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### Course: Arithmetic (all content) > Unit 1

Lesson 12: Rounding whole numbers- Rounding whole numbers to nearest hundred
- Rounding whole numbers to nearest thousand
- Rounding whole numbers to nearest ten
- 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

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

## Want to join the conversation?

- How Do I Round Off To The Nearest Ten thousand. for ex. 137000 how can i rouund of to the nearest ten thousands...(188 votes)
- Round up to 140,000(154 votes)

- what if you were rounding a negative? Would it be reverse?(56 votes)
- Nope... treat the negative number in the same way that you treat a positive number.

For example

-5652 rounded on hundred place = -5700

-5643 rounded on hundreds place = -5600

Hope this helps.(52 votes)

- what is 10,000 rounded to the nerest 10,000?(28 votes)
- that would be 10,000(29 votes)

- why does 5 round up i think it us supposed do round down(15 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](24 votes)

- what if you had to round 2999 to the nearest hundred(15 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).(28 votes)

- how do you go on rounding(5 votes)
- 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...(16 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)
- what would i do if i were rounding a negative number? would the operation be diffrent/reverse?(2 votes)
- For example, to the nearest integer, -2.4 would round to -2, -2.6 would round to -3, but it’s unclear if -2.5 would round to -2 or -3.

Have a blessed, wonderful day!(11 votes)

- do you like ice cream vote(6 votes)
- are you able to round up negative numbers?(5 votes)
- Yes negative numbers round down(1 vote)

## 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.