Do Now 2/10/12
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Take out HW from last night.
– Text p. 229, #1-20 all, 22-34 evens
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Copy HW in your planner.
– Text p. 234, #1-10 all, 18-33 all, 36-40 all, 49
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In your journal, answer the following question. The
students at Westview Middle School are collecting cans of
food for the local food bank. Their goal is to collect 2,000
cans in one month. After 10 days, they have collected
800 cans of food. What percent of their goal have they
reached?
Homework
Text p. 229, #1-20 all, 22-34 evens
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1) proportion
2) decimal
3) ratio
4) simplest form
5) 0.8
6) 0.53
7) 0.739
8) 0.07
9) 0.4
10) 0.625
11) 0.583
12) 0.65
13) 1/20
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14)
15)
16)
17)
18)
19)
20)
22)
24)
26)
28)
30)
32)
34)
23/25
13/1000
4/5
3/500
61/200
7/10,000
26/25 or 1 1/25
95
1/8
1/4
15
7
4
16
The students at Westview Middle School are
collecting cans of food for the local food bank.
Their goal is to collect 2,000 cans in one month.
After 10 days, they have 800 cans of food. What
percent of their goal have they reached?
0
200
400
800
600
1,000
1,200
1,400
1,600
1,800
2,000
As a
fraction
1
5
0
800
2,000
2
5
3
5
4
5
0.4
0.6
0.8
1.0
60%
80%
100%
=
5
5
As a
decimal
0
0.2
As a
percent
0
20%
40%
The model shows that 800 out of 2,000 can be written as 800 , 2 , 0.4, or 40%.
2000 5
The students have reached 40% of their goal.
Objective
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SWBAT write decimals and fractions as
percents
Section 6.1, “Fractions, Decimals,
and Percents”
Percentmeans ‘per one hundred’
or divided by 100.
How many cents
are there in a dollar?
Writing Decimals as Percents
%
Always move the decimal
point TWO places to the
RIGHT and add a % sign!
0.71
0.71%
When you move the decimal point two places to the RIGHT,
you are really multiplying by 100.
Writing Decimals as Percents
0.12
0.245
12%
24.5%
2
0.0045
200%
0.45%
Writing Fractions as Percents
Percent
a fraction/ratio whose denominator is
15
O
O
15
15% =
100
100
Writing Fractions as Percents
Method #1
Write the fraction as an equivalent
fraction with a denominator of 100.
3 x4
25 x 4
12
100
12%
4 x 20
5 x 20
80
100
80%
Writing Fractions as Percents
Method #2
7
Use division to write the fraction
8
as a decimal.
A fraction is the quotient
of two integers
This means 7 divided by 8.
7
8
7 8
0.875 = 87.5%
0 87 5
8 7 .0 0
64
6
56
4
40
Finished
Writing Fractions as Percents
0 41 6
12 5 .0 0
48
A fraction is the quotient
of two integers
2
12
This means 5 divided by 12.
8
5 5 12
72
12
8
0.416 = 41.6% Repeating decimal
5
Rewrite the fraction
as a decimal.
12
Ordering Rational Numbers
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To compare and order rational numbers:
(1) Write all of the numbers as decimals
with the same number of decimal places.
(2) Graph the numbers on a number line to
see the correct order.
Using a Number Line
Plot the numbers on a number line. Then order them from least to greatest.
2
5
, 20%, 0.67,
, 145%
5
8
0.2
0.4
0.2
0
0.4
0.67
0.625 1.45
0.625 0.67
0.5
1.45
1
In order them from least to greatest.
2 5
20%, , , 0.67, 145%
5 8
1.5
Order the Rational Numbers from Least to Greatest
7
10
Line up numbers by
the decimal point
0.7
0.77
0.71
0.7
,0.77, 71%, 0.7
Write all decimals in
the same place value
0.7
0.700
0.770
0.77
0.71
0.710
0.777
0.7
7
10
,71%, 0.77, 0.7
Write all numbers as
decimals.
Place numbers in
order from least to
greatest
NJASK7 Prep
Homework
– Text p. 234, #1-10 all, 18-33 all, 36-40 all, 49