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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.

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  • starky ultimate style avatar for user Richard Huynh
    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)
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    • duskpin ultimate style avatar for user learn
      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)
  • mr pink red style avatar for user haugenak
    when you round to the nearest hundred thousand what do you do?
    (10 votes)
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    • piceratops ultimate style avatar for user 1&only
      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)
  • primosaur sapling style avatar for user Miles
    How do you round fraction
    (9 votes)
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  • old spice man blue style avatar for user Ali
    I think he switched the greater than and less than sign.<5 >5
    (6 votes)
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  • leaf green style avatar for user Bubbletea Person!!!
    Oh my goodness I am so confused someone help me!
    Edit: Thank you for all the support now I finally get it!
    (6 votes)
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    • male robot hal style avatar for user Aztik
      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)
  • male robot hal style avatar for user Ethan Lee
    yeah 5 is supposed to round up. 5 is closer to the following.
    (6 votes)
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  • blobby green style avatar for user fiyin.adeniyan
    I have A problem with every thing about rounding. I
    can under stand when it to small number like 59 or 188 I know 188 round to the nearest one is 190 so can you start easy so we can under stand better. I need help on nearest thousand ten thousand like 34789 what do I do when number like 34789 and they
    don't have A neighbor like this number 34789 rounded be the nearest ten thousand? for Fope
    (2 votes)
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    • starky sapling style avatar for user irina.zharikova
      Hey Fyin.adeniyan!
      Have you ever gone shopping with your parents and heard them say something costs about $5, but the price tag says $4.99? That's rounding! Rounding is like giving numbers a little nudge to make them easier to work with.

      Imagine you have a bunch of marbles, and you want to put them into groups of 10 because it's easier to count by tens. But what if you have 37 marbles? You can't make four full groups, can you? So, you make three groups of 10, and you have 7 left over. In rounding, we decide whether to keep those 7 marbles as they are or add a few more to make another full group of 10.

      Here's how we can decide:
      • If the number is 5 or more, we give it a boost up to the next group of 10.

      • If the number is less than 5, we just leave it as it is.

      So, if we go back to our marbles, we have 7 left after making three groups of 10. Since 7 is more than 5, we can add 3 more marbles to make it 40. Now, we have four full groups of 10 marbles!

      Let's try with a number like 52. The 5 in 52 tells us we already have five groups of 10, and the 2 is like having 2 extra marbles. Since 2 is less than 5, we don't add any more marbles. So, 52 stays as 50 when we round it.

      Remember, rounding helps us with big numbers too! If you see a number like 164, you look at the 6 (which is in the tens place) and think about your marbles. Since 6 is more than 5, you add one more group of 10. So, 164 becomes 170 when we round it to the nearest ten.

      Rounding is super useful when you're in a hurry or when exact numbers aren't that important. It's like making numbers neat and tidy for a quick look!


      I hope this essay helps you understand rounding in a fun and simple way! If you need more examples or exercises, feel free to ask. Happy learning!
      (4 votes)
  • blobby blue style avatar for user AmyT
    I still don't get it
    (2 votes)
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  • blobby green style avatar for user Fawadhabib33
    42 rounding to nearest ten
    (2 votes)
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  • ohnoes default style avatar for user -=()=-
    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)
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    • leafers ultimate style avatar for user Isabel Esguerra
      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)

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.