NCERT Exemplar for Class 6, Maths Chapter 1

NCERT Exemplar Class 6 Maths Chapter 1: Number System. NCERT Exemplar Solutions for Class 6 Maths Chapter 1 Number System prepare students for their Class 6 exams thoroughly.

Maths problems and solutions for the Class 6 pdf are provided here which are similar to the questions being asked in the previous year’s board.

Contents

1 NCERT Exemplar Class 6 Maths Chapter 1: Number System

NCERT Exemplar Class 6 Maths Chapter 1: Number System

Class 6: Maths Chapter 1 solutions. Complete Class 6 Maths Chapter 1 Notes.

Main Concepts and Results

(i) Knowing our Numbers

Large numbers upto one crore
Reading and writing of large numbers
Comparing large numbers
Indian System of Numeration
International System of Numeration
Use of large numbers
Estimation of numbers
Use of brackets
Roman numerals

(ii) Whole Numbers

Natural numbers
Predecessor and successor of a natural number
Whole numbers: The natural numbers along with zero form the collection of whole numbers.
Representation of whole numbers on the number line
Addition and subtraction of whole numbers on the number line
Properties of whole numbers :
Closure property-
Commutativity of addition and multiplication
Associativity of addition multiplication
Distributivity of muliplication over addition
Identities for addition and multiplication
Division of a whole number by zero is not defined
Patterns in whole numbers

(iii) Playing with Numbers

Factors and multiples
Number of factors of a given number is finite
Number of multiples of a given number is infinite
Perfect number: A number for which sum of all its factors is equal to twice the number.
Prime and composite numbers
Tests for divisiblity of numbers by 2, 3, 4, 5, 6, 8, 9 and 11
Common factors and common multiples
Coprime numbers
More divisibility rules :
-Product of two consecutive whole numbers is divisible by 2
-If a number is divisible by another number, then it is divisible by each of the factors of that number.
-If a number is divisible by two coprime numbers, then it is divisibile by their product also.
-If two given numbers are divisible by a number, then their sum is also divisible by that number.
-If two given numbers are divisible by a number, then their difference is also divisible by that number.
Prime factorisation of a number:
Highest Common Factor (HCF) of two or more numbers
Least Common Multiple (LCM) of two or more numbers
Use of HCF and LCM in problems of day to day life.