November 22, 2011
Review:
Write each fraction in simplest form
1. 8 2. 10 3. 12 10 50 48
4. 70 5. 24 6. 125 100 36 1,000
November 22, 2011
Vocabulary:
Terminating Decimal: stops, or terminates
Repeating Decimal: if the same block of decimal repeats without ever ending
November 22, 2011
Objectives:
1. Relate Fractions and Decimals
November 22, 2011
Player Hits Times at Bat
Fraction of Hits
Batting Average
Shannon 57 185 57185 .308
Jennifer 73 199 73199
Sabrina 39 155 39155
Tania 56 191 56191
The ball comes speeding toward you. You swing the bat, hoping for a hit. Will you make it? Research shows that most players get a hit less than 1/3 of the time.
1. Find the batting average for each player. Round to the nearest thousandth
2. Which player had the highest batting average? Order them from highest to lowest.
November 22, 2011
November 22, 2011
November 22, 2011
Which was easier to compare, the fraction of hits for each player or the decimal batting average?
Explain your reasoning.
How could you find whether any player got a hit more than 1/3 of the time?
November 22, 2011
Last week, we worked with comparing fractions by finding common denominators. Another way to compare fractions is to turn the fractions into decimals.
The fraction bar actually represents division, so . . .
Turn a fraction into a decimal by dividing the numerator by the denominator.
Ex.)
November 22, 2011
The concentration of nitrogen in a chemical sample is 5/8. Write the fraction as a decimal.
November 22, 2011
Change the following fractions into decimals. Tell whether the decimals are terminating or repeating.
a. 4/5
b. 3/11
c. 2/11
d. 5/15
e. 25/100
November 22, 2011
November 22, 2011
November 22, 2011
Is the number
3.03003000300003000003 . . .
a repeating decimal? Why or why not?
November 22, 2011
It is also possible to write a terminating decimal as a fraction or mixed number.
ex) 0.5 is read "5 tenths" which is the same as 5/10
November 22, 2011
Change the decimals into fractions/mixed numbers in simplest form:
a. 1.325
b. 1.364
c. 2.48
d. 0.6
November 22, 2011
When students are asked which enrichment class they prefer, 0.25 choose sign language, 10/48 choose business, 5/12 choose robotics, and 0.125 choose study hall. List their choices in order of preference.
November 22, 2011
Order from greatest to least:
7/8, 0.35, 8/15, 0.862
November 22, 2011
November 22, 2011
What is a terminating decimal?
What is a repeating decimal?
November 22, 2011
1. In your notebooks, explain how to change fractions to decimals.
2.Homework:
Pg. 170 - 171: 2 - 34 even, 49-60 all