Monday, November 19, 2012

Understanding Integers on the Number Line

We know that the natural numbers start from one and the whole numbers start from zero. These numbers are positive and also include zero. Sometimes a situation arises when we have a number with a minus sign preceding it. It poses a question to us. We need to know what name to give to such a number. We can call them integers. The integers can be positive numbers, negative numbers or even zero. The positive numbers are called positive integers; the negative numbers are called negative integers. Zero is also included in the number line.

The numbers coming next to one another in the number line represent consecutive integers. Now, one can define consecutive integers easily. There can even and odd integers. If they are odd integer is placed one place next to another odd integer it is called consecutive odd integer and if an even integer is placed consecutively to another even integer it is called consecutive even integer. From this we can derive the consecutive odd integers formula easily which is nothing but adding two to the given odd integer. For example we an odd integer like three, we have to find the consecutive odd integer to it. We add 2 to it and we get five. So, five is the consecutive odd integer to three. It is as simple as that.

If we have to find 3 consecutive integers, this is what we need to do. First we find the first consecutive integer to the integer given and then the next and then the next one. This can be done simply by adding two to the integers consecutively. If 3 is given, we add two to it, we get 5. It is the first consecutive odd integer. The next one will be seven and the process continues. If we need to find only the consecutive integer and odd or even then we just need to add one to the given integer and continue the process.

After knowing consecutive integers we must find their sum now. To start with, sum of three consecutive integers will be great. The process of addition is known. The same thing has to be done here. We can derive consecutive integer’s formula which is very simple. The formula is nothing but adding one to the given integer and we get the consecutive integer. This process is simple and can be extended to find the other integers.

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