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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?
    (20 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.
      (28 votes)
  • mr pink red style avatar for user haugenak
    when you round to the nearest hundred thousand what do you do?
    (11 votes)
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  • female robot amelia style avatar for user Girl_Knows_Everything_:*)
    if 1 x 2 = 2 What is 2 x 1?
    (2 votes)
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    • duskpin ultimate style avatar for user Polina Vitić
      1 x 2 is the same as 2 x 1.

      So, if..

      1 x 2 = 2
      2 x 1 = 2

      If you are multiplying the exact same numbers, then it doesn't matter in what order you multiply them:

      1 x 2 = 2 x 1 = 2

      (This is the Commutative Property of Multiplication, which states that ab = ba.)

      Hope this helps!
      (22 votes)
  • primosaur sapling style avatar for user Miles
    How do you round fraction
    (7 votes)
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  • mr pants purple style avatar for user 🥇Icastellano31 🏆
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    (6 votes)
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  • blobby green style avatar for user Yassir Halty
    hi
    im new to this
    (7 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
    (5 votes)
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  • blobby green style avatar for user GeorgiaG
    I don't know why we have to wach this.
    (5 votes)
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  • starky tree style avatar for user AmirW
    how come it says rounding ten and the vid did not say nothing about rounding ;-;
    (6 votes)
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  • duskpin seedling style avatar for user SIMBA X EVELYN
    can i have votes please...?
    (6 votes)
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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.