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

Lesson 3: Topic C: Foundations

# 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?
• 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.
• when you round to the nearest hundred thousand what do you do?
• 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.
• How do you round fraction
• 8/7you can round that to one because 7/7 is one,and 8/7 is not too much bigger. hope this helps
• I think he switched the greater than and less than sign.<5 >5
• The inequalities are correct. Sal initially made an error, but immediately corrects his error.
• Oh my goodness I am so confused someone help me!
Edit: Thank you for all the support now I finally get it!
• 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
• yeah 5 is supposed to round up. 5 is closer to the following.
• I still don't under stand
• if 423000=42000 then what is 454000=
(1 vote)
• Assuming your are rounding on thousands, 454,000 is already rounded on thousands.

And FYI 423,000 doesn't round to 42,000
42 thousand is significantly smaller than 423 thousand.

If you are rounding on ten thousands, then 423,00 rounds to 420,000 (not 42,000). And, 454,000 rounds to 450,000.