Main content

## 5th grade

### Course: 5th grade > Unit 1

Lesson 7: Rounding decimals- Rounding decimals on the number line
- Round decimals using a number line
- Worked example: Rounding decimals to nearest tenth
- Round decimals
- Understand decimal rounding
- Rounding decimals word problems
- Round decimals word problems
- Decimal place value: FAQ

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Worked example: Rounding decimals to nearest tenth

Rounding decimals to the nearest tenth can be fun. We can identify the tenths place in the given decimal, 9.564. Then we can look at the digit to the right of the tenths place to determine whether to round up or down. In this case, the answer is to round up to 9.6. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- why isn't there a twentyeths place??(2 votes)
- That's because decimals are base ten.(32 votes)

- hello.... I have couple of questions 1. You round to one place lower so in thousenths place u round up to place next like .5634 so we round to .563 4 is not considered ? 2. In number lines how do u round like how u write the digits is it like .1 to .9 ? 3. I'm having problems with rounding up in thousenths place mostly

thank you(8 votes)- Hello! Hopefully the following answer addresses your 1st and 3rd questions. Unfortunately, I'm not quite sure what you mean by "In number lines how do you round like how you write the digits". Number lines can start and end at any number and have markers at any set distance (1, 0.5, 0.1, etc.). If you can rephrase the question, maybe I can help!

The digits to the right of the decimal point are the **tenths** place,*hundredths*place,*thousandths*place, and*ten-thousandths*place (remember there's no "onethes" place!). In 0.5634, the**3**is in the**thousandths**place. When you round to the nearest thousandth, you meant that you want to end up with 0.56#, where you have to figure out what should go in the # place. You figure that out by considering the 4 in the ten-thousandths place.

If you had 34 and wanted to round to the nearest tens place, you'd say "4 is less than 5, so I'll round down" and end up with 30. The same applies here: 4 is less than 5, so you round down, and end up with 0.563. Considering the 4 is how you get 0.563 instead of 0.564!(15 votes)

- HI guys! What does the video mean by rounding decimals? why do we have to do that?

PLEASE REPLY AS SOON AS POSSIBLE!

-Abi

PS: I am 11! And am pretty smart but this does not make sense!(7 votes)- I think we have to round because if there is 3 numbers after the decimal in money we have to round because there is only 2 digits after the decimal in money.(1 vote)

- why am I getting all of the easy questions...?!?!(6 votes)
- pls stop hurting my brain(5 votes)
- why are there so many videos now?!?!(3 votes)
- so we can learn. what did you think(4 votes)

- why you do easy questions.

please do hard one i can't understand the nearest hundred and nrearest thousands.(4 votes)- well over time I think they get harder and harder I really don't know(2 votes)

- If I have 5.1897 and I'm rounding to the nearest thousandth what do I do? What does the 9 turn into and how is that effecting the rest of the numbers(2 votes)
- For your example, in this case 9 is in the thousandths place. To the right of 9 is 7, which is 5 or greater. Here, 9 becomes 0 and you add 1 to the 8 which becomes 9. Therefore, 5.1897 is rounded to 5.190.(1 vote)

- also who are you guys...?!?!(4 votes)
- what is 63.99 rounded to the nearest 10(3 votes)
- Rounded to the nearest 10, 63.99 would become 60.

Remember this rule - less than five you round down - five or greater you round up, so 63 rounds down. If it was 65, you would round UP to 70.(3 votes)

## Video transcript

Round 9.564, or nine and
five hundred sixty-four thousandths, to the
nearest tenth. So let me write it a little
bit larger, 9.564. And we need to round to
the nearest tenth. So what's the tenth place? The tenths place
is right here. This right here represents
5 tenths. This is the ones place, this is
the tenths place, this is the hundredths place,
and this is the thousandths place right here. So we need to round to
the nearest tenth. So if we round up,
this will be 9.6. If we round down, this
will be 9.5. And just like regular rounding,
when we're not dealing with decimals, you move
to one spot, or you look at one place to the right or one
place lower, I guess, and you say is that 5 or larger? If it is, you round up, if
it isn't, you round down. 6 is definitely 5 or larger,
so we want to round up. So this 9.564 becomes 9.6,
or we can call this nine and six tenths. And then we're done!