Transcript Relating Fractions, Decimals, and Percents

Fractions, Decimals, and
Percents
Lesson 6.1
Objectives
California
Standards
NS1.3 Convert fractions to decimals and
percents and use these representations in
estimations, computations, and applications.
Students compare and order fractions,
decimals, and percents.
Words to
know…
• Percents – ratios that compare a number to 100.
28
 28%
100
Do you
remember???
To convert a fraction to a decimal,
divide the numerator by the
denominator.
1
= 0.125
8
To convert a decimal to a percent,
multiply by 100 and insert the
percent symbol.
0.125

100  12.5%
solve
18 < -6x
-6
-6
-3 > x
Verbal Phrase
18 is less than – 6
times x
Inequality
x
<
-3
Graph
-8 -6 -4 -2
1
4
1
5
3
4
3
4
7
10
1
2
Comparing
Fractions,
Decimals, and
Percents
Compare. Write <, >, or =.
1
4
40%
1 = 0.25 = 25%
4
Write as a
percent.
25% < 40%
Compare.
1 < 40%
4
Comparing
Fractions,
Decimals, and
Percents
Compare. Write <, >, or =.
0.893
50%
0.893 = 89.3%
89.3% > 50%
0.893 > 50%
Try on your
own…
Compare. Write <, >, or =.
3
4
65%
3 = 0.75 = 75%
4
75% > 65%
3 > 65%
4
Ordering
Fractions,
Decimals, and
Percents
Write 35%, 0.25, 1 , and 200% in
2
order from least to greatest.
1 = 0.50 = 50%
2
0.25 = 25%
25% < 35% < 50% < 200%
0.25, 35%, 1 , 200%
2
Summary:
A percent is…
Lesson Quiz
Find each equivalent value.
1. 3 as a percent
8
2. 20% as a fraction
3.
5
as a decimal
8
37.5%
1
5
0.625
Compare. Write <, >, or =.
7
4. 11
5. 0.650
30%
97%
>
<
Lesson Quiz Part 2
6. Write 245%, 1 , 0.133, and 66.6% in order
5
from least to greatest.
1
0.133, 5 , 66.6%, 245%
5. About 342,000 km2 of Greenland’s total area
(2,175,000 km2) is not covered with ice. To the
nearest percent, what percent of Greenland’s
total area is not covered with ice?
16%