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Course: 5th grade (Eureka Math/EngageNY) > Unit 1
Lesson 1: Topic A: Multiplicative patterns on the place value chart- Place value with decimals
- Place value names
- Value of a digit
- Decimal place value review
- Multiplying and dividing by 10, 100, 1000
- Multiplying and dividing by powers of 10
- Multiply and divide by powers of 10
- Introduction to powers of 10
- Powers of ten
- Powers of 10 review
- Multiplying decimals by 10, 100, and 1000
- Dividing decimals by 10, 100, and 1000
- Multiply and divide decimals by 10
- Multiply and divide decimals by 10, 100, and 1000
- Using exponents with powers of 10
- Exponents and powers of 10 patterns
- Thousandths on the number line
- Decimals on the number line: thousandths
- Fractions as division by power of 10
- Comparing decimal place values
- Compare decimal place value
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Decimal place value review
Review decimal place value, and try some practice problems.
Place value chart
The number can be placed on a place value chart as follows:
Tens | Ones | . | Tenths | Hundredths | Thousandths | |
---|---|---|---|---|---|---|
Decimal place value
The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
Example:
The number is made up of tenths and hundredth.
We can also write this as:
or
Or we can use a place value chart:
Ones | . | Tenths | Hundredths |
---|---|---|---|
Want to learn more about decimal place value? Check out this video.
Want to review whole number place value? Check out this article.
Practice
Want to try more problems like this? Check out these exercises:
Decimal place value names
Value of a decimal digit
Decimal place value names
Value of a decimal digit
Want to join the conversation?
- who created decimals?(247 votes)
- Decimals were created by the Chinese at the end of 4th century BCE(88 votes)
- can you get points for doing good work
:\(84 votes)- Do you mean Khan Academy's energy points? If so, yes! You'll get energy points for doing practice problems and watching videos. :)(76 votes)
- when was decimals first used in history?🤔(30 votes)
- 4th Century BC
The first decimal system was introduced in the 4th Century BC by the Sumerians of Mesopotamia, to whom the invention of writing is credited. They based their numerical system on powers of 60 subdivided into multiples of 10.(55 votes)
- why are decimals called decimals and also how were numbers made?(22 votes)
- numbers were made in the pristoric times when people used them in the caves on the wall and desimals were made in china and then it got to the middle east and then boom here we are doing desimals(19 votes)
- i dont under stand(17 votes)
- You do 0.008 instead of 9.038(12 votes)
- It's hard but it got easier and easier and easier(15 votes)
- Will one of us someday be the new Albert Einstein?(12 votes)
- It's possible! If you study hard, maybe you'll be able to figure out some of the problems that Einstein had difficulty with.(13 votes)
- Hi guys I don’t get place value with decimals. can u help me(11 votes)
- sure.
if you have 2 dollars and 50 cents your total is 2.50 the .5 in this is going to be your fifty cents.
if you has just got something and got .05 of a dollar back that is five cents.
do you get it now?(11 votes)
- who created math's
why do he create maths(10 votes)- man, I don't know but I think he hated peoples(6 votes)
- im confused can you help me(5 votes)
- If you need any help this will help,
The place value chart includes decimals which means that .02 is the same as 2 cents.
and if we did 3.4 that could be 3 dollars and 4 cents do you get it now?(4 votes)