Here are some random numbers I will use for examples:
0.21, 0.71, 1.75, 9.721, 0.20.
I am now going to order them, but before I can order them I need to know: am I ordering least to greatest, or greatest to least?
Typically you see least to greatest so that is how I'll order these decimals for you.
When ordering the, from least to greatest you first want to look in the "units" place. If the number is zero then you'll know that it is below zero. So, now let's say we have these two numbers: 0.21 and 1.75. Which one is greater? The answer is 1.75. This is because when we look in the units place we will immediately know that one is greater than zero. That is easy to verify. hopefully
Ordered from least to greatest it would look like this: 0.21, 1.75. Make sense?
Now, we have more than just two numbers. We have five. It sounds like a lot, but we have a concept we are using to make it easier.
Here are our number that we are using: 0.21, 0.71, 1.75, 9.721, 0.20.
So, let's start in the units place.
In the number "0.21" the number in the units place is zero.
In the number "0.71" the number in the units place is zero as well. What do we do? We go over to the "tenths" place. The tenths place is the number to the right of the decimal. So, in 0.21 in the tenths place we have a two, and in 0.71 we have a seven. Seven is greater than two so we would order the numbers like this: 0.21, 0.71.
Now, using this knowledge we can compare all of the numbers, but wait! We have a 0.21 and a 0.20. To find out which one is greater we need to go into the "hundredths" place. The hundredths place is two to the right of the decimal point. So, in the hundredths place for 0.21 we have a one and in the hundredths place for 0.20 we have a zero. One is greater than zero, so we would order our numbers like this now: 0.20 or 0.2, 0.21, 0.71.
We can use this same concept throughtout all decimals when we order them. Remember to pay attention to the way you are supposed to order the decimals. I hope that made sense XD
Here is what all of my decimals look like ordered from least to greatest: 0.20, 0.21, 0.71, 1.75, 9.721