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NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

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NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

Edited By Ramraj Saini | Updated on Nov 29, 2023 12:36 PM IST

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers are discussed here in detailed. Numbers are very important for real life as well as for Mathematics. In NCERT textbook for Class 6 chapter 1, students can learn Indian arrangement of numeration, the universal arrangement of numeration, learn large numbers up to 1 crore (10000000), estimation of large numbers and roman numerals. CBSE NCERT Solutions for Class 6 Maths are covering the solutions for the problems from all the concepts. In NCERT Solutions for Class 6 Math chapter 1, there is a total of 19 questions in 3 exercises.

NCERT 6th Class solutions are covering all the answers or solutions in a very comprehensive manner. CBSE NCERT solutions for Class 6 Maths chapter 1 also provides assistance in solving the practice problems. Along with NCERT Class 6 Maths solutions, students can check the NCERT solutions for other subjects prepared based on NCERT syllabus.

NCERT Solutions for Class 6 Maths Chapter 1 - Important Formula

  1. Natural numbers: 1, 2, 3, 4, and so forth.

  2. Sum of first n natural numbers = n(n+1)/2

  3. A number is formed by combining digits, which can only be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.

  4. Place Value of a digit in a number = Face Value × Position Value

  5. When comparing two numbers, the one with more digits is always greater. If two numbers have the same digit, the comparison starts from the leftmost digit.

  6. To create the smallest number, begin with 1 in the leftmost position and add zeroes. For instance, the smallest four-digit number is 1000.

  7. To create the largest number, start with 9 in the leftmost position. For example, the largest four-digit number is 9999.

  8. There are specific quantity weights for conversions, such as:

  • 1 kilometre (km) = 1000 metres (m)

  • 1 metre (m) = 100 centimetres (cm)

  • 1 centimetre (cm) = 10 millimetres (mm)

  • 1 kilogram (kg) = 1000 grams (gm)

  • 1 litre (l) = 1000 millilitres (ml)

  1. Roman numerals are another system of representation, where each symbol corresponds to a specific value:

  • I – 1

  • II – 2

  • V – 5

  • X – 10

  • L – 50

  • C – 100

  • D – 500

  • K – 1000

In Roman numerals, you can perform subtraction or addition by placing the desired quantity to the left or right. For example, 21 can be written as XXI, and 49 can be written as ILIX.

NCERT Solutions for Class 6 Maths Chapter 1 - Important Topics

Place Value: Place value refers to the value of a digit based on its position in a number. It helps understand the significance of each digit and determines the overall value of a number.

Comparing Numbers: Comparing numbers involves determining the relationship between two or more numbers, whether they are equal, greater than, or less than each other. It helps in understanding the order and magnitude of numbers.

Estimation: Estimation is the process of making approximate calculations or predictions based on available information. It helps in getting a quick idea of the magnitude or value of a number or quantity without performing precise calculations.

Rounding Off: Rounding off involves approximating a number to a specified place value. It simplifies numbers and makes them easier to work with by reducing the number of digits while retaining a reasonable degree of accuracy.

Brackets: Brackets are symbols used in mathematical expressions to indicate grouping or prioritizing operations. They help in clarifying the order of operations and ensure correct calculation.

Roman Numerals: Roman numerals are a numeral system used in ancient Rome. They use specific symbols to represent different values, such as I, V, X, L, C, D, and M. Understanding Roman numerals helps in interpreting historical dates, numbering lists, and understanding some traditional numeral systems.

Free download NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers PDF for CBSE Exam.

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

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NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers (Intext Questions and Exercise)

Knowing Our Numbers Class 6 NCERT Topic-Comparing Numbers

Q1 Can you instantly find the greatest and the smallest numbers in each row?
2. 1473, 89423, 100, 5000, 310
3. 1834, 75284, 111, 2333, 450
4. 2853, 7691, 9999, 12002, 124

Answer: By Observing the number of digits and digit in the leftmost place can straight away tell us about the greatest and smallest number

(2) 1473, 89423, 100, 5000, 310

89423 is the greatest while 100 is the smallest

(3) 1834, 75284, 111, 2333, 450

75284 is the greatest 111 while is the smallest

(4) 2853, 7691, 9999, 12002, 124

12002 is the greatest while 124 is the smallest

Q2 Find the greatest and the smallest numbers.
(a) 4536, 4892, 4370, 4452
(b) 15623, 15073, 15189, 15800
(c) 25286, 25245, 25270, 25210
(d) 6895, 23787, 24569, 24659

Answer:

(a) 4536, 4892, 4370, 4452

4892 is the greatest while 4370 is the smallest

(b) 15623, 15073, 15189, 15800

15800 is the greatest while 15073 is the smallest
(c) 25286, 25245, 25270, 25210

25286 is the greatest while 25245 is the smallest
(d) 6895, 23787, 24569, 24659

24659 is the greatest while 6895 is the smallest

Knowing Our Numbers Class 6 NCERT Topic: Number Formation

Q1 Use the given digits without repetition and make the greatest and smallest 4-digit numbers.
(a) 2, 8, 7, 4
(b) 9, 7, 4, 1
(c) 4, 7, 5, 0
(d) 1, 7, 6, 2
(e) 5, 4, 0, 3

Answer:

(a) 2, 8, 7, 4

8742 is the greatest while 2478 is the smallest

(b) 9, 7, 4, 1

9741 is the greatest 1479 while is the smallest

(c) 4, 7, 5, 0

4750 is the greatest while 4057 is the smallest

(d) 1, 7, 6, 2

7621 is the greatest while 1267 is the smallest

(e) 5, 4, 0, 3

5430 is the greatest while 3045 is the smallest

Q2 Now make the greatest and the smallest 4-digit numbers by using any one digit twice.
(a) 3, 8, 7
(b) 9, 0, 5
(c) 0, 4, 9
(d) 8, 5, 1

Answer:

(a) 3, 8, 7

8873 is the greatest while 3387 is the smallest

(b) 9, 0, 5

9950 is the greatest while 5009 is the smallest

(c) 0, 4, 9

9940 is the greatest while 4009 is the smallest

(d) 8, 5, 1

8851 is the greatest while 1158 is the smallest

Q3 Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.

(a) Digit 7 is always at one's place
Greatest - 9 8 6 7
Smallest - 1 0 2 7
(Note, the number cannot begin with the digit 0. Why?)

(b) Digit 4 is always at tens place
Greatest - _ _ 4 _
Smallest - _ _ 4 _

(c) Digit 9 is always at hundreds place
Greatest - _ 9 _ _
Smallest - _ 9 _ _
(d) Digit 1 is always at thousands place
Greatest- 1 _ _ _
Smallest - 1 _ _ _

Answer:

(b) Digit 4 is always at tens place
Greatest - 98 47
Smallest - 10 42

(c) Digit 9 is always at hundreds place
Greatest - 8 976
Smallest - 1 902


(d) Digit 1 is always at thousands place
Greatest- 1987
Smallest - 1023

Q4 Take two digits, say 2 and 3. Make 4-digit numbers using both the digits an equal number of times.
Which is the greatest number?
Which is the smallest number?
How many different numbers can you make in all?

Answer:

Greatest number - 3322

Smallest number - 2233

Different numbers are

2222, 2232, 2233, 2322, 2333, 2332, 2323, 2223, 3222, 3223, 3232, 3233, 3322, 3333, 3332, 3323

There are 16 in total

Solutions For Knowing Our Numbers Class 6 NCERT Topic: Arrangement of Numbers

Q1 Arrange the following numbers in ascending order :
(a) 847, 9754, 8320, 571
(b) 9801, 25751, 36501, 38802

Answer:

(a) 847, 8320, 8320, 571

571 < 847 < 8320 < 8320

(b) 9801, 25751, 25751, 38802

9801 < 25751 < 25751 < 38802

Q2 Arrange the following numbers in descending order :
(a) 5000, 7500, 85400, 7861
(b) 1971, 45321, 88715

Answer:

(a) 5000, 7500, 85400, 7861

85400 > 7861 > 5000 > 75000


(b) 1971, 45321, 88715

88715 > 45321 > 1971

Solutions For Knowing Our Numbers Class 6 NCERT Topic-Revisiting Place Value

Q1 Read and expand the numbers wherever there are blanks.

1. 50000- ________________________________________
2. 41000- ________________________________________
3. 47300- ________________________________________
4. 57630- ________________________________________

5. 29485________________________________________
6. 29085________________________________________

Answer:

1. 50000-Fifty thousand
2. 41000-forty one thousand
3. 47300- forty-seven thousand and three hundred
4. 57630- fifty-seven thousand six hundred

5. 29485- twenty-nine thousand and four hundred eighty-five
6. 29085- twenty-Nine Thousand and Eighty-Five

Q2 Read and expand the numbers wherever there are blanks.

4,57,928 _______________ _______________

4,07,928 _______________ _______________

4,00,829 _______________ _______________

4,00,029 _______________ _______________

Answer:

4,57,928 Four Lakhs Fifty Seven Thousand and Nine Hundred Twenty Eight

4,07,928 Four Lakhs Seven Thousand and Nine Hundred Twenty-Eight

4,00,829 Four Lakhs Eight Hundred Twenty-Nine

4,00,029 Four Lakhs and Twenty-Nine

NCERT Solutions for Class 6 Maths Chapter 1 - Exercise 1.1

Q1 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.

Answer:

Let us take this as a physical world problem:

You went to a shop and you bought a toy of Rs. 100. You checked your pocket and found many notes but of only Rs.10

How many Rs.10 notes will you give to shopkeeper:

Well, it’s simple.

You will pay 10 notes.

How?

100/10 =10

The similar easy approach can be done in all the blanks,

Hint: Always remember to keep your eyes on a number of zeros

(a)1 lakh= 100000

1thousand= 1000

Ten thousand= 10*1000 = 10000

Therefore,

1 lakh/ 10 thousand =100000/10000 =10

So, 1lakh= 10 ten thousand

(b) 1 million= 1000000

1thousand= 1000

Hundred thousand= 100*1000 = 100000

Therefore,

1 million/ hundred thousand =1000000/100000 =10

So, 1milion= 10 hundred thousand

(c) 1 crore= 10000000 (7 zeros)

1lakh= 100000 (5 zeros)

Ten lakh= 10*1000 = 1000000( 6 zeros)

Therefore,

1 crore/ Ten lakh=10000000/1000000 =10

So, 1 crore= 10 Ten lakh

(d)1 crore= 10000000 (7 zeros)

1million= 100000 (6 zeros)

Therefore,

1 crore/ 1million=10000000/1000000 =10

So, 1 crore= 10 million

(e) 1 million= 1000000

1lakh= 100000

Therefore,

1million/ 10 lakh = 1000000/100000 =10

So, 1 million= 10 lakhs

See, all answers came out to be 10 but not everytime

Q2 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.

Answer:

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

73,75,307

(b) Nine crore five lakh forty one.

9,05,00,041

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

7,52,21,302

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

58,423,302

(e) Twenty three lakh thirty thousand ten.

23,30,010

Q3 Insert commas suitably and write the names according to Indian System of Numeration :

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

Answer:

(a) 8,75,95,762 : Eight crores seventy five lakhs ninety five thousand seven hundred sixty two

(b) 85,46,283 : Eighty five lakhs forty six thousand two hundred eighty three.

(c) 9,99,00,046 : Nine crores ninety nine lakhs and forty six.

(d) 9,84,32,701 : Nine crores eighty four lakhs thirty two thousand seven hundred and one.

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers: Large Numbers in Practise

Q1 A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms? Answer:

Number of medicine tablets = 2,00,000

Weight of each medicine tablet = 20\ mg = \frac{20}{1000}\ g

Therefore, total weight = 2,00,000\times\frac{20}{1000}\ g

= 4,000\ g

= 4\ kg

NCERT Solutions for Class 6 Maths Chapter 1 - Exercise 1.2

Q1 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.

Answer: Given,

  • Tickets sold on the first day of exhibition = 1094
  • Tickets sold on the second day = 1812
  • Tickets sold on the third day = 2050
  • Tickets sold on the last day = 2751
  • Total number of tickets sold =

\\ = 1094 + 1812 + 2050 + 2751 \\ = 7707

Total number of tickets sold = 7,707


Q2 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?

Answer:

The number of runs scored by Shekhar so far = 6980

The number of runs Shekhar wishes to score = 10,000

\therefore The number of runs required = 10,000 - 6,980

= 3,020\ runs

Therefore, Shekhar requires 3,020\ runs .

Q3 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?

Answer: Given,

Number of votes registered by the successful candidate = 5, 77,500 votes

Number of votes registered by the rival candidate = 3, 48,700 votes

The margin = 5,77,500 - 3,48,700

= 2,28,800\ votes

Therefore, the successful candidate won the election by a margin of 2, 28,800 votes.

Q4 Kirti bookstore sold books worth 2,85,891 in the first week of June and books worth 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?

Answer: Given,

Worth of books sold in the first week = Rs \ 2,85,891

Worth of books sold in the second week = Rs\ 4, 00,768

Total sale in the two weeks = Rs. \ (2, 85,891 + 4, 00,768)

= Rs. \ 6, 86,659

Clearly, sales in the second week is greater than the first year by

Rs.\ (4, 00,768 - 2, 85,891) = Rs.\ 1, 14,877

Q5 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.

Answer:

Given, digits: 6, 2, 7, 4 and 3

Since, the digits have to be used only once, arrange them in ascending and descending order to get the minimum and maximum number.

Greatest number = 76,432

Smallest number = 23,467

\therefore The difference between the greatest and the least number
\\ = 76,432 - 23,467 \\ = 52,965

Q6 A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Answer:

Given,
Screws produced by machine in one day = 2, 825

We know, there are 31 days in January

\therefore Screws produced in 31 days = 2, 825 \times 31

= 87,575\ screws

Therefore, screws produced in January 2006 = 87,575

Q7 A merchant had rupees 78,592 with her. She placed an order for purchasing 40 radio sets at rupees 1200 each. How much money will remain with her after the purchase?

Answer:

Total money merchant has = Rs.\ 78, 592

Cost of one radio set = Rs.\ 1200

\therefore Cost of 40 radio sets = Rs.\ (1200 \times 40 )= Rs.\ 48,000

\therefore Money left with the merchant = Rs.\ (78,592 - 48,000) = Rs. \ 30,592

Therefore, money left with her after purchase = Rs. \ 30,592

Q8 A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

Answer: Given,

The student multiplied 7236\ by\ 65 instead of 56 .

Wrong answer = 7236 \times 65

Correct answer = 7236 \times 56

\therefore The difference in the answers = 7236 \times 65 - 7236 \times 56

= 7236 \times (65 - 56) = 7236 \times 9

= 65124

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

Ques 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? (Hint: convert data in cm.)

Answer: We know, (1\ m = 100\ cm)

Given,

Length of cloth required to stitch a shirt = 2\ m\ 15\ cm = 215\ cm

Also, 40\ m = (40\times100)\ cm = 4000\ cm

Now, the cloth required for one shirt = 215\ cm

Number of shirts that can be stitched out = 4000\div215

4000 = (18\times215) + 130

Therefore, 18 shirts can be made from the given cloth.

And, 130\ cm = 1\ m\ 30\ cm cloth will remain unused.

Ques 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?

Answer- We know, (1\ kg = 1000\ g)

Weight of each medicine box= 4\ kg\ 500\ g = 4500\ g

Weight limit of the van = 800\ kg = (800\times1000)\ g = 8,00,000\ g

\therefore The number of boxes that can be loaded in the van = 800000\div4500

800000 = (4500\times177) + 3500

Hence, 177 boxes can be loaded in the van.

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

Answer: We know, (1\ km = 1000\ m)

Given, - Distance between the school and her house = 1\ km\ 875\ m = 1875\ m

The distance she covers each day = [(1875\times2)\times6]\ m

(1875\times12)\ m = 22500\ m

= 22000\ m\ 500\ m = 22\ km\ 500\ m

Therefore, she will cover 22\ km\ 500\ m in six days.

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

Answer:

We know, (1\ l = 1000\ ml)

Given, Capacity of vessel = 4\ l\ 500\ ml = 4500\ ml

The capacity of a single glass = 25\ ml

\therefore Number of glasses required to fill the vessel = 4500\div25

4500 = (180\times25)+0

Hence, 180 glasses are needed to fill the vessel completely.

NCERT Solutions for Class 6 Maths Chapter 1 - Estimating to the Nearest Thousand Rounding Off

Ques- 1 Round off the given numbers to the nearest tens, hundreds and thousands.

Given Number Approximate to Nearest Rounded Form
75847 Tens ________________
75847 Hundreds ________________
75847 Thousands ________________
75847 Ten thousands ________________

Answer:

Given Number
Approximate to Nearest
Rounded Form
75847
Tens
75850
75847
Hundreds
75800
75847
Thousands
76000
75847
Ten thousands
80000


NCERT Solutions for Class 6 Maths Chapter 1 - Exercise 1.3

Ques 1- Estimate each of the following using general rule
(a) 730 + 998 (b) 796 – 314 (c) 12,904 +2,888 (d) 28,292 – 21,496

Answer:

(a) 730 + 998
By rounding off to hundreds,

730 rounds off to 700,

998 rounds off to 1000.

Required sum = 700+1000

= 1700

(b) 796-314

By rounding off to hundreds,

796 rounds off to 800,

314 rounds off to 300.

Required difference = 800-300

= 500

(c) 12904+2822

By rounding off to thousands,

2904 rounds off to 13000,

2822 rounds off to 3000.

Required sum = 13000+3000

= 16000

(d) 28,296 - 21, 496

By rounding off to nearest thousands,

28,296 rounds off to 28000,

21,496 rounds off to 21,000

Required difference = 28,000 - 21,000

= 7,000

Q2 Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens) :
\\(a) 439 + 334 + 4,317 \\\\(b) 1,08,734 - 47,599 \\\\ (c) 8325- 491 \\\\ (d) 4,89,348 � 48,365

Answer:

(a) 439 + 334 + 4,317

Rounding off to nearest hundreds,

439 rounds off to 400

334 rounds off to 300

4317 rounds off to 4300,

Required sum = 400+300+4300

= 5000

Again, by rounding off to nearest tens,

439 rounds off to 440

334 rounds off to 330

4317 rounds off to 4320,

Required sum = 440+330+4320

= 5090

(b) 1,08,734 - 47,599

Rounding off to nearest hundreds,

1, 08,734 rounds off to 1, 08,700

47,599 rounds off to 47,600

Required difference = 1, 08,700 - 47,600

= 61100

Also, rounding off to nearest tens,

1, 08,734 rounds off to 1, 08,730

47,599 rounds off to 47,600

Required difference = 1, 08,730 - 47,600

= 61130

(c) 8325 - 491

Rounding off to nearest hundreds,

8325 rounds off to 8300

491 rounds off to 500

Required difference = 8300 - 500

= 7800

Also, rounding off to nearest tens,

8325 rounds off to 8330

491 rounds off to 490

Required difference = 8330 - 490

= 7840

(d) 4,89,348 - 48,365

Rounding off to nearest hundreds,

4,89,348 rounds off to 4,89,300

48,365 rounds off to 48,400

Required difference = 489300 - 48400

= 440900

Also, rounding off to nearest tens,

4,89,348 rounds off to 4,89,350

48,365 rounds off to 48,370

Required difference = 489350 - 48370

= 440980


Ques 3- Estimate the following products using the general rule:
(a) 578 × 161 (b) 5281 × 3491 (c) 1291 × 592 (d) 9250 × 29

Answer:

(a) 578\times161

Rounding off by general rule,

578 rounds off to 600

161 rounds off to 200,

Required product = 600\times200

= 120000

(b) 5281\times3491

Rounding off by the general rule,

5281 rounds off to 5000

3491 rounds off to 3500

Required product = 5000\times3500

= 1,75,00,000

(c) 1291\times592

Rounding off by general rule,

1291 rounds off to 1300

592 rounds off to 600

Required product = 1300\times600

= 780000

(d) 9250\times29

Rounding off by general rule,

9250 rounds off to 10000

29 rounds off to 30Required product = 10000 \times 30

= 300000

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

Ques 1- Write the expressions for each of the following using brackets.
(a) Four multiplied by the sum of nine and two.
(b) Divide the difference of eighteen and six by four.
(c) Forty five divided by three times the sum of three and two.

Answer:

(a) Four multiplied by the sum of nine and two.

= 4\times(9+2) = 4\times11 = 44
(b) Divide the difference of eighteen and six by four.

= \frac{18-6}{4} = \frac{12}{4} = 3
(c) Forty-five divided by three times the sum of three and two.

= \frac{45}{3(3+2)}

= \frac{45}{15} = 3


Ques 2- Write in Roman numerals.
1. 73
2. 92

Answer: In Roman numerals:
\\ 1.\ 73 - LXXIII \\ 2.\ 92 - XCII


NCERT Solutions for Class 9 - Subject Wise

NCERT Solutions for Class 6 Maths Chapter 1 - Topics

1.1 Introduction

1.2 Comparing Numbers

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

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

1.5 Roman Numerals

NCERT Solutions for Class 6 Maths - Chapter-Wise

Chapters No.

Chapters Name

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

Symmetry

Chapter -14

Practical Geometry

Key features of NCERT Solutions for Class 6 Maths chapter 1

Expertly Crafted Solutions: The NCERT Solutions for Chapter 1 are carefully developed to provide clear and accurate explanations to all the problems and concepts discussed in the chapter.

Conceptual Clarity: The NCERT maths book class 6 chapter 1 solutions aim to enhance the conceptual understanding of students by breaking down complex topics into simpler and more understandable explanations.

Comprehensive Coverage: The maths class 6 chapter 1 cover all the important topics and subtopics of Chapter 1, ensuring that students have a complete understanding of the chapter.

Exam-Focused Approach: The ncert class 6 maths chapter 1 are designed with an exam-focused approach, providing students with the necessary tools and techniques to tackle questions effectively and score well in exams.

Also Check -

NCERT Books and NCERT Syllabus

Frequently Asked Question (FAQs)

1. What are the features of NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers provide a comprehensive and student-friendly approach to learning mathematics, helping students build a strong foundation in the subject. There are 3 exercise including exercise 1 which has 4 questions, exercise 2 that has 12 questions and exercise 3 that has 3 questions. Students can practice these exercise to command the concepts.

2. How to download Class 6 Maths NCERT solutions for Chapter 1?

Knowing Our Numbers is an important chapter from NCERT syllabus of Class 6. Students can download Knowing Our Numbers solutions to use it offline. they can study knowing our numbers class 6 pdf after download. On clicking the download button the complete page will be downloaded and can be used for offline preparation. 

3. What are topics are covered in class 6 maths ncert solutions chapter 1?


ncert class 6 maths chapter 1 solutions covers the following topics:

  1. Introduction to numbers
  2. Comparing numbers
  3. Ascending order and descending order
  4. Forming numbers using digits
  5. Shifting digits
  6. Place value
  7. Larger numbers and estimates
  8. Estimating sum or difference
  9. Estimating products of numbers
  10. BODMAS
  11. Using brackets

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0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

Bio Medical Engineer

The field of biomedical engineering opens up a universe of expert chances. An Individual in the biomedical engineering career path work in the field of engineering as well as medicine, in order to find out solutions to common problems of the two fields. The biomedical engineering job opportunities are to collaborate with doctors and researchers to develop medical systems, equipment, or devices that can solve clinical problems. Here we will be discussing jobs after biomedical engineering, how to get a job in biomedical engineering, biomedical engineering scope, and salary. 

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Data Administrator

Database professionals use software to store and organise data such as financial information, and customer shipping records. Individuals who opt for a career as data administrators ensure that data is available for users and secured from unauthorised sales. DB administrators may work in various types of industries. It may involve computer systems design, service firms, insurance companies, banks and hospitals.

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Ethical Hacker

A career as ethical hacker involves various challenges and provides lucrative opportunities in the digital era where every giant business and startup owns its cyberspace on the world wide web. Individuals in the ethical hacker career path try to find the vulnerabilities in the cyber system to get its authority. If he or she succeeds in it then he or she gets its illegal authority. Individuals in the ethical hacker career path then steal information or delete the file that could affect the business, functioning, or services of the organization.

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Data Analyst

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

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Geothermal Engineer

Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

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Remote Sensing Technician

Individuals who opt for a career as a remote sensing technician possess unique personalities. Remote sensing analysts seem to be rational human beings, they are strong, independent, persistent, sincere, realistic and resourceful. Some of them are analytical as well, which means they are intelligent, introspective and inquisitive. 

Remote sensing scientists use remote sensing technology to support scientists in fields such as community planning, flight planning or the management of natural resources. Analysing data collected from aircraft, satellites or ground-based platforms using statistical analysis software, image analysis software or Geographic Information Systems (GIS) is a significant part of their work. Do you want to learn how to become remote sensing technician? There's no need to be concerned; we've devised a simple remote sensing technician career path for you. Scroll through the pages and read.

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Geotechnical engineer

The role of geotechnical engineer starts with reviewing the projects needed to define the required material properties. The work responsibilities are followed by a site investigation of rock, soil, fault distribution and bedrock properties on and below an area of interest. The investigation is aimed to improve the ground engineering design and determine their engineering properties that include how they will interact with, on or in a proposed construction. 

The role of geotechnical engineer in mining includes designing and determining the type of foundations, earthworks, and or pavement subgrades required for the intended man-made structures to be made. Geotechnical engineering jobs are involved in earthen and concrete dam construction projects, working under a range of normal and extreme loading conditions. 

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Cartographer

How fascinating it is to represent the whole world on just a piece of paper or a sphere. With the help of maps, we are able to represent the real world on a much smaller scale. Individuals who opt for a career as a cartographer are those who make maps. But, cartography is not just limited to maps, it is about a mixture of art, science, and technology. As a cartographer, not only you will create maps but use various geodetic surveys and remote sensing systems to measure, analyse, and create different maps for political, cultural or educational purposes.

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Budget Analyst

Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.

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The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

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Investment Banker

An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.

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Underwriter

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

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Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.

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Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

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Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.

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Speech Therapist
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Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

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Radio Jockey

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A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

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Social Media Manager

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Copy Writer

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Journalist

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For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

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Vlogger

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Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article. 

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Linguistic meaning is related to language or Linguistics which is the study of languages. A career as a linguistic meaning, a profession that is based on the scientific study of language, and it's a very broad field with many specialities. Famous linguists work in academia, researching and teaching different areas of language, such as phonetics (sounds), syntax (word order) and semantics (meaning). 

Other researchers focus on specialities like computational linguistics, which seeks to better match human and computer language capacities, or applied linguistics, which is concerned with improving language education. Still, others work as language experts for the government, advertising companies, dictionary publishers and various other private enterprises. Some might work from home as freelance linguists. Philologist, phonologist, and dialectician are some of Linguist synonym. Linguists can study French, German, Italian

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Public Relation Executive
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QA Manager
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A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

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Azure Administrator

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems. 

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An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party. 

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QA Manager
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Computer Programmer

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A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

3 Jobs Available
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