NCERT Solutions For Class 6 Maths Chapter 1 Knowing Our Numbers Free Pdf Download

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

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers help students to understand the concept related to numbers. In ncert class 6 maths chapter 1 solution you learn the relation between numbers. We provide NCERT Solutions for all classes. You can also check NCERT Solutions for class 6 maths for all chapters.

NCERT Solutions provided at “Mentor At Home” is provided by our subject matter expert. We refer CBSE syllabus while preparing Class 6 solutions And Notes.

In ncert solutions of class 6 maths chapter 1 Knowing our Numbers, we discuss all the questions given in Ncert maths books pdf. In this chapter, there are three exercises in which we discuss different topics like Use of Brackets, the use of Roman numbers, questions related to rounding off and estimations etc.

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Here we provide NCERT solutions of class 6 maths chapter 1 exercise 1.1. If you want to see solutions of other chapters you can check them by the above links.

NCERT Solutions for class 6 maths chapter 1 Exercise 1.1

In NCERT Class 6 Maths Chapter 1 Solutions Exercise 1.1 we learn different topics. class 6 maths chapter 1 questions and answers are related to Comparing numbers with other numbers, shifting the digits, use of place value and face value, Use of commas etc.

NCERT Solution for class 6 maths chapter 1 Exercise 1.1:- PAGE NO: 12

Q.1. Fill in the blanks:

(a) 1 lakh = ………….. ten thousand.
Ans:- 1 lakh = 10 ten thousand = 1,00,000
(b) 1 million = ………… hundred thousand.
ans:-1 million = 10 hundred thousand = 10,00,000
(c) 1 crore = ………… ten lakh.
Ans:-(c) 1 crore = 10 ten lakh= 1,00,00,000
(d) 1 crore = ………… million.
Ans:-1 crore = 10 million = 1,00,00,000
(e) 1 million = ………… lakh.
Ans:-1 million = 10 lakh = 1,000,000

Q.2.Place commas correctly and write the numerals:

(a) Seventy-three lakh seventy-five thousand three hundred seven.
Ans:-73,75.307
(b) Nine crore five lakh forty-one.
Ans:-9,05,00,041
(c) Seven crore fifty-two lakh twenty-one thousand three hundred two.
Ans:-7,52,21,302
(d) Fifty-eight million four hundred twenty- three thousand two hundred two.
Ans:-5,84,23,202
(e) Twenty-three lakh thirty thousand ten.
Ans:-23,30,010

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

(a) 87595762 
Ans:- 8,75,95,762 (Eight crore seventy-five lakh ninety-five thousand seven hundred sixty- two)
(b) 8546283
Ans:- 85,46,283 (Eighty-five lakh forty-six thousand two hundred eighty-three)
(c) 99900046
Ans:-9,99,00,046 (Nine crore ninety-nine lakh forty-six)
(d) 98432701
Ans:- 9,84,32,701 (Nine crores eighty-four lakh thirty-two thousand seven hundred one)

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

(a) 78921092
Ans:78,921,092 (Seventy-eight million nine hundred twenty-one thousand ninety-two)
(b) 7452283
Ans:-7,452,283 (Seven million four hundred fifty- two thousand two hundred eighty-three)
(c) 99985102
Ans:- 99,985,102 (Ninety-nine million nine hundred eighty-five thousand one hundred two)
(d) 48049831
Ans:- 48,049,831 (Forty-eight million forty-nine thousand eight hundred thirty-one)

You can Also, check Class 6 maths NCERT solutions

Maths Solutions Exercise 1.2	Maths Solutions Exercise 1.3
Maths Solutions Chapter 2	Maths Solutions Chapter 3

We recommend you to read the class 6 maths ncert book pdf. Click the link to download.

Topics coverd in NCERT Class 6 Maths Chapter 1 Solutions

Topics covered in NCERT Solutions for class 6 maths chapter 1 are.

1.1 Introduction

We learn about the use of numbers in our previous classes. We have learnt addition,
subtraction, multiplication and division of numbers. In NCERT solutions of chapter 1 of class 6 maths, we learn more about the use of numbers by using patterns and sequence and also revise what we learn in previous classes

1.2 Comparing Numbers

The NCERT solutions of Class 6 Maths Chapter 1 Knowing Our Numbers teach students of CBSE class 6 comparing the large number in different ways. for example, find the largest and smallest numbers in a given set of numbers.

• 1.2.1 How many numbers can you make?- using the given digits make differnt numbers.
• 1.2.2 Shifting of numbers. – Make new number by shifting the place of the digits.
• 1.2.3 Introducing 10,000.- You are introdued to large numbers like 10000 and 100000.
• 1.2.4 Revisiting place value.- In the given number every single digit have its own place value.
• 1.2.5 Introducing 1,00,000.- You learn use of 100000
• 1.2.6 Larger numbers.- You learn six and seven digit numbers and also learn greatest 6-digit number we get the smallest 7-digit number. It is called ten lakh.
• 1.2.7 An aid in reading and writing large numbers.

1.3 Large Numbers in Practice

NCERT Solution for class 6 maths chapter 1 provide a basic understanding of estimations and rounding off.

• 1.3.1 Estimation- How to do approximation and use of it. We use estimation technique to easily solve the problems.
• 1.3.2 Estimating to the nearest tens by rounding off.- We can change any number to its closest number which is multiple of tenth eg- 12 is near to 10 so it can be replece by 10
• 1.3.3 Estimating to the nearest hundreds by rounding off. – In Hundreds rounding off We can change any number to its closest number which is multiple of hundred 1.3.4 Estimating to the nearest thousands by rounding off.
• 1.3.5 Estimating outcomes of number situations.- We write the numbers taking care that the digits in the same place (ones, tens, hundreds etc.) are in the same column.
• 1.3.6 To estimate sum or difference.
• 1.3.7 To estimate products.- Round off each factor to its greatest place, then multiply the rounded off factors.

1.4 Using Brackets

In Class 6 Maths NCERT Solutions of chapter 1 Knowing our numbers you also learn the use of brackets.

To avoid confusion in maths solutions calculation we use brackets.

Rule- First, turn everything inside the brackets ( ) into a single number and then do the operation outside which in this case is to multiply by 10.

1.5 Roman Numerals

We have been using the Hindu-Arabic numeral system so far. This is not the only system available. One of the early systems of writing numerals is the system of Roman numerals. This system is still used in many places. In NCERT Solutions for class 6 maths chapter 1 we also learn Roman Numerals.

What we learn in NCERT Solutions for Class 6 maths Chaper 1

In class 6 maths NCERT Solutions we learn these concepts you are advised to read these points.

1. Given two numbers, one with more digits is the greater number. If the number of
   digits in two given numbers is the same, that number is larger, which has a greater leftmost digit. If this digit also happens to be the same, we look at the next digit and so on.
2. In forming numbers from given digits, we should be careful to see if the conditions under which the numbers are to be formed are satisfied. Thus, to form the greatest four digit number from 7, 8, 3, 5 without repeating a single digit, we need to use all four digits, the greatest number can have only 8 as the leftmost digit.
3. The smallest four digit number is 1000 (one thousand). It follows the largest three digit number 999. Similarly, the smallest five digit number is 10,000. It is ten thousand and follows the largest four digit number 9999.
   Further, the smallest six digit number is 100,000. It is one lakh and follows the largest five digit number 99,999. This carries on for higher digit numbers in a similar manner.
4. Use of commas helps in reading and writing large numbers. In the Indian system of numeration we have commas after 3 digits starting from the right and thereafter every 2 digits. The commas after 3, 5 and 7 digits separate thousand, lakh and crore respectively. In the International system of numeration commas are placed after every 3 digits starting from the right. The commas after 3 and 6 digits separate thousand and million respectively.
5. Large numbers are needed in many places in daily life. For example, for giving number of students in a school, number of people in a village or town, money paid or received in large transactions (paying and selling), in measuring large distances say betwen various cities in a country or in the world and so on.
6. Remember kilo shows 1000 times larger, Centi shows 100 times smaller and milli
   shows 1000 times smaller, thus, 1 kilometre = 1000 metres, 1 metre = 100 centimetres or 1000 millimetres etc.
7. There are a number of situations in which we do not need the exact quantity but need only a reasonable guess or an estimate. For example, while stating how many spectators watched a particular international hockey match, we state the approximate number, say 51,000, we do not need to state the exact number.
8. Estimation involves approximating a quantity to an accuracy required. Thus, 4117 may be approximated to 4100 or to 4000, i.e. to the nearest hundred or to the nearest thousand depending on our need.
9. In number of situations, we have to estimate the outcome of number operations. This is done by rounding off the numbers involved and getting a quick, rough answer.
10. Estimating the outcome of number operations is useful in checking answers.
11. Use of brackets allows us to avoid confusion in the problems where we need to carry out more than one number operation.
12. We use the Hindu-Arabic system of numerals. Another system of writing numerals is the Roman system.