8.5 Fractions, Decimals, and Percents (p.191-193)

I. Types of Decimals
A. Terminating Decimal: A fraction in decimal form that has zero has a remainder when you divide using long division.
ex: 1/2 = 0.5 = 0.50000000 (if you would try to keep dividing you would only get 00000... because there is nothing left to divide out)
B. Repeating Decimal A decimal that has a pattern of repeating numbers (or one number)- shown as a remainder when dividing--> use a horizontal line above repeating digits (called a vinculum)
ex: 1/9 = 0.1.... = 0.1
4/11 = 0.363636363636 = 0.36
**Try turning some of these fractions into decimal to find repeating patterns:
2/3
7/12
1/7
1/81

II. Turning common fractions into decimals
A. Divide the top number by the bottom number
Ex. 4/5 = 4÷ 5 = 0.8

III. Decimals into fractions
A. Decimals can be turned into percentages by moving the decimal point two places to the right (the the hundredths place)- this shows the value out of 100 equal parts (per cent=>per 100) making up the whole.
Ex: 1/4 = 1 ÷ 4 = 0.25 = 25%
Ex2: 1/3 = 1 ÷ 3 = 0.33...repeating = 33.3% (there should be a line over the 3 in the tenths place.

Try this activity from mathgoodies.com to see what you know
Here is an explanation from mathgoodies that might help too.