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### Course: 5th grade (Eureka Math/EngageNY) > Unit 1

Lesson 2: Topic B: Decimal fractions and place value patterns- Write decimals in expanded form
- Decimals in expanded form
- Decimals in expanded form review
- Decimals in written form (hundredths)
- Decimals in written form (thousandths)
- Decimals in written form
- Decimals in written form review
- Expressing decimals in multiple forms
- Decimals in written and expanded form
- Visual understanding of regrouping decimals
- Write common fractions as decimals
- Comparing decimals: 9.97 and 9.798
- Comparing decimals: 156.378 and 156.348
- Compare decimals through thousandths
- Comparing decimals in different representations
- Compare decimals in different forms
- Order decimals
- Comparing decimals word problems
- Compare decimals word problems
- Regroup decimals
- Ordering decimals
- Ordering decimals through thousandths

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# Ordering decimals

Practice comparing decimals and learning how to order numbers with decimals from least to greatest. Learn about the importance of examining each decimal place, starting from the left (the largest place value) and moving rightwards.

## Want to join the conversation?

- Maths is hard i dont get it l o l(51 votes)
- I love math and khan academy(2 votes)

- Every time we go down one place value is that number always ten times less than the number before it. And what is the point of having a decimal point if every value is either 10 times less or more?(28 votes)
- Using a decimal point is a way to write a number that has fractional place values such as tenths, hundredths, thousandths, and so on. Without the decimal point, the only place values are whole-number place values such as ones, tens, hundreds, thousands, and so on.(20 votes)

- This video teached me a lot of stuff!(16 votes)
- I’m glad you learned a lot from the video about ordering decimals.

The basic idea is that decimal points should be lined up first, and columns farther to the left are more important because of their higher place values.(6 votes)

- i am confused about decimals?(2 votes)
- Decimals are just like normal numbers, except they have a precision that's greater than we can express without a decimal point and places. The amount of zeroes to the left of the decimal shows us how small it is, and the zeroes to the right of the numbers don't really matter. This is very similar to whole numbers, where the zeroes to the left don't matter and the zeroes to the right of the value tell us the size of the number. Operations with decimals work the same as with normal numbers.(9 votes)

- lol my person be like ahhhhhhhh(5 votes)
- I’m laughing 😂 so hard.LOL(2 votes)

- how many energy points do you have?(4 votes)
- I'm done what do I do?(3 votes)
- How do you order uneven numbers like 4.56 4.39 8.79 3.3 from least to greatest(1 vote)
- Hi, so to order decimal numbers I will show you an example. To see which order 4.56, 4.39, 8.79, and 3.3 go you have to see which whole numbers are the lowest. We know that 3.3 is the lowest out of 4.56, 4.39 and 8.79 because the whole number 3 is greater than 4 and 8. Next we check to see which is the smallest out of 4.56, 4.39 and 8.79. We know that 4.56 and 4.39 are smaller than 8.79 because 4 is smaller than 8. Now we check and see which is the smallest out 4.56 and 4.39. Since the whole number in both numbers are 4 we check to see which number is bigger behind the decimal. To check which numbers behind the decimal are bigger we have to check the number right after the decimal. So in 4.56 the number behind the decimal is 5 and in 4.39 the number behind the decimal is 3 so we know that 3 is smaller than 5 so 4.39 is smaller than 4.56. Next we see if 4.56 is smaller than 8.79. We know that 4.56 is smaller than 8.79 because 4 is smaller than 8. So from least to greatest this is how it would look, 3.3, 4.39, 4.56, and 8.79. I hope this helped :)(5 votes)

- at1:23what did he mean by tes?(3 votes)
- idk but that is funny lol rn.(1 vote)

- i think im dummy dummy dummy(3 votes)
- No, you're not a dummy, you can do this as long as you listen[.:(1 vote)

## Video transcript

- [Instructor] What we're
gonna do in this video is do a few examples ordering numbers that involve decimals. So let's say that we have the numbers 1.001, 0.113, and 1.101. What I would like you to do is order these numbers from least to greatest. Take out some paper and try to do it on your own before we do it together. All right, now let's do it together. And the way I would
tackle ordering numbers is I would go to the largest place value that the numbers have in common. And so, in this situation, we have a ones place value in all of them. And so we can see that this has one one, this has zero ones, and
this one has one one. So the thing that has the least ones is going to be the
smallest of the numbers. So this one over here is going to be the smallest of the numbers. So let me just write that over here. 0.113. And now we have to figure
out which one is next between 1.001 and 1.101. Well then we just go to
the next place value. So we go to the tenths place and we right over here, they're equal on the ones place. So if you go to the tenths place, this one has zero tenths
while this one has one tenth. So the number on the right here is going to be larger. It has more tenths. Same number of ones,
but it has more tenths. It doesn't really matter what happens to the right of that. So the next smallest number, if we're ordering from least to greatest, is going to be 1.001. And then last, but not
least, would be this one. That is the largest, 1.101. Let's do another example. Let's say we had the numbers 0.424, 0.343, and 0.443. Pause this video and try to order these from least to greatest on your own. And once again, the idea here is always start with the largest place
value and then compare, and then keep moving to the right if some things are equal. All right, now let's do this together. So they all have zero ones, so they're all equal there, so that's not gonna tell us much. So now let's go to the tenths place. So here I have four tenths. Here I have three tenths. Here I have four tenths. So I don't even have to
look at the hundredths or the thousandths place. This one has the least tenths. So I can put that as the least, or the smallest of the
three numbers, 0.343 And now, so I've already used that one, and so I need to compare
these two numbers. They have the same number of ones, they have the same number of tenths, so then we move to the hundredths. So here I have two hundredths, here I have four hundredths. This one has less
hundredths than this one. So the one on the left is going to be the next smallest number. So then we have 0.424. And then, last but not least,
this one right over here, it has the same number of
ones as everything else. It has more tenths than this middle one, and the same number of
tenths as the left one. But then it has, but then it also has more hundredths than the
left one right over here. So this is the largest
of the numbers, 0.443. And we're done.