If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Course: Class 6 (Old)>Unit 6

Lesson 3: Comparing decimals

# Ordering decimals 1

Sal orders 5 decimals from least to greatest. Created by Sal Khan.

## Want to join the conversation?

• Can you compare these numbers on a number line? On a number line you have to put numbers from least to greatest in order to make the number line true, so can you put decimal numbers on a number line?
• how is 0.0097 less than 0.07
• Because the 9 is in the thousandths place, but the 7 is in the hundredths place; and the thousandths place has a lower place value than the hundredths place. In other words, 7 is worth about 7 cents, but 9 is worth slightly less than 1 cent.

Example:

(1.) .07 x 15 = 1.05 (You only need to to multiply .07 by 15 to go over a dollar.)
(2.) .0097 x 104 = 1.0088 (But for this number, you need to multiply it by 104 to go over a dollar.)
• You make it seem like it's so hard
• why is the smallest number on the left? Shouldn't it be on the right instead?
• It depends on whether it is in ascending or descending order. If ascending, it's from the smaller (left) to greater (right)
Eg. 2.02, 2.10, 3.22

If it's descending, then it's from the greater (left) to the smaller(right).
Eg.4.022, 4.001, 3.9

In the video, it says arrange it from least to greatest which means it's in ascending order.
(1 vote)
• what if i have two equal fractions how do i order them
• It shouldn't happen as ordering means mostly they are different fractions, decimals or numbers.
(1 vote)
• I’m wondering how to get to the quiz on this
• When ordering decimals are the tenths and hundredths the main things to look at when you order them?
• Line up the decimal points first (either written down or mentally). Insert 0’s as needed for missing digits (either written down or mentally).

Digits in columns farther to the left are more important than digits in columns farther to the right. So for example, units digits are more important than tenths digits, which in turn are more important than hundredths digits.

So start at the leftmost column and compare digits. Only if there are any ties, go one column to the right only to break the ties. If are still ties, go another column to the right only to break the ties. Continue going to the right until all ties are broken, or until there are no more columns of digits.
(1 vote)
• I don't want a video i just want "missions"
(1 vote)
• i keep doing it. and i always have at least 1 wrong!:((:
(1 vote)
• Try your best and then do it tomorrow in the Matery Challenge
(1 vote)
• How are you so good ?? Please reply as soon as possible, Thank you! Have a good day.
(1 vote)

## Video transcript

We're asked to order the following numbers from least to greatest, and I encourage you to pause this video and try to think of it on your own. Order these numbers from least to greatest. Well, let's work through it together now. So, none of these numbers have any places, any value to the left of the decimal point. They have no ones here. 0 ones, 0 ones, 0 ones, 0 ones, 0 ones. So let me then go to the next decimal place to the right. So I'm starting with the largest decimal places, and then I'm going to successively smaller decimal places. So I'll go to the tenths place. So this one right over here has 0 tenths. This has 0 tenths. This has 0 tenths. This one has 0 tenths. This one has 7 tenths, so this one actually has tenths. This has seven of them, so I'm going to leave this one here as the greatest. We're ordering from least to greatest. Now let's move to the hundredths place. So this one, this one, this one, this one all have 0 tenths. Let's look at the hundredths place. This has 7 hundredths. This has 7 hundredths. This one has 7 hundredths. This has no hundredths as well. This has 0 hundredths, so this one has neither tenths nor hundredths. So this one is going to be the smallest. This one has no tenths, no hundredths. This one actually has tenths. All of these-- these three in the middle-- have no tenths, but they have some hundredths, and they all have the same number of hundredths. 7 hundredths, 7 hundredths, 7 hundredths. So now let's look at the thousandths place. This one has 9 thousandths. This one has 0 thousandths. And this one has 0 thousandths as well. So out of these three, this one is the largest, because this one actually had some thousandths out of these three. Now let's go look at-- we have to pick between these two. Both of these have no tenths. Both of them have exactly 7 hundredths. Both of them have no thousandths, but this one has 9 ten thousandths while this one has no ten thousandths. So this one is less than that one. And now I'm done. I think I have ordered the numbers from least to greatest. And the key here is go to the place value that's most significant-- I guess you could say-- that has the most value. So that was the ones place. Compare them on that. Then go to successively smaller place values. Keep going to the right, and keep comparing them, and then you'll be able to order them.