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### Course: 4th grade (Eureka Math/EngageNY)>Unit 1

Lesson 3: Topic C: Rounding multi-digit whole numbers

# Rounding whole numbers to nearest thousand

Sal rounds 423,275 to the  nearest thousand. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• I have a problem at rounding up this number, this is either my teacher teach me this or I just don't know:
``Round 14,699 to the nearest ten thousand``

I have 2 way of doing this
``- Round every single number, start at the one, and then move up to ten thousand.- Round the thousand.``

If with way 1, I'll get 20000 (my teacher taught me this)
If with way 2, I'll get 10000 (like the demonstration)

Which way is correct?
(36 votes)
• The answer would be 10000. You always use the digit to the right of the place you want to round to help you determine whether to round up or down. But notice you said "round the thousand", but you are actually rounding the ten thousand, by looking at the thousand.
(39 votes)
• when you round to the nearest hundred thousand what do you do?
(10 votes)
• When you round to the nearest hundred thousand you round up by a hundred thousand. For example, lets say you have, 587,531, when you round to the nearest hundred thousand it becomes 600,000. Hope this helps.
(9 votes)
• How do you round fraction
(9 votes)
• 8/7you can round that to one because 7/7 is one,and 8/7 is not too much bigger. hope this helps
(6 votes)
• I think he switched the greater than and less than sign.<5 >5
(6 votes)
• The inequalities are correct. Sal initially made an error, but immediately corrects his error.
(7 votes)
• Oh my goodness I am so confused someone help me!
Edit: Thank you for all the support now I finally get it!
(6 votes)
• So, just try to get this formula -
When it is rounding of to tens, check the ones place.

When it is rounding of to hundreds, check the tens place.

When it is rounding of to thousands, check the hundreds place.

Got the pattern? So it is like we go to check the before digit. So if I ask you to round ten-thousands, the answer should be to check the thousand's place. So, now that we have to round to the thousand's, I am going to check the hundred's place.

Let's take the number 343,798 for example. Now, check the hundred's place. Did you get it? Well, the hundred's place is 7. So, is it 5 or more than 5, or less than 5? Well, it is 7 so it is greater than 5. So it will go forward. So it will become 10. Then the numbers which are front of it will also become 0. So, the number's 9 in the ten's digit and the number 8 in the one's digit will become 0. Now, is the rounding finished? No, it is not. The number 7 has become 10 so we have to change the thousand's digit, in this case, 3. Now, add 1 to 3, because the ten's place in the number 10 is 1. So after you add 1 to the thousand's place, it becomes four. And, we are done. The answer is 344,000. If you got it, please comment below and this a challenge, try to figure out what happens if the hundred's place is less then 5. Comment below! And please give the answer to this question. 254,667 rounded of to the nearest thousand's. Feel free to comment down below if you have any doubts. I am glad to answer!

- Akshay
(6 votes)
• yeah 5 is supposed to round up. 5 is closer to the following.
(6 votes)
• I still don't get it
(2 votes)
• same girl or boy
(2 votes)
• 42 rounding to nearest ten
(2 votes)
• 42 rounded to the nearest ten, so, the basic rule is round up from five, and down from four.
so therefore, the answer rounds down to 40 rounded to the nearest ten.
(2 votes)
• How do you round the ones place?? Example 324 rounded to the ones, what would that make? cus theres nothing to round off of.
(1 vote)
• 324 will just stay the same. When it comes to rounding ones, the number in the ones place will either stay the same if the decimal is 0 to 4 and will increase by 1 if the decimal is 5 and up.
324 is equal to 324.0. Since 0 is the decimal , it just stays the same.
Another example: Round 567.6 to the nearest ones. Since 6 is 5 and up, 567.6 will increase by 1 number which is 568. Ta-da! :D
(4 votes)
• The only way I could do that was if you had to do a little more more research and I could see if I can do that and then you can just go ahead with the other two things and I could just go to your place or whatever and I could go back and do that if if I want you you could do it and I can just do that but you can just go back and see if I have to go to work and I can do it and then I could do that but you could just do it if I you can just do it and I can go back and I do that I can do it and I can just go do that I just don’t know what you want me and to be honest with me to be able do it I just want you can go back and do that I can go back and do that I can just just go ahead with the the the the the other
(2 votes)

## Video transcript

Round 423,275 to the nearest thousand. So let me rewrite it: 423,275. And so the thousands place is the 3 right here, and so if we were round it up to the nearest thousand, we would go to 420-- let me write it so we just focus on the 3-- we would go up to 424,000 if we wanted to round up, 424,000, and if we wanted to round down, we would go to 423,000. We would get rid of the 275. 423,000. So this is our choice. Round up to 424,000 or round down to 423,000. And to figure it out, we just look at the digit one place to the right of the 3, so we look at the 2 right there. If that digit is 5 or greater, you round up. So this is 5. So if this is greater than or equal to 5, 5 or greater, you round up. If it's less than 5, you round down. 2 is definitely less than 5, so we just round down, so it is 423,000. Now just to visualize what this means to the nearest thousand, if I were to do a number line-- and you don't have to do this. We've gotten the answer, but just to have a little bit better visualization of it, if I were to increment by thousands, you might have 422,000, 423,000. You have 424,000, and then maybe over here, you have 425,000, and you could keep going. Now 423,275 is going to be someplace right around here. And so when we round to the nearest thousand, we have to pick between that and that. We see that it much closer to 423,000 than to 424,000, so we round it right there. But you just use the rules we just came up with, and we rounded down to 423,000.