Chapter 2 Whole Numbers Class 6 Notes Maths

You will find Chapter 2 Whole Numbers Class 6 Maths Notes here that will ensure that remembering and retaining the syllabus more easy and efficient. You will also find NCERT Solutions for Class 6 Chapter 2 Maths which will help you in improving the marks in the examinations and have edge over your classmates. It is quite easy to retain the answers once you are fully aware of the concept thus notes can be beneficial for you. Through these Revision notes for Class 6, a student can boost their preparation and assessment of understood concepts.

Predecessor and successor

• Predecessor: The number that comes just before a given number. Example: Predecessor of 7 = 7 -1 = 6.

• Successor: The number that comes just after a given number. Example: Successor of 7 = 7+1=8

Whole Numbers

• The natural numbers along with zero form the collection of whole numbers.

The Number Line

• To represent whole number on a number line, draw a straight line and mark a point on it and label it ‘0’ (zero).

• Starting from ‘0’ (zero) on the line mark equal intervals (of unit length) to right to 0 and label them as 1, 2, 3, ….

• The distance between these points labelled as 0, 1, 2, …is called as unit distance.

Properties of Whole Numbers

Addition

• Closure property : If a and b are any two whole numbers, then (a + b) is also a whole number.

• Commutative law : If a and b are any two whole numbers, then a + b = b + a.

• Additive property of zero : If a is any whole number, then a + 0 = 0 + a = a. So, zero is the identity for addition of whole numbers.

• Associative law : If a, b and c are whole numbers, then (a + b) + c = a + (b + c).

Subtraction

• If a and b are two whole numbers such that a > b or a = b then a - b is a whole number. If a <b, then subtraction a - b is not possible in whole numbers.

• For any two whole numbers a and b (a-b)≠(b-a).

• For any whole number a, we have: (a - 0) = a but (0-a) is not defined in whole numbers.

• If a, b, c are any three whole numbers, then in general (a-b)-C ≠ a-(b-c).

Multiplication

• Closure property : (a × b) is also a whole number.

• Commutative law : a × b = b × a.

• Multiplicative property of zero : a × 0 = 0 × a = 0.

• Multiplicative property of 1 : a × 1 = 1 × a = a. So, one is the identity for multiplication of whole numbers.

• Associative law : a × (b × c) = (a × b) × c.

• Distributive law of multiplication over addition : a × (b + c) = (a × b) + (a × c)

• Distribution law of multiplication over subtraction : a × (b – c) = (a × b) – (a × c)

Division

• If a and b are two non-zero whole numbers, then a ÷ b is not always a whole number.

• Division by zero is not defined.

• 0 divided by any whole number is 0.

• Zero is the identity for addition of whole numbers. The whole number 1 is the identity

for multiplication of whole numbers.