NCERT Solutions for Class 6 Maths, Chapter 6 - Integers

We have seen that there are times when we need to use numbers with a negative sign. This is when we want to go below zero on the number line. These are called negative numbers. Some examples of their use can be in temperature scale, the water level in a lake or river, level of oil in tank etc. They are also used to denote debit account or outstanding dues.

In NCERT Maths Book Class 6, Chapter 6 Solutions, as you progress through the chapter you will learn integers. The first numbers to be discovered were natural numbers i.e. 1, 2, 3, 4,… If we include zero to the collection of natural numbers, we get a new collection of numbers known as whole numbers i.e. 0, 1, 2, 3, 4,… You have studied these numbers in the earlier chapter. Now we find that there are negative numbers too. The collection of numbers…, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, … is called integers. So, – 1, – 2, – 3, – 4, … called negative numbers are negative integers and 1, 2, 3, 4, … called positive numbers are the positive integers.

Let’s take a look at topics and sub-topics of class 6 Maths Chapter 6, Integers

6.1 Introduction

              6.1.1 Tag me with a sign

6.2 Integers

              6.2.1 Representation of integers on a number line

              6.2.2 Ordering of integers

6.3 Additon of Integers

                6.3.1 Addition of integers on a number line

6.4 Subtraction of Integers with the help of a Number Line

In Class 6 Maths NCERT Solutions Chapter 6, you will learn – 

Section 6.2 – This section will brief you about integers. The first numbers to be discovered were natural numbers i.e. 1, 2, 3, 4,… If we include zero to the collection of natural numbers, we get a new collection of numbers known as whole numbers i.e. 0, 1, 2, 3, 4.  If we put the whole numbers and the negative numbers together, the new collection of numbers will look like 0, 1, 2, 3, 4, 5,…, –1, – 2, – 3, –4, –5, … and this collection of numbers is known as Integers. In this collection, 1, 2, 3, … are said to be positive integers and – 1, – 2, – 3,…. are said to be negative integers. As you move further in this section you will learn the representation of integers on a number line and ordering of integers.

Section 6.3 – In this section, you will study the addition of integers. Further, you will learn the addition on a number line. We have seen how one more than given number gives a successor and one less than the given number gives predecessor. We observe that – when we have the same sign, add and put the same sign, when two positive integers are added, we get a positive integer [e.g. (+ 3) + ( + 2) = + 5], when two negative integers are added, we get a negative integer [e.g. (–2) + ( – 1) = – 3], when one positive and one negative integer are added we subtract them as whole numbers by considering the numbers without their sign and then put the sign of the bigger number with the subtraction obtained. The bigger integer is decided by ignoring the signs of the integers [e.g. (+4) + (–3) = + 1 and (–4) + ( + 3) = – 1]. With the help of several examples, this section will guide you in understanding the concepts of integers.

Section 6.4 – Towards the end of this chapter, this section will teach you subtraction of integers. Further, you will learn the subtraction on a number line. The subtraction of an integer is the same as the addition of its additive inverse. Hence, to subtract an integer from another integer it is enough to add the additive inverse of the integer that is being subtracted, to the other integer.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of integers. To know more about NCERT Solutions for Class 6 Maths Chapter 6 Integers, you should explore the exercises below. You can also download the Integers Class 6 NCERT Solutions PDF, solved by expert maths trainers. You can also refer online to Class 6 Maths Chapter 6 Worksheet PDF.