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## 5th grade

### Course: 5th grade > Unit 1

Lesson 3: Decimals in expanded form# Decimals in expanded form review

Review writing decimals in expanded form, and try some practice problems.

## Expanded form

**Expanded form**is a way to write numbers by adding the value of its digits.

We can use a place value chart to think of the value of a number's digit.

### Example

Let's write start color #11accd, 3, end color #11accd, point, start color #7854ab, 4, end color #7854ab, start color #1fab54, 0, end color #1fab54, start color #ca337c, 5, end color #ca337c in expanded form.

Ones | . | Tenths | Hundredths | Thousandths |
---|---|---|---|---|

start color #11accd, 3, end color #11accd | . | start color #7854ab, 4, end color #7854ab | start color #1fab54, 0, end color #1fab54 | start color #ca337c, 5, end color #ca337c |

3, point, 405, equals, start color #11accd, 3, end color #11accd, start text, space, o, n, e, s, end text plus, start color #7854ab, 4, end color #7854ab, start text, space, t, e, n, t, h, s, end text, plus start color #1fab54, 0, end color #1fab54, start text, space, h, u, n, d, r, e, d, t, h, s, end text, plus, start color #ca337c, 5, end color #ca337c, start text, space, t, h, o, u, s, a, n, d, t, h, s, end text

empty space, equals, left parenthesis, start color #11accd, 3, end color #11accd, times, 1, right parenthesis, plus, left parenthesis, start color #7854ab, 4, end color #7854ab, times, start fraction, 1, divided by, 10, end fraction, right parenthesisplus, left parenthesis, start color #1fab54, 0, end color #1fab54, times, start fraction, 1, divided by, 100, end fraction, right parenthesis, plus, left parenthesis, start color #ca337c, 5, end color #ca337c, times, start fraction, 1, divided by, 1000, end fraction, right parenthesis

**3, point, 405 in expanded form is start color #11accd, 3, end color #11accd, plus, start color #7854ab, start fraction, 4, divided by, 10, end fraction, end color #7854ab, plus, start color #ca337c, start fraction, 5, divided by, 1000, end fraction, end color #ca337c.**

*Want to learn more about expanded form? Check out this video.*

## Want to join the conversation?

- do you guys like lemonade(153 votes)
- well, it depends on the lemon and in what format e.g., q " do you like the taste of lemon fruit " witch if you are asking taste then my answer is yes(12 votes)

- I like that there are videos before you get started(64 votes)
- honestly who created math(49 votes)
- a smart person(13 votes)

- Why are decimals so hard? I mean I get all the practice and they just seem so hard once I do them.(16 votes)
- Sometimes the concepts give us fits and are hard to understand. You just need to keep practicing, and then before too long you'll have that "AHA" moment where it will all make sense.

Sometimes I recommend using money to work with decimals. After all, $3.95 and $79.50 are decimals, and if you practice adding money (two items at $3.95), how much will your bill be? If you practice subtracting money (something costs $9.37 and you give a $10.00 bill, how much change will you get)

Keep at it. You can do it!!(63 votes)

- I don't understand the practice for Decimals in expanded form, Can someone help(19 votes)
- Basically in a decimal, there are 4 places,

ones. tenths | hundredths | thousandths

so for example here is a decimal, 4.209

4, is in the ones place

2, is in the tenths place

0, is in the hundredths place

9, is in the thousandths place.

So expanded form is just add the ones, tenths, hundredths, and thousandths place together

For example,

We have our decimal 4.209,

so the expanded form is 4 + 0.2 + 0.00 0.009(29 votes)

- How do you do this assignment? I need help. These assignment are hard. Therefore, I can't do them. Oh wait! My assignments are starting to get really easy! Thanks for the help, Khanacademy.com.(31 votes)
- Why are these so easy but hard at the same time?(22 votes)
- I know right they seem easy but then theyre also easy to mess up thats what makes them hard.(12 votes)

- Why did math became so popluar(16 votes)
- it did not just people had to use it a lot(9 votes)

- i don't understand (8x1000)+(6x100)+(2x10)+(4x1+(3x1/100)(11 votes)
- You do all the things in () first before adding them all together. Your question's answer is 8,624.03(16 votes)

- my "Decimals in expanded from" doesn't work so it put me here.😅(16 votes)