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Rounding whole numbers to nearest hundred

Sal rounds 24,259 to the nearest hundred. Created by Sal Khan and Monterey Institute for Technology and Education.

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  • blobby green style avatar for user Asfund Yar Khan
    How Do I Round Off To The Nearest Ten thousand. for ex. 137000 how can i rouund of to the nearest ten thousands...
    (143 votes)
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  • old spice man blue style avatar for user Dj
    what if you were rounding a negative? Would it be reverse?
    (23 votes)
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  • duskpin seedling style avatar for user harmony
    what is 10,000 rounded to the nerest 10,000?
    (18 votes)
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  • starky sapling style avatar for user Malia
    why does 5 round up i think it us supposed do round down
    (9 votes)
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    • hopper cool style avatar for user Philip
      The reason 5 rounds up is because 0, 1, 2, 3, and 4 are part of the "lower half" which round down and the next greater place value is not influenced. 5, 6, 7, 8, and 9 are part of the "upper half" which round up and the next greater place value is increased by 1.

      [R]
      (13 votes)
  • duskpin ultimate style avatar for user (っ◔◡◔)っ ♥ samanvi ♥
    can you give this comment 9 votes or more?❓❓
    (19 votes)
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  • blobby green style avatar for user Kalea Henry
    what if you had to round 2999 to the nearest hundred
    (13 votes)
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  • starky sapling style avatar for user Nevaeh
    how do you go on rounding
    (4 votes)
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    • leaf green style avatar for user Jedidiah Delich
      So, if you were to round the number 17 to the nearest 10th what would it be?
      Would it be 10 or 20? Well, we look at the number to the right to figure that out.
      - If the number is 5, 6, 7, 8, or 9, then you would round the number to 20 and say: "it is about 20".
      - If the number is 1, 2, 3, or 4, then you would round the number to 10 and say: "it is about 10".
      So, in this case the number to the right is 7... that would mean we would round the number to 20.

      Let's look at another example... if you were to round 132 to the nearest 100th what would it be?
      100 or 200? Again the numbers to the right will help us understand.
      - If the number is 50 or higher (51, 52, 53... to 99) it would be rounded to 200.
      - If the number is 49 or lower (48, 47, 46... to 1) it would be rounded to 100.
      So, in this case the numbers to the left are 32... that would mean we would round it 100.

      Hope this helps you maybe understand this better...
      (15 votes)
  • duskpin ultimate style avatar for user 💜Ari💜
    hello i am on a New account in khan academy and i am doing 4th grade courses. But i have trouble rounding to the nearest ten thosaund and hundred thousand. Can you please help me
    (6 votes)
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    • hopper cool style avatar for user Philip
      When rounding for any place value, you usually just take a look at if the value in the lower place value right below it is 0, 1, 2, 3, or 4 (0 to 4) or 5, 6, 7, 8, or 9 (5 to 9).
      If the value is 0 to 4, you round down (the number of the place value you are rounding to stays the same).
      If the value is 5 to 9, you round up (the number of the place value you are rounding to is increased by 1).
      As I said before, this method is applicable for any place value, no matter how high you go (e.g. if rounding to the nearest one hundred million, you check what value is in the 99 million, and use that to determine whether you should round up or down).
      (6 votes)
  • primosaur tree style avatar for user ZOIEL
    What you do is you underline the tenthousand and then you circle the thousand 5 or above make the tenthousand one number higher and turn everything after that zero if it id 4 or below leave it alone and turn it all after the thousand zero. oh wait that question is from 9 years ago... -_-
    (8 votes)
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  • winston baby style avatar for user 🧐jamesS
    wait so if your gona round like 10000 and it was a number like 453243 would you still keep the 100 thousan in the number like 240000?
    (6 votes)
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Video transcript

Round 24,259 to the nearest hundred. You're going to find that doing these problems are pretty straightforward, but what I want to do is just think about what it means to round to the nearest hundred. So what I'm going to do is I'm going to draw a number line. Let me draw a number line here, and I'm just going to mark off the hundreds on the number line. So maybe we have 24,100, and then we go to 24,200, then we go to 24,300, and then we go to 24,400. I think you see what I mean when I'm only marking off the hundreds. I'm going up by increments of 100. Now, on this number line, where is 24,259? So if we look at the number line, it's more than 24,200 and it's less than 24,300. And it's 259, so if this distance right here is 100, 59 is right about there, so that is where our number is. That is 24,259. So when someone asks you to round to the nearest hundred, they're literally saying round to one of these increments of 100 or round to whichever increment of 100 that it is closest to. And if you look at it right like this, if you just eyeball it, you'll actually see that it is closer to 24,300 than it is to 24,200. So when you round it, you round to 24,300. So if you round to the nearest hundred, the answer literally is 24,300. Now that's kind of the conceptual understanding of why it's even called the nearest hundred. The nearest hundred is 24,300. But every time you do a problem like this, you don't have to draw a number line and go through this whole process, although you might want to think about it. An easier process, or maybe a more mechanical process, is you literally look at the number 24,259. We want to round to the nearest hundred, so you look at the hundreds place. This is the hundreds place right here, and when we round, that means we don't want any digits. We only want zeroes after the hundreds place. So what you do is you look at the place one less than the place you're rounding to. This is the hundreds place so you look at the 5 right there, and if this number is 5 or greater, if it's 5, 6, 7, 8, or 9, you round up. So 5 or greater, you round up. And so rounding up in this situation, it is 5. It is 5 or greater, so rounding up means that we go to 24,000, and since we're rounding up, we make the 2 into a 3. We increment it by one, so rounding up, so 24,300. That's what we mean by rounding up. And just as kind of a counterexample, if I had 24,249 and I wanted to round to the nearest hundred, I would say, OK, I want to round to the nearest hundred. Let me look at the tens place, this place one level to the right. It is not 5 or greater, so I will round down. And when you round down, be careful. It doesn't mean you decreases this 2. It literally means you just only have the 2. Just get rid of everything after it. So it becomes 24,200. That's the process where you round down. If you round up, it becomes 24,300. And it makes sense. 24,249 is going to be sitting right over here someplace, so it's going to be closer to 24,200. 24,200 would be the nearest hundred when we round down in this case. For the case of the problem, 24,259, the nearest hundred is 24,300. We round up.