PW Class 6 Maths Notes Chapter 10: The Other Side of Zero

The concept of zero changes how you understand numbers when you move to its other side on the number line. In The Other Side of Zero, you learn about positive and negative numbers, their position on the number line, and how different operations work with integers. Remembering the rules for addition, subtraction, multiplication, and division of positive and negative numbers can become confusing without regular revision.

PW Class 6 Maths Chapter 10 Notes bring these concepts together in a concise format so that you can revisit the number line, integer operations, absolute value, additive inverse, and successor and predecessor whenever you need to revise the chapter.

What Are Positive and Negative Numbers?

The following notes cover the important concepts from Chapter 10: The Other Side of Zero for quick revision.

• Positive Number: A number greater than zero, located to the right of zero on the number line. Examples include 1, 2, 3, etc.

• Negative Number: A number less than zero, located to the left of zero on the number line. Examples include -1, -2, -3, etc.

How Are Integers Represented on a Number Line?

Integers include positive numbers, negative numbers, and zero, with each integer having a specific position on the number line.

• Integers are represented on a number line

• Every integer has an opposite, except 0.

• Positive integers (+1, +2, +3, ...) are denoted by +Z.

• Negative integers (-1, -2, -3, ...) are denoted by -Z.

• Together with 0, they form the set Z or I.

• Thus, Z = {......, -3, -2, -1, 0, 1, 2, 3…….}

How Do You Add and Subtract Positive and Negative Numbers?

The signs of the numbers determine how positive and negative integers are combined during addition and subtraction.

How Do You Multiply and Divide Integers?

The signs of the numbers determine whether the result of multiplication or division is positive or negative

What Is Absolute Value?

Absolute value represents the distance of an integer from zero on the number line.

• Absolute Value: The distance from the point to zero

• Distance is always positive or zero.

What Is an Additive Inverse?

An additive inverse is a number that gives zero when added to the original number.

Additive Inverse

• x + (-x) = 0
  
  

• x = Number

• -x = Additive Inverse

• 0 = Additive Identity

• -x + x = 0

• -x = Number

• x = Additive Inverse

• 0 = Additive Identity

What Are the Successor and Predecessor of an Integer?

For an integer a, a+1 is its successor and a−1 is its predecessor.

• Let a be an integer; then (a + 1) is called the successor of a and (a - 1) is called the predecessor of a.

• Example: 54 left arrow 55 right arrow 56 (where 54 is the predecessor and 56 is the successor)

Download The Other Side of Zero Class 6 Maths Notes PDF

Use the PW Class 6 Maths Notes PDF for Chapter 10 to keep the important concepts of The Other Side of Zero available for quick revision. You can refer to the notes when revising positive and negative numbers, checking integer operations, or reviewing concepts such as absolute value and additive inverse before solving questions.

How Do PW Notes Help You Revise Class 6 Maths Chapter 10?

PW Chapter 10 Notes are designed for quick reference when you are revising The Other Side of Zero. The notes bring the chapter's definitions, number-line concepts, operation rules, and integer properties together, so you can check a concept without searching through the complete lesson.

• Integer rules in one place: Quickly review the rules for adding, subtracting, multiplying, and dividing positive and negative integers.

• Number-line reference: Revisit the position of positive and negative integers and understand their relationship with zero.

• Important definitions: Refresh concepts such as absolute value, additive inverse, successor, and predecessor.

• Examples for revision: Use the included examples to recall how integer rules are applied in calculations.

• Useful before practice: Review the relevant concept in the notes before attempting NCERT exercises or other questions from Chapter 10.

Keep the PW Chapter 10 Notes as a quick revision resource while working through The Other Side of Zero. After studying the concepts, you can return to the notes to check rules, review examples, and refresh definitions before moving on to question practice or a test.

Related Resources 

• CBSE Class 6 Maths NCERT Solutions 

• CBSE Class 6 Maths Sample Paper 

• CBSE Class 6 Maths Most Important Questions