Upload
bradley-walter
View
28
Download
0
Embed Size (px)
DESCRIPTION
Fractions, Decimals, Percents. October, 2013. Reminder…. Numerator represents the… “part” Denominator represents the… “whole” So, Example: There were 15 elephants in the zoo that has 236 animals. Write a fraction representing this situation. Types of Decimals. - PowerPoint PPT Presentation
Citation preview
Fractions, Decimals, Percents
October, 2013
Reminder… Numerator represents the…
“part”
Denominator represents the…
“whole”
So,
Example: There were 15 elephants in the zoo that has 236 animals. Write a fraction representing this situation.
wholepart
Types of Decimals Examine the decimal below. What do you
notice?
6.375
Terminating Decimal: Any decimal that “terminates”
“Terminates” means “to end or stop”
Examples of Terminating Decimals:
5.67 4.23
-6.901 -3.75
A terminating decimal is part of the real number system. How is it classified?
Examine the decimals below. What do you notice?
6.33333….
Repeating Decimal: Any decimal that has a constant pattern of digits that repeat.
Examples:
5.3333… “3” is the repeating digit
6.3030… “30” is the repeating pattern
-1.233233… “233” is the repeating pattern
3.6
Repeating Decimals
A repeating decimal is part of the real number system. How is it classified?
Bar Notation:
The line above the repeating digits
only occurs over the repeating part
Examples:
1.34 1.23 16.598
Fractions, Decimals & Percents
All three have the same value, they are just represented in different ways.
CAN calculate with fractions AND decimals!
CANNOT calculate with percents!
Note to self:
Use “Examples” document for practice on each section.
FRACTIONS TO DECIMALS
Fractions to Decimals
Any fraction can be written as a decimal –
How?
Divide the numerator by the denominator.
YOU MUST BE ABLE TO SHOW THIS USING LONG DIVISION!!
5/8 = .625
2/5 = .40
FRACTIONS TO PERCENTS
Fractions to Percents
Percent means…“Per 100” or “Out of 100”
Fractions to Percents
Make the fraction a decimal and multiply by 100 (move decimal 2 places to right)
1/4 = .25 = 25%12/25 = .48 = 48%
You try! Fraction to Decimal: (use long
division)
Fraction to Percent:
53
97
1
87
506
DECIMALS TO FRACTIONS
Decimals to Fractions
“SAY” the decimal and create the fraction …then, simplify!
.35 = 35/100 = 7/20.217 = 217/1000
Repeating Decimals to Fractions
How do you make a repeating decimal into a fraction?There is a very complicated process that ultimately says “take the repeating part of the decimal and put it over a denominator that has the same number of 9’s.”
Example – 0.3333… = 3/9 = 1/3
.484848… = 48/99
DECIMALS TO PERCENTS
Decimals to Percents
Multiply by 100 (move decimal 2 places to right)
.25 = 25%.48 = 48%
Decimals to Percents
D ----- P
D ------- P
You Try!
Decimals to Fractions:0.52 0.8
Decimals to Percents:0.13 0.192
PERCENTS TO FRACTIONS
Percents to Fractions
Percent = “Per 100” or “Out of 100”…Removing the % sign and
placing the number over 100.
23% = 23/100
55% = 55/100 (simplify)
PERCENTS TO DECIMALS
Percents to Decimals
Divide the percent by 100 (move decimal 2 places to the left)
23% = .23
64% = .64
Percents to Decimals
D ----- P
D ------- P
You Try!
Percents to Fractions:85% 1%
Percents to Decimals:21% 27.3%
Quick Tip – Decimal/Percent
.83
46%
FormativeClean Sheet – Practice – 1 of 3
Write each fraction as a decimal (use long division).1/8 5/9 7 ½
Write each decimal as a fraction..22 0.1 4.6
Practice – 2 of 3
Write each fraction as a percent.¼ 6/10 17/20
Write each percent as a fraction.90% 75% 22%
Practice – 3 of 3
Write each percent as a decimal.27% 70% 6%
Write each decimal as a percent..95 .08 5.8