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### Course: Math (NSDC) - English>Unit 4

Lesson 4: Comparing decimals

# Ordering decimals through thousandths

Learn all about comparing decimals. It teaches students how to order decimals from least to greatest by comparing each place value, starting from the most significant and moving to the right.

## Want to join the conversation?

• im stuck on rounding
(25 votes)
• say it asked you to round to the nearest ten and the number is 17.

since 17 is closer to twenty than it is to ten, 17 rounded to the nearest ten is 20.
if the number where 14 instead of 17, rounded to the nearest ten it would be 10.
if a number were to be rounded to the nearest hundred. say the number is 60, then the answer would be 100. if it where 48, it would be 0.
(17 votes)
• how do you figure out how round thousandths decimals?
(12 votes)
• You round to three decimal places. If the number after the third decimal is 5 or higher, round up, and if the number is 4 or lower, round down
(21 votes)
• How is the second number the smallest seeing that the last one only has seven tenths?
(11 votes)
• It is because 0.074 is nothing but 74/1000 and 0.7 is 700/1000 so the biggest number among them is 700/1000 which is nothing but 0.7. And therefore 0.074 is the smallest.
(13 votes)
• i can help u beacase i am in 4 grade going to 5 grade and im doing 8th grade stuff
(10 votes)
• How are u doing 8th grade stuff when you're in 4th grade? I'm in 5th grade.
(8 votes)
• how do you round to the that it tells you to
(10 votes)
• this is not hard but then it is hard
(7 votes)
• ok I'm stuck on rounding too
(6 votes)
• When you round, you look at the numbers and the saying is "5 and up, give it a shove up to 10. 4 and below, you give it a shove back down to 0".
Hope this helps. :)
(11 votes)
• I'm stuck on rounding too and I don't get it
(9 votes)
• Look behind and see if it is 5 or more then round up if 4 or less go down to 0. Hope this helps.
(4 votes)
• this is sooo good to help work.
(8 votes)
• so i don't get how u can tell what ones bigger i need help like with how to tell what one is bigger.
(6 votes)
• Order these numbers from least (left) to greatest (right):
7.12, 5, 6.021, 6.027, 7.00001, 6.096.

(Bonus: After you finish this task, try turning a larger-than-100 number into a percentage and then a mixed number.
Here's how you do it:

1. Write a percentage sign right next to the ones place.
(Example: 2023%)
2. Convert the hundreds to ones, tens to thousands, hundreds to ten thousands, and so on...
( Example: 20)
3. Write a fraction bar.
4. Write 100 as the denominator.
5. Write the tens and ones place as the numerator.
(Example: 23/100)
Try it out!)
(4 votes)
• Who wrote this? A student or a instructer? This is so good!
(4 votes)

## Video transcript

- [Instructor] So we have four numbers listed here, and what I would like you to do is get out some pencil and paper and pause this video and see if you can order these numbers from least to greatest. So the least would be at the left, and then keep going greater, and greater, and greater until you get to the greatest number. So pause the video and have a go at that. All right, now let's tackle this together. And the way that I like to do it is I start at the, I guess you could say, the most significant place value or the largest place value, compare the numbers. And then keep moving to the right to smaller and smaller place values. So we can start in the ones place. This number has zero ones, this number has zero ones, this number has zero ones, and that number has zero ones. So the ones place really doesn't help us much. But then we can move to the tenths place. This number has 7/10. This number has 0/10, so just from that we know that the second number is less than the first number. This has 7/10, this has 0/10. It doesn't matter what's happening in the places after that, to the right of that. This number over here also has 7/10, just like the first number. And this last number also has 7/10. So we know from comparing the ones and then the tenths place is that this number right over here is the smallest of the four numbers. They all have zero ones, but this one also has 0/10. So I'll list that here, 0.074. Now let's move to the hundredths place. So this number has 0/100. We've already used this number. This number has 7/100. And then this number, it might not be obvious, but the hundredths place you can view as being zero, the hundredths place, you can just put a zero there and not change the value. So this also has 0/100. So these three numbers, same ones, same tenths, but this number, 0.77, has 7/100, while the other two had 0/100. So this is going to be the largest of our four numbers. This is larger than these other two because of what we see in the hundredths place. It doesn't matter what's happening in the thousandths place or anything beyond that. So we put the 0.77 right over there. And now we are tasked, and we've used this number, and now we have to compare these two numbers, which were equal in the ones, tenths, and hundredths place, so we have to go to the thousandths place. This number has 7/1000. This number has 0/1000. So this number is smaller than this first number here. So I'll write this next, 0.7, and then the third smallest, or the next to largest number is this one over here, 0.707, and we're done. So the main idea is you wanna compare the most significant place values, the largest places values first, and then based on that, keep moving to the right to compare less and less significant place values.