The week we learned about decimals, we first learned about the place value.
Place Value: The value of a digit as determined by its position in a number. These are the place values-
This is how you would write out and/or say a number that has a decimal in it:

1.) 23.52 = twenty-three **and** fifty-two hundredths

2.) 6.4193 = six **and** four thousand, one hundred, ninety-three thousandths

We then learned what **terminating decimals **are.

A t__erminating decimal__ is a decimal that doesn't keep going or repeat.

A **terminating decimal** is 3.2

A non- **terminating decimal** is 3.2394847395883...

Since the fraction, 9/80 is written like this, another way to look at it is saying, 9 divided by 80. When you do this expression..9 divided by 80, you end up with a decimal answer of 0.1125.

__How to convert decimal numbers__

Steps in order to convert 42/100 into a decimal. Using Division

7/1,000= 0.007

82/10,00= 0.0082

Another trick I used was, moving the decimal. How many zeros there are, is how many times I would move the decimal from the original spot to the new spot, to convert the fraction.

Ex) 64193/10,000. The decimal is at the end of the number 64193.0, so I move the decimal over to the right 4 decimal places..

So 64193/10,00 = 6.4193
Converting Fractions to Decimals - On WebMath.com, you can put in any fraction you want to be converted into a decimal. By providing the number of decimal places you want, it shows you step-by-step on how to get the answer using the division technique.

- First, interpret the fraction bar to mean "divided by." This means that 42/100 is the same as 42 divided by 100.
- Second, since there are two zeros..you will put your answer into two decimal places, so we'll write the 42 as 42.00 instead (a 42 with 2 zeros after the decimal point).
- Now, just do what the fraction bar says: divide 42.00 by 100:

42/100 written as a decimal to 2 decimal places is 0.42.
31/100= 0.31
__Methods for Converting Fractions to Decimals__
ALSO, we can convert a fraction to an equivalent fraction with a denominator that is a power of ten before converting to a decimal. Like this-

1/2 = 5/10 = 0.5

3/20 = 15/100 = 0.15

1/8 = 125/1000 = 0.125

The decimal equivalent of a proper or improper fraction can be calculated by dividing the numerator by the denominator. The result will be a **terminating** or **repeating** decimal.

3/4 = 0.75 **terminating decimal**

3/8 = 0.375 **terminating decimal**

4/15 = 0.0666... **repeating decimal**

__Method for Converting Terminating Decimals to Fractions__

Use the place value to convert the terminating decimal to a fraction that is a power of ten. Then, reduce to lowest terms.

The denominator of a fraction converted from a

** terminating decimal** will be a multiple of 2 and/or 5.

0.5 = 5/10 = 1/2

0.2 = 2/10 = 1/5

0.15 = 15/100 = 3/20

0.125 = 125/1000 = 1/8