Let us locate Decimals on a Number Line; we have a number line in between 1 and 2. It is divided into 10 equal segments. So we know that, the distance between 1 and 2 on the number line is 1 unit. Lets us say it is 1 unit. This distance is divided into 10 equal parts. So the distance between each sub part or the length of each part equals the length of the total. Which is 1 unit divided by 10 equal parts. Which is 0.1 units. This way our each sub parts length is 0.1 units.
So on Number line with decimals this way becomes simpler to calculate. Suppose say point Y is located on the 4th point on the same above given number line, what decimal number is represented? Let us solve this problem. As we are aware that each sub part is 0.1 units. And there are 10 equal parts between 1 to 2. And Y is located on the 4 parts to the right or we can say it is 4 parts away from 1. Distance of Y from 1 is then it would be 4 times 0.1 units. That comes to 0.4 units. 0.4 units Y is distance away from 1. So still our question remains what is the decimal number represented by Y. we know now that y is 0.4, so it is greater than 1 and less than 2. Thus the decimal number represented by Y equals 1+0.4 units equals 1.4 units.
We can compare the decimal numbers on a number line of decimals, to check whether which one is greatest or which one is smallest according to their place values.
When we look at the ruler we always see that there are small equal parts made between 1 to 2 and so on till 15 cms ruler. To remember it easily math made ruler which partially can be used as a number line to understand Decimals Number Line in an easy form.
We shall also learn to organize decimals on number line with decimals, to locate decimals on a number line. We firstly need to identify greatest place value and plot number line decimals with large divisions around greatest place value. for example if we have to locate 1.3 on number line then first we will identify the greatest place value and then will do sub divisions into 10 equal parts from number 1 to 2 and start counting 1.1, 1.2,1.3 so on . this way we get on the 3rd sub division our greatest place value.