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## Numbers & Operations - The Real & Complex Number Systems 201-210

### Unit 2: Lesson 1

Rounding whole numbers- Rounding whole numbers to nearest hundred
- Rounding whole numbers to nearest thousand
- Round whole numbers
- Rounding whole numbers: missing digit
- Round whole numbers to different place values
- Rounding whole numbers word problems
- Round whole numbers word problems

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# Rounding whole numbers to nearest hundred

CCSS.Math:

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

## Want to join the conversation?

- what is 10,000 rounded to the nerest 10,000?(17 votes)
- that would be 10,000(12 votes)

- what if you had to round 2999 to the nearest hundred(12 votes)
- If you underline the first 9, the second 9 tells you to round up, so rounding up to a 10 means 20+10 = 30, so 3000. Or if you round up the 9 to a 0, you have to add one to the next digit (2+1).(5 votes)

- why does 5 round up i think it us supposed do round down(0 votes)
- 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](4 votes)

- 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)
- 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)
- 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).(3 votes)

- 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)
- This is kind of easy and hard you know what i'm saying(5 votes)
- I know so weired(2 votes)

- If Sal asks us "Round 550 to the nearest hundred". How will we do that ? I had a lot of confusion because 5 can either go down or go up(4 votes)
- This is a good question, because 550 is exactly halfway from 500 to 600. In this type of situation, the rule is to round up. So the answer is 600.(2 votes)

- do we haft to make a number line(4 votes)
- still don't understand(2 votes)
- You can round to the nearst hurndred by for example if the tens is more then 5 it is up and if it is less then 4 then down(5 votes)

## 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.