Class 6 Maths Integers Introduction

Introduction

Natural numbers are 1, 2, 3, 4,5 and so on. If we include zero to the collection of natural numbers, we get a new collection of numbers known as whole numbers, that is, 0, 1, 2, 3, 4 and so on.

There are negative numbers also that exist. If we put the whole numbers and the negative numbers together, the new collection of numbers will look like ….-4,-3,-2,-1, 0, 1,2,3,4 and so on. This collection of numbers is known as Integers.

In this collection, numbers above zero - 1, 2, 3... Are said to be positive integers and numbers below zero – 1, – 2, – 3 ... are said to be negative integers.

 

The integers are represented on the number line in the following way:

  • The numbers to the left of zero are negative integers while numbers to the right of zero are positive integers.

It is important to understand here the order of integers. As we move to the right the value of integers is increasing. Hence 6 is greater than 2, 2 is greater than 1, 0 is greater than -1, -1 is greater than 2 and so on. Therefore, – 3 < – 2, – 2 < – 1, – 1 < 0, 0 < 1, 1 < 2, 2 < 3 so on. By looking at the number line we can see what integers lie between two integers and which the greater integer is. The number line also tells us how much we need to move in order to go from one integer to another.

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