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## Arithmetic

### Course: Arithmetic>Unit 11

Lesson 6: 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 $3.405$ in expanded form.
Ones.TenthsHundredthsThousandths
$3$.$4$$0$$5$
$\phantom{3.405}=\left(3×1\right)+\left(4×\frac{1}{10}\right)$$+\left(0×\frac{1}{100}\right)+\left(5×\frac{1}{1000}\right)$
$\phantom{3.405}=3+\frac{4}{10}+0+\frac{5}{1000}$
$3.405$ in expanded form is $3+\frac{4}{10}+\frac{5}{1000}$.

## Practice

Problem 1
$57.142=\phantom{\rule{0.167em}{0ex}}?$

Want to try more problems like this? Check out this exercise.

## Want to join the conversation?

• do you guys like lemonade
• 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
• I like that there are videos before you get started
• I agree too
• honestly who created math
• a smart person
• Why are decimals so hard? I mean I get all the practice and they just seem so hard once I do them.
• 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!!
• I don't understand the practice for Decimals in expanded form, Can someone help
• 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
• 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.
• Why did math became so popluar
• it did not just people had to use it a lot