Video and Examples
0.362 can be placed on a number line by first looking at the numbers 0.3 and 0.36

The number 0.3 is equal to the fraction , so we need to cut the interval from 0 to 1 into ten equal intervals and locate 0.3 at the third interval marker.
The number 0.36 is equal to , which can be written as
in expanded form. Since 6 is in the hundredths place, we need to cut the interval from 0 to 1 into 100 equal intervals. But since 0 to 1 is already cut into ten intervals, we can cut each of those smaller intervals into ten even smaller intervals. The result is 100 equal intervals from 0 to 1. The number 0.36 is placed 6 small intervals beyond 0.3.
Finally, the number 0.362 is equal to , which is written in expanded form as
Since 2 is in the thousandths place, we need to cut the interval between 0.36 and 0.37 into ten equal sized intervals. 0.362 will be placed at the second interval beyond 0.36.
Now it is easy to compare decimals. Numbers further to the right are larger than numbers to the left. For example, 0.362 is bigger than 0.36, but smaller than 0.37.
Directions:
What you should learn:

Duane Habecker, Created with GeoGebra 
This next applet includes negative decimals.
Directions:

Duane Habecker, Created with GeoGebra 
SelfCheck
Question 1 Which is the best estimation for the location of Point A on the number line?

[show answer] 
Question 2 Which is the best estimation for the location of Point A on the number line? 1.5? 0.75? 0.5? 0.5?

[show answer] 
Question 3 Which is the best estimation for the location of Point A on the number line? 2.63? 0.6? 3.45? 1.53?

[show answer] 