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__**=Representing Decimals=**__

Decimal Placement Mini Lesson
For decimals the placement value is based on the position of each number. If the number was 24.9, the two would represent the tens, the four would represent the ones, and the nine would represent the tenths. The decimal separates the whole number and the number less than one.

Writing Decimals
When writing decimals you can write them in standard form or expanded form. //**Standard form**// is the usual way you would write a decimal. **//Expanded form//** is a sum of the products of each digit and it's place value. One other way you could write decimals is in **//word form//**. Which is just writing out the number in word form.

How to write out Decimals
If you had the number 0.12 that is how you would write it out in **//standard form//**. To write it in word form it would be __**twelve hundreths**__. The way you decide how to write a decimal out is in this case there is no whole number in the ones place, so lets use 35.37**8**. So if you look at the last number which is in the thousandths you would say it is thirty- five __//**and**//__ three hundred seventy- six //**thousandths**//( for more info on this look at page 103 in txtbk).So basically you write it out how you would say it. To write it in **expanded form** you write out the number as a sum of the products of each digit and it's place value. The way to do this is by this: If the # is 54.0008 You look at the tens the whole # is 50 so it would be: (5 multiplied by 10). And if you did the whole problum it woud look like this: (5 multiplied by 10) +(4 times1)+ (0times 0.1)and so forth.

**==Quiz==**


 * 1) 1. How is 36.976 written in word form?     #2. How is 60.867 written in word form


 * 1) 3. How is seventy-five and four hundred ninety-nine thousandths written in standard form?    #4. How is Forty- two and three hundred and fifty- two thousandths                                                                written in word form?


 * 1) 5. How is 74.087 written in expanded form? #6. How is 67.789 written in expanded form?


 * 1) 7. In **__4__**5.67 what is the place value of **__4__**?   #8. What is the definition of expanded form?   #9. What is the value of the **__6__** in 789.__**6**__54?

Other Ways to Show Decimals


This is another way to show decimals.(look at pg. 102 in txtbk for examples) If you look at the picture the grid is not full. therefore there are no whole numbers in the decimal. This does mean there are numbers less than one, so if you look at the columns that are full, there are two FULL which means it is equal to 0.11. ( look at the chart up at the top of the page)

Other Relations
Decimals can be related in many ways. Some are: Money and percentages.

Websites
[|Check out this cool txtbk site]

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