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.

Main content
Current time:0:00Total duration:3:01

Ordering decimals through thousandths

CCSS.Math: ,

Video transcript

so we have four numbers listed here 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 greater until you get to the greatest number so pause the video and have a go with 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 seven tenths this number has zero tenths so just from that we know that the second number is less than the first number this has seven tenths this as a zero tenths it doesn't matter what's happening in the places after that to the right of that this number over here also has seven tenths just like the first number and this last number also has seven tenths so we know from comparing the 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 zero tenths so I'll list that here zero point zero seven four now let's move to the hundredths place so this number has zero hundredths we've already used this number this number has seven hundredths and then this number it might not be obvious but the hundredths place you can view as being a zero the hundredths place you could just put a zero there and not change the value so this also has zero hundredths so these three numbers same ones same tenths but this number zero point seven seven has seven hundredths while the other two had zero hundredths 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 thousands place or anything beyond that so we put the zero point seven seven right 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 thousandths this number has 0 thousandths so this number is smaller than this first number here so I'll write this next zero point 7 and then the third smallest or the next the largest number is this one over here zero point 7 0 7 and we're done so the the main idea is you want to compare the most significant place values the largest place values first and then based on that keep moving to the right to compare less and less significant place values