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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 word problems

Sal solves word problems by rounding whole numbers to the nearest ten, hundred, or thousand.

## Want to join the conversation?

- I don't understand the second question... why did he go to the tens place?(31 votes)
- In order to round to the hundreds place, you have to look at the tens place to decide whether to round up or down.

If the number in the tens place is between 0 and 4, you round**down**:

- ones place becomes 0

- tens place becomes 0

- hundreds place stays the same

If the number in the tens place is between 5 and 9, you round**up**:

- ones place becomes 0

- tens place becomes 0

- hundreds place goes up one

Examples:

3856

- tens place is 5, so round up to 3900

9214

- tens place is 1, so round down to 9200

Just remember that whatever place you are rounding to, you need to look at the number one place to the right to decide whether to round up or round down.

Hope this helps!(44 votes)

- I don't get it on the second question.(4 votes)
- what do you not understand. let me guess. 1,2,3 and 4 round down while 5,6,7,8, and 9 round up. if it rounds to the tens it means you need to look at the ones. rounding to the hundred means you need to depend it on the tens. Anything else I could help you with? :)(4 votes)

- Wait…why does 5 round up?(3 votes)
- Everything below 5 rounds down.

Everything 5 or greater rounds up.(5 votes)

- The video is about 3 min i rounded:)(5 votes)
- legit i dont under stand like fr(4 votes)
- if the number in the hundreds place is lower than five,he rounds down,so that means you round every number below!(4 votes)
- why do we need to round(4 votes)
- I feel like this should have been taught at an earlier grade. Im pretty sure we did this on here too before, didnt we?(4 votes)
- anything less than five would be rounding down right?(3 votes)
- Anything less than 5 is rounding down, because anything less than 5 would be less than half.(2 votes)

- But isn’t 5 right in the middle?(2 votes)
- Yes, 5 is in the middle. But you round it up anyways. To my understanding this happens because in later math classes, when you want to round long numbers like 5.0964936943964 it's closer to 6, rather than 4. So they round it up.(3 votes)

## Video transcript

- [Instructor] At a barbecue to celebrate the end of the soccer season, 1,354 hot dogs were served. Round the number of hot dogs to the nearest 10. Alright, let me just
rewrite the number, 1,354. Now let's just remember our places. I could write it like that. This is the ones. This is the tens. This is the hundreds place, and this is the thousands place. Now they want to round
the number of hot dogs to the nearest 10. So round it to the nearest 10 here, and so right now we have five tens, but in order to round, we have to look to the
next smallest place, so we'll look to the ones, and we have four ones here, and so because this
number is less than five, so because this is less than five, we round down. So less than five, so we're gonna round down. If you round down, you get to exactly five tens, or you say 1,350. We have rounded to the nearest 10, 1,350 hot dogs. Let's do another one. So here we're told the attendance at a local basketball game was 8,643 people. Round the attendance to the nearest 100, and like always, pause this video and see if you can figure that out. Let's see, 8,643. We wanna round to the nearest 100, so we go one place to the right of that, and we say, okay, is this greater than or less than? Is this less than five or greater than or equal to five? Since it is less than five, so this is less than five, so because of that, we round down. And so we were going to round down to 8,600, so we have rounded to the nearest 100, 8,600 people. Let's do one more. The city of Joyville has 87,388 residents. Round the number of people who live in Joyville to the nearest 1,000. So we have 87,388. We wanna round to the nearest 1,000, so once again, we go
one place to the right. We see that it is less than five, and so we're gonna round down. We are gonna round down to 87,000. That is the nearest 1,000, 87,000. Now since all of the examples, we ended up rounding down, let me just show you what would have happened when we round up. If it was 87,588, well, once again, we are
rounding to the nearest 1,000. You go one place to the right, and you say, "Hey, this
is five or larger." So in this case, you would round up, so you would round the
thousands up to 88,000 in this situation. So you go one space to the right, one place value to the right. If that is less than five, then you round down. If it is five or greater, you round up.