hence, number of boxes that can be loaded in the van = 800000 / 4500 = 177 boxes

11. The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.

Distance covered between school and house = 1 km 875 m = 1000 + 875 = 1875 m

Since, the student walk both ways.

Hence, distance travelled by the student in one day = 2 × 1875 = 3750 m

Distance travelled by the student in 6 days = 3750 m × 6 = 22500 m = 22 km 500 m

∴ Total distance covered by the student in six days is 22 km and 500 m

12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

Quantity of curd in the vessel = 4 l 500 ml = 4 × 1000 + 500 = 4500 ml

Capacity of 1 glass = 25 ml

∴ Number of glasses that can be filled with curd = 4500 / 25 = 180 glasses

Hence, 180 glasses can be filled with curd.

Exercise 1.3 Page NO: 23

1. Estimate each of the following using general rule:

(a) 730 + 998 (b) 796 – 314 (c) 12904 + 2888 (d) 28292 – 21496

Make ten more such examples of addition, subtraction and estimation of their outcome.

(a) 730 + 998

Round off to hundreds

730 rounds off to 700

998 rounds off to 1000

Hence, 730 + 998 = 700 + 1000 = 1700

(b) 796 – 314

796 rounds off to 800

314 rounds off to 300

Hence, 796 – 314 = 800 – 300 = 500

(c) 12904 + 2888

Round off to thousands

12904 rounds off to 13000

2888 rounds off to 3000

Hence, 12904 + 2888 = 13000 + 3000 = 16000

(d) 28292 – 21496

28292 round off to 28000

21496 round off to 21000

Hence, 28292 – 21496 = 28000 – 21000 = 7000

Ten more such examples are

(i) 330 + 280 = 300 + 300 = 600

(ii) 3937 + 5990 = 4000 + 6000 = 10000

(iii) 6392 – 3772 = 6000 – 4000 = 2000

(iv) 5440 – 2972 = 5000 – 3000 = 2000

(v) 2175 + 1206 = 2000 + 1000 = 3000

(vi) 1110 – 1292 = 1000 – 1000 = 0

(vii) 910 + 575 = 900 + 600 = 1500

(viii) 6400 – 4900 = 6000 – 5000 = 1000

(ix) 3731 + 1300 = 4000 + 1000 = 5000

(x) 6485 – 4319 = 6000 – 4000 = 2000

2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):

(a) 439 + 334 + 4317 (b) 108734 – 47599 (c) 8325 – 491 (d) 489348 – 48365

Make four more such examples.

(a) 439 + 334 + 4317

Rounding off to nearest hundreds

439 + 334 + 4317 = 400 + 300 + 4300

Rounding off to nearest tens

439 + 334 + 4317 = 440 + 330 + 4320

(b) 108734 – 47599

108734 – 47599 = 108700 – 47600

108734 – 47599 = 108730 – 47600

(c) 8325 – 491

8325 – 491 = 8300 – 500

8325 – 491 = 8330 – 490

(d) 489348 – 48365

489348 – 48365 = 489300 – 48400

489348 – 48365 = 489350 – 48370

Four more examples are as follows

(i) 4853 + 662

4853 + 662 = 4800 + 700

4853 + 662 = 4850 + 660

(ii) 775 – 390

775 – 390 = 800 – 400

775 – 390 = 780 – 400

(iii) 6375 – 2875

6375 – 2875 = 6400 – 2900

6375 – 2875 = 6380 – 2880

(iv) 8246 – 6312

8246 – 6312 = 8200 – 6300

8246 – 6312 = 8240 – 6310

3. Estimate the following products using general rule:

(a) 578 × 161

(b) 5281 × 3491

(c) 1291 × 592

(d) 9250 × 29

Rounding off by general rule

578 and 161 rounded off to 600 and 200 respectively

____________

_____________

5281 and 3491 rounded off to 5000 and 3500 respectively

1291 and 592 rounded off to 1300 and 600 respectively

______________

9250 and 29 rounded off to 9000 and 30 respectively

Frequently Asked Questions on NCERT Solutions for Class 6 Maths Chapter 1

What are the topics covered in chapter 1 of ncert solutions for class 6 maths, how many problems are there in each exercise of ncert solutions for class 6 maths chapter 1, what does chapter 1 of ncert solutions for class 6 maths convey.

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Knowing Our Numbers – Chapter 1/Extra Questions for Practice.

by Sanjusha · July 20, 2020

CBSE CLASS 6 MATHEMATICS Knowing Our Numbers – Chapter1 Extra Questions for Practice – Short Answer Type Questions

Answer the following questions (2 marks):

1. Put commas suitably and write the number name in International System of Numeration: 70002509.

2. Write the smallest and greatest 5 digit numbers having 4 in the hundreds place, without repeating any digit.

3. Find the product of smallest 3 digit number and greatest 4 digit number?

4. Estimate i) 423 + 789 to the nearest tens. ii) 852 – 689 to the nearest hundreds.

5. Write the numeral for: i) Nine crore eight lakh five hundred. ii) Seven million six hundred thirty three thousand four hundred fifteen.

6. Find the difference between the greatest and smallest 4 digit number that can be written using the digits 6, 2, 7, 3 each only once.

7. How many hundred thousand makes one million?

8. Write the following in Roman Numerals: i) 94 ii) 198

9. Give the Hindu-Arabic numeral for: i) XCVIII ii) XLIII

10. Find the difference between the place value and face value of 8 in 7894.

1. 70,002,509. Number name: Seventy million two thousand five hundred nine.

2. Smallest number is 10423 and greatest number is 98476.

3. Smallest 3 digit number is 100 and greatest 4 digit number is 9999. Product = 9999 x 100 = 999900.

4. i) 423 rounds off to 420. 789 rounds off to 790. Estimated sum = 420 + 790 = 1210. ii) 852 rounds off to 900. 689 rounds off to 700. Estimated difference = 900 – 700 = 200.

5. i) 9,08,00,500 ii) 7,633,415.

6. Greatest 4 digit number is 9999 and smallest 4 digit number is 1000. Difference = 9999 – 1000 = 8999.

7. 10 hundred thousand makes one million.

8. i) 94 = XCIV ii) 198 = CXCVIII.

9. i) 98 ii) 43

10. Place value of 8 in 7894 is 800 and face value of 8 is 8 itself. Difference = 800 – 8 = 792.

Tags: CBSE Class 6 Maths Class 6 maths chapter1 Extra questions for practice Knowing our numbers Short answer type questions

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Class 6 Knowing our Numbers: Notes, MCQs, Mindmap & Extra Questions & Answers

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Mastering the basics of number-related concepts can help to improve your understanding of mathematics in Class

Knowing your numbers in class 6 chapter 1 NCERT math can be tricky, but it doesn't have to be! With the right resources and practice, you can master the understanding of mathematical problems with ease. Download our notes, multiple choice questions (MCQs), and test prep materials to help you ace the exam and know your numbers like a pro.

Understand Place Value

Place value is an important concept in Math, which helps us to understand the value of each number in a specific place. To understand this concept, you must learn the Positional System which divides numbers into ones, tens, hundreds and so on. Through this system, you can add and subtract larger numbers with ease. It also helps you compare and order larger numbers correctly.

Form and Compare Numbers

Using the Positional System, you can form and compare multiple digit numbers. To Raju, a number like 435 can be broken down into hundreds, tens, and ones. This makes it easier to compare numbers since each digit in a number is compared with the corresponding position from an other number in the same question. For example when comparing 435 to 463, you can look at their hundreds place first which is 4 for both numbers and then immediately conclude that 463 is greater than 435 because 6 is greater than 5.

Addition of Two or More digit numbers

Adding two or more digits can easily be done by adding the numbers in each place value column. For example, if you were to add 435 and 463, all you need to do is add the numbers in each column starting from the rightmost digit and moving towards the left. 400 + 400 = 800, 3 + 6 = 9, thereby making 899 as your answer. This method of addition works for any number of digits as long as they are lined up correctly according to their place values.

Subtraction of Two or More digit numbers

Subtraction of two or more numbers is done using the same method as adding two or more numbers. You simply need to subtract the number in each column starting from rightmost and moving towards the left, like so 500 – 200 = 300, 3 - 6 = -3, resulting in 297 as your answer. This technique works for any number of digits. Take note that if you are subtracting a larger number from a smaller one, you will be left with a negative answer.

Knowing our numbers class 6 is a fundamental topic that introduces students to the fascinating world of numbers and lays the foundation for more advanced mathematical concepts. This comprehensive SEO-based paragraph delves into various aspects of the subject, including knowing our numbers class 6 worksheets, PDFs, questions and answers, notes, test papers, extra questions, MCQs, and more. With a focus on providing students with the necessary resources to master this topic, we aim to make the learning experience enjoyable and engaging.

The knowing our numbers class 6 worksheet is an essential tool for students to practice and reinforce their understanding of numbers. These worksheets encompass a wide range of exercises that involve working with large numbers, understanding place value, comparing and ordering numbers, rounding, and estimation. Available in PDF format, the knowing our numbers class 6 worksheet with answers PDF enables students to easily access and practice these exercises, ensuring a thorough understanding of the topic.

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Students looking to challenge themselves further can delve into knowing our numbers class 6 extra questions and knowing our numbers class 6 MCQs. These resources offer additional practice opportunities, enabling students to develop their problem-solving skills and excel in their studies. The assignment on knowing our numbers class 6 serves as a useful tool for students to consolidate their learning and apply their understanding of numbers to real-world scenarios.

For students who prefer learning in Hindi, knowing our numbers meaning in Hindi and knowing our numbers in Hindi resources are available to cater to their learning preferences. These resources cover the same topics and concepts as the English versions, ensuring that all students have access to high-quality educational materials.

The maths knowing our numbers worksheet class 6 is another valuable resource for students seeking additional practice opportunities. Similar to other worksheets, these resources cover a range of topics and exercises to help students develop a thorough understanding of numbers.

For a more visual learning experience, the knowing our numbers class 6 mindmap serves as a helpful tool for students to visualize the relationships between different concepts within the topic. By using the mind map, students can quickly recall important ideas and better prepare for examinations.

What is the importance of knowing our numbers in class 6? Knowing our numbers in class 6 is important because it helps students understand the basics of numbers, place values, number systems, rounding, and estimation, which are fundamental concepts in mathematics.

What is place value? Place value is the value of a digit in a number based on its position. Each position in a number has a specific place value, such as ones, tens, hundreds, thousands, and so on.

What are the different number systems? The different number systems include the Hindu-Arabic numeral system (also known as the decimal system), the Roman numeral system, and the binary system, among others. The decimal system is the most widely used number system.

What is rounding? Rounding is the process of approximating a number to a specific degree of accuracy, usually to the nearest whole number, ten, hundred, and so on.

Click here to download rounding off to the nearest 10 worksheet

What is estimation? Estimation is the process of finding an approximate value or quantity based on available information or data. It is useful for making quick calculations and determining approximate answers without carrying out exact calculations.

How can students practice knowing our numbers in class 6? Students can practice knowing our numbers through various resources, such as worksheets, questions and answers, test papers, MCQs, and extra questions at witknowlearn

Are there any resources available for students who prefer learning in Hindi? Yes, there are resources available in Hindi, such as knowing our numbers meaning in Hindi and knowing our numbers in Hindi, which cover the same topics and concepts as the English versions.

What is a mindmap, and how does it help in learning knowing our numbers in class 6? A mindmap is a visual representation of information that shows the relationships between different concepts. In the context of knowing our numbers in class 6, a mindmap can help students visualize the connections between different ideas, making it easier to recall important concepts and prepare for examinations.

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Chapter 1 Knowing Our Numbers Class 6 Notes Maths

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• ML Aggarwal Solutions
• ML Aggarwal Class 6 Solutions
• Class 6 Maths Chapter 1

ML Aggarwal Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

ML Aggarwal Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers are given here. For students who find difficulty in getting the most comprehensive and detailed solutions, ML Aggarwal Solution s is the best study material. We, at BYJU’S, have prepared step-by-step solutions for students to learn effortlessly. They can either practise online or download these files in PDFs and solve different types of questions related to this chapter and achieve maximum marks in the annual examination.

Chapter 1 – Knowing Our Numbers is based on representing or expressing numbers of a certain type, known as the number system. Now, let us have a look at some of the concepts discussed in the ML Aggarwal Solutions for Class 6 Maths Chapter 1, which include reading and writing large numbers, comparing large numbers, the Indian System of Numeration, and the International System of Numeration.

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Access Answers to ML Aggarwal Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

1. Write the smallest natural number. Can you write the largest natural number?

The smallest natural number is 1.

We cannot write the largest natural number because it is infinite.

2. Fill in the blanks: (i) 1 lakh = … ten thousand (ii) 1 million = … hundred thousand (iii) 1 crore = … ten lakh (iv) 1 billion =… hundred million

(i) 1 lakh = 10 ten thousand

(ii) 1 million = 10 hundred thousand

(iii) 1 crore = 10 ten lakh

(iv) 1 billion = 10 hundred million

3. Insert commas suitably and write each of the following numbers in words in the Indian system and the International system of numeration. (i) 506723 (ii) 180018018 Solution: Indian system

(i) 506723 = 5,06,723

Five lakh six thousand seven hundred and twenty three.

(ii) 180018018 = 18,00,18,018

Eighteen crore eighteen thousand and eighteen.

International system

(i) 506723 = 506,723

Five hundred six thousand seven hundred and twenty three.

(ii) 180018018 = 180,018,018

One hundred eighty million eighteen thousand and eighteen.

4. Write the following numbers in expanded form: (i) 750687 (ii) 5032109 Solution: Given numbers can be written in expanded form as,

(i) 750687 = 700000 + 50000 + 600 + 80 + 7

(ii) 5032109 = 5000000 + 30000 + 2000 + 100 + 9

5. Write the following number in figures: (i) Seven lakh three thousand four hundred twenty. (ii) Eighty crore twenty three thousand ninety three. Also, write the above numbers in the place value chart. Solution: (i) 7,03,420

(ii) 80,00,23,093

By using the place value chart,

6. Write each of the following numbers in numeral form and place commas correctly: (i) Seventy three lakh seventy five thousand three hundred seven. (ii) Nine crore five lakh forty one. (iii) Fifty eight million four hundred twenty three thousand two hundred two. Solution: (i) 73,75,307

(ii) 9,05,00,041

(iii) 58,423,202

7. Write the face value and place value of the digit 6 in the number 756032. Solution: 756032

Face value of 6 = 6

Place value = 6000

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