Download Chapter 3 Rational Numbers

Chapter 3
Rational Numbers
Math 7
Bellringer
Wednesday 9/19/12
What fraction of a dollar is ten cents?
What fraction of a dollar is 25 cents?
What fraction of a dollar is 50 cents?
What fraction of a dollar is 75 cents?
If you are given an amount of money in cents, how
can you find the fraction of a dollar it represents
in simplest form?
Terminating and Repeating Decimals
3.1B
Terminating Decimals-is a decimal with digits
that end
Repeating Decimals-have a pattern in their digits
that repeat forever.
You can use bar notation to indicate that a
number pattern repeats indefinitely.
Any fraction can be written as a decimal by
dividing its numerator by its denominator.
Every terminating decimal can be written as a
fraction with a denominator of 10, 100, 1000
etc.
Write each number as a decimal.
Use bar notation if it repeats
Work Problems on board
Write each decimal as a fraction or
mixed number in simplest form.
Write problems on board
Write each of the following as an
improper fraction
Write problems on board.
Homework
Worksheet #2-26 Even
Bellringer
Thurday 9/20/12
• Write the following as a decimal
1. -3/4
2. 5 2/3
• Write the decimal as a fraction or mixed
number
1. -.22
2. 4. 87
Compare and Order Rational Numbers
3.1 C
Rational Number-is a number that can be
expressed as a ration of 2 integers expressed
as a fraction, in which the denominator
cannot be 0.
Common denominator- is the common multiple
of the denominators of 2 or more fractions.
Least common denominator (LCD)-is the LCM of
the denominators.
• Not all numbers are rational numbers. For
example the greek letter pi is an irrational
number. 3.14….
• Irrational numbers are numbers that go
forever with no pattern.
Compare using <, >, and =
Write problems on board
Order each set from least to
greatest
Write problems on board
Homework
pg 177 #12-19 all, 26-34 even
Bellringer
Friday 9/21/12
• Order from least to greatest: 7.49, 7 49/50,
7.5%
• Write as a fraction: .23
• Compare: 6 2/3 and 6.5
Add and Subtract Like Fractions
• Fractions that have the same denominator are
called like fractions
Add or subtract and write each in
simplest form.
Work problems on board
Use the order of operations to add
and subtract. Write in simplest
form.
Work problems on board
HOMEWORK
None
Bellringer
Monday 9/24/12
• Order from least to greatest and graph on the
number line.
2.56, -3.7, 2 ½ , -1 ¾
Add and Subtract unlike Fractions
3.2 C
Before you can add unlike fractions, or fractions
with different denominators, you must find a
common denominator.
Add or subtract. Write in simplest
form.
Work problems
Simplify
Work problems
Evaluate
a= ¾, b= 5\6
Work problems
Bellringer
Tuesday 9/25/12
Jack and Jill are joggin on a track. Jill jogs ¼ of a
mile and then stops. Jack jobs 5/6 of a mile,
stops, and then turns around and jogs ½ of a
mile. Who is further ahead on the track?
Explain.
Homework
pg 238 # 22-36 even
Add/Subtract Mixed Numbers
To add/subtract mixed numbers, first
add/subtract the fractions. If necessary
rename using the LCD, then add/subtract the
whole numbers. Simplify.
Add or subtract. Simplify.
Work problems
Homework
pg 242 # 21-31 odd
Bellringer
Wednesday 9/26/12
• Add: 7 ½ + 6 ¾
• Order: 4.5, 4 5/8 , -2.78, -2 ¾
• Subtract: 5 1/6 – (-4 ½ )
Multiply Fractions
3.3 B
To multiply fractions. Multiply the numerators
and denominators, then simplify.
Multiply. Write in simplest form.
Work problems on board.
Evaluate each verbal expression:
1.
2.
3.
4.
Four sevenths of two thirds.
One third of eleven sixteenths.
Find one half of one fourth of a gallon
Find one one-hundredth of one onethousandth of a kilometer
Evaluate each expression if:
a=4, b=2 ½ ,c= 5 ¾
1. a(b) + c
2. 2bc
HOMEWORK
pg 224 #26-40 even
Bellringers
Thursday 9/27/12
• Multiply: 4 (-5/3)
• Multiply: 2 ½ (3 7/8 )
Divide Fractions
3.3 D
To divide fractions, multiply by the reciprocal
To divide a mixed number, rename the mixed
number as a fraction greater than one.
Divide and write in simplest form
Work problems on board.
Homework
pg 228 # 22-36 even
Bellringer
Friday 9/28/12
• Multiply: (-3/4)(-5/7)
• Multiply: (2 ½)(3/4)
• Divide: 2/3 ÷ 7/3
Ch. 3 Review Day
Work problems on board
Homework
Study Guide. Test MONDAY