3.3: Decimals in Words
Julie has figured out how to identify decimals and how to determine the place value of certain decimals. She also knows how to write one out in expanded notation. With confidence, she was able to finish this section of her homework.
What about writing decimals? Do you know how to do that?
Well, the next part of Julie's homework requires that she know how to write a decimal out in words. Here is the first decimal in this part of the homework.
\begin{align*}.567\end{align*}
Julie isn't sure how to write this one out.
This Concept is all about reading and writing decimals. This is exactly what is needed for Julie to be successful in her assignment.
Guidance
We have been learning all about figuring out the value of different decimals. We have used place value to write them, we have used pictures and we have stretched them out. Now it is time to learn to read and write them directly. Let’s start with reading decimals.
How do we read a decimal?
We read a decimal by using the words that show the place value of the last digit of the decimal.
\begin{align*}.45\end{align*}
To help us read this decimal, we can put it into our place value chart.
Hundred  Tens  Ones  Tenths  Hundredths  Thousandths 
Ten Thousandths 


.  4  5 
We read this decimal by using the place value of the last digit to the right of the decimal point. Normally, we would read this number as fortyfive. Because it is a decimal, we read fortyfive hundredths. The last digit is a five and it is in the hundredths place.
Can we use place value to write the number too?
Yes we can. We write the number as we normally would.
Fortyfive
Next, we add the place value of the last digit to the right of the decimal point.
Fortyfive hundredths
Our answer is fortyfive hundredths.
We can use this method to read and write any decimal. What about a decimal with more digits?
\begin{align*}.5421\end{align*}
First, let’s put this number in our place value chart.
Hundred  Tens  Ones  Tenths  Hundredths  Thousandths 
Ten Thousandths 


.  5  4  2  1 
First, let’s read the number. We can look at the number without the decimal. It would read:
Five thousand four hundred twentyone
Next we add the place value of the last digit
Ten thousandth
Five thousand four hundred and twentyone ten thousandths
This is our answer.
It is also the way we write the number in words too. Notice that is it very important that we add the THS to the end of the place value when working with decimals.
Now let's practice. Write each decimal in words.
Example A
\begin{align*}.7\end{align*}
Solution: Seven Tenths
Example B
\begin{align*}.765\end{align*}
Solution: Seven Hundred and Sixty  Five Thousandths
Example C
\begin{align*}.2219\end{align*}
Solution: Two Thousand Two Hundred and Nineteen Ten  Thousandths
Do you have it? Now it's time to help Julie with this part of her math homework. Here is the original problem once again.
Julie has figured out how to identify decimals and how to figure out the place value of certain decimals. She also knows how to write one out in expanded notation. With confidence, she was able to finish this section of her homework.
What about writing decimals? Do you know how to do that?
Well, the next part of Julie's homework requires that she know how to write a decimal out in words. Here is the first decimal in this part of the homework.
\begin{align*}.567\end{align*}
Julie isn't sure how to write this one out.
First, let's read the number as if it wasn't a decimal.
Five hundred and sixty  seven.
But because this is a decimal, we have to add the place value of the last digit to the right. This is a seven in the thousandths place.
Our answer is five hundred and sixty  seven thousandths.
Vocabulary
Here are the vocabulary words in this Concept.
 Whole number
 a number that represents a whole quantity
 Decimal
 a part of a whole
 Decimal point
 the point in a decimal that divides parts and wholes
 Expanded form
 writing out a decimal the long way to represent the value of each place value in a number
Guided Practice
Here is one for you to try on your own.
Write the following decimal in words.
\begin{align*}.1345\end{align*}
Answer
First, we can write the decimal out as if it wasn't a decimal.
One thousand three hundred and forty  five
Next, we add the place value of the last digit which is a five in the ten  thousandths place.
Our answer is one thousand three hundred and forty  five ten  thousandths.
Video Review
Here are videos for review.
Khan Academy Decimal Place Value
James Sousa, Write a Number in Decimal Notation from Words
Practice
Directions: Write out each decimal in words.
1. .5
2. .8
3. .21
4. .18
5. .4
6. .56
7. .93
8. .801
9. .834
10. .355
11. .155
12. .624
13. .5623
14. .9783
15. .5671
16. .2134
17. .0123
18. .0098
19. .0008
20. .0001
Decimal
In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of onetenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).Decimal point
A decimal point is a period that separates the complete units from the fractional parts in a decimal number.Expanded Form
Expanded form refers to a base and an exponent written as repeated multiplication.Whole Numbers
The whole numbers are all positive counting numbers and zero. The whole numbers are 0, 1, 2, 3, ...Image Attributions
Description
Learning Objectives
Here you'll learn how to read and write decimals to the ten  thousandths place.