Till now, you have learned that there are a different set of numbers, including positive, negative, fraction, decimal and more. You also know that all positive numbers are called natural numbers and when zero is added to them, it is known as whole numbers. Now, when you move to the left side of zero on a number line, you get numbers that are less than zero. These are negative numbers, such as -1, -15, -100 and so on. This collection of natural, whole and negative numbers is referred to as Integers. In Class 6 Maths Chapter 6, you will discuss Integers, their representation on a number line and their mathematical operations. We understand that mastering all these complicated concepts in one go is almost impossible. Moreover, trying unsolved questions repeatedly is tiresome, however, Vedantu has made learning fun and engaging for you. Go through our online NCERT course and you will start enjoying calculations like never before. With our easy tricks and step by step explanation, you will soon outshine all other students in your class.
Let’s start by giving you an insight into what you will be learning in this chapter. Take a read through the summary of all the sections of Class 6 Chapter 6:
The chapter starts with introducing to you what negative numbers are via a few interesting and playful examples. A very innovative method has been adopted to tell you about numbers which are followed after zero. Once you become familiar with the concept, there are “Do This” sections with different motives for students. In the first one, you will learn to represent negative and positive numbers according to their position on a number line. The second focuses on the sequence of numbers where you have to find the digit that immediately follows or precedes the given number. Once you are done with the two activities, we can guarantee you that you will make no mistake during calculations. If you get stuck at any point, clear your doubts instantly with our NCERT Solutions for Class 6 Maths Chapter 6 course.
6.1.1 Tag Me with a Sign
This is another interesting section where you will know the things and items that are marked positive and negative. As you know that some units have ‘+’ sign while others have ‘-’ sign. However, the big question is how to decide which sign to use. Therefore, the chapter gives you a few examples to learn this concept. For example, profits are marked ‘+’ while losses are recorded with a ‘-’ sign. Similarly, place above sea level and temperature above zero degrees are denoted by ‘+’ sign and below sea level or temperature lower than zero degrees is written with a ‘-’ sign. Make sure that you visit our NCERT Solution for Class 6 Maths Chapter 6 Try These section if you have any difficulty solving the given exercises.
Now comes the key section of the chapter where you will acquire knowledge of integers. As you are already familiar with positive and negative numerals separately, here you will combine these two sets of numbers to form integers. In simple words, when you put whole and negative numbers together, you get integers. The concept is explained through some figures to ensure that you grasp the topic easily and clearly.
6.2.1 Representation of Integers on a Number Line
Next, you will work on representing positive and negative numbers on a number line. For this, you will start by marking a few points on the line and tagging one of them as zero. Now, as you move to the right of zero, you will get all positive digits like 1, 2, 3 and so on. Points on the left of zero are negative and marked -1, -2, -3 and so on. For a detailed explanation of a number line, visit Vedantu’s Integers Class 6 NCERT course and get answers to all your queries.
6.2.2 Ordering of Integers
You know that the numbers to the right of zero are positive and that to the left are negative. However, what about the ordering of these numbers? How would you know which is greater and which one is smaller? This section will guide you through the proper order of all integers. A simple rule that you have to follow is that number decreases when you move left and increases when you are moving toward the right. For in-depth analysis of the concept, solve Integers Questions for Class 6 available at Vedantu and hone your math skills in a few months.
Mathematical operations of integers can be complicated and confusing as you have to take care of ‘+’ and ‘-’ sign while calculating the answer. Hence, a few fun examples are mentioned to teach you the correct treatment of these signs and the easiest method to find the correct answer. The rule is to add when you have two positive or negative numbers. However, in the former case, you will put ‘+’ sign with the final answer whereas ‘-’ sign in the latter case. Furthermore, you have to subtract when one of them is negative and put the sign of the greater number with an answer. You can find enough questions in the book to refine your calculation. If you still want more practice questions, then there is no better place than our NCERT Solutions for Class 6 Maths Chapter 6 course.
6.3.1 Addition of Integers on a Number Line
This section will provide you with a practical approach to polish your math operations of integers. You will learn through the number line which will make the addition and subtraction easier and clearer to you. There are a few examples and unsolved questions for better understanding. Our maths experts have covered each of them in our Questions on Integers for Class 6 PDF. Download free PDF now and study at your convenience.
After learning the addition of integers, it’s time to master subtraction of integers on a number line. You will read about the rules of subtracting negative numbers and additive inverse. Our subject experts have used simple language and short techniques to teach you about integers and their calculations. Study our Integers Class 6 NCERT course to understand this concept effortlessly.
We cover all exercises in the chapter given below:-
EXERCISE 6.1 - 10 Questions with Solutions
EXERCISE 6.2 - 5 Questions with Solutions
EXERCISE 6.3 - 4 Questions with Solutions
Why Should Vedantu be Your First Choice?
Acquiring fluent knowledge of maths and its concepts demand undivided focus and hard work. However, one tough question can be a stumbling block to your path of learning. Vedantu ensures that this journey remains smooth and easy with our NCERT Class 6 Maths Chapter 6 online tuitions. They understand that each student is different and have distinct goals, hence, prepare notes which are easy to comprehend for everyone and explain every topic from scratch. We have a team of highly qualified maths tutors who will take you to the base of every topic and then familiarize you with the complete chapter. We adopt the individualistic approach with the motive to reach maximum students.
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