Decimals

There is one very easy way of remembering the names for the certain placements in a decimal. Obviously the number before the decimal is the ones place, but to the right of the decimal is the tenths place. An easy way of looking at it is it's the same as the left of the decimal only your adding a "ths" at the end of each word.

 

• tenths
• hundredths
• thousandths
• ten thousandths
• hundred thousandths
• millionths

Also, the fraction form of the number is the number over the place value.
Example: .005 is 5/1,000
               .0006 is 6/10,000


There is also a expanded notation way of writing out a decimal. You just go down the list of numbers in order, concentrate on only one number at a time and then more on to the next one.
Example: 34.8923 in expanded notation is --->
3(10) + 4(1) + 8(1/10) + 9(1/100) + 2(1/1,000) + 3(1/10,000)

Converting:
How do you convert a fraction into a decimal? Simple, just identify the place value of the denominator and move the decimal point that many times over.
Example:  5/100 is .05
you want to put the number that's the numerator in the place value of the denominator. * I put the 5 in the hundredths place.
* practice converting fractions to decimals and decimal to fractions with this ACTIVITY

Vocabulary Terms:
rational numbers: any number that can be written in the form a/b where "b" isn't 0